Theory of Intertwined Orders in High Temperature Superconductors

Abstract

The electronic phase diagrams of many highly correlated systems, and in particular the cuprate high temperature superconductors, are complex, with many different phases appearing with similar-sometimes identical-ordering temperatures even as material properties, such as a dopant concentration, are varied over wide ranges. This complexity is sometimes referred to as "competing orders." However, since the relation is intimate, and can even lead to the existence of new phases of matter such as the putative "pair-density-wave," the general relation is better thought of in terms of "intertwined orders." We selectively analyze some of the experiments in the cuprates which suggest that essential aspects of the physics are reflected in the intertwining of multiple orders-not just in the nature of each order by itself. We also summarize and critique several theoretical ideas concerning the origin and implications of this complexity.

30 pages, 6 figures, lots of references; vastly improved new version with a new introduction and a new section (VII) and an edited figure; new version with mild edits to the figure captions. Version to be published in Reviews of Modern Physics

References in corpus (77)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Scanning tunneling spectroscopy of high-temperature superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Two Gaps Make a High Temperature Superconductor?
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Energy gaps in high-transition temperature cuprate superconductors
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Enhancement of superconductivity near a nematic quantum critical point
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Are non-Fermi-liquids stable to Cooper pairing?
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Phase competition in trisected superconducting dome
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• The Ground State of the Pseudogap in Cuprate Superconductors
• Dislocations and vortices in pair density wave superconductors
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Fermi liquid instabilities in the spin channel
• Charge density wave fluctuations in La2-xSrxCuO4 and their competition with superconductivity
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• Anomalous High-Energy Spin Excitations in La2CuO4
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Magnetic neutron scattering in hole doped cuprate superconductors
• Theory of the striped superconductor
• Evidence of Andreev bound states as a hallmark of the FFLO phase in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Optically induced superconductivity in striped La2-xBaxCuO4 by polarization-selective excitation in the near infrared
• Enhancement of the Nernst effect by stripe order in a high-Tc superconductor
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Distinguishing Patterns of Charge Order: Stripes or Checkerboards
• Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+d
• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Rotated stripe order and its competition with superconductivity in La${}_{1.88}$Sr${}_{0.12}$CuO${}_4$
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Melting of Charge Stripes in Vibrationally Driven La1.875Ba0.125CuO4: Assessing the Respective Roles of Electronic and Lattice Order in Frustrated Superconductors
• Kerr effect as evidence of gyrotropic order in the cuprates
• Spectral signatures of modulated d-wave superconducting phases
• Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases
• Stability of nodal quasi-particles in superconductors with coexisting orders
• Magneto-optical signatures of a cascade of transitions in La${}_2-x$Ba${}_x$CuO${}_4$
• Spin-stripe density varies linearly with hole content in single-layer Bi2201 cuprate
• Towards a two-dimensional superconducting state of La${}_{2-x}$Sr${}_x$CuO${}_2$ in a moderate external magnetic field
• Pre-pairing and the "Filling" Gap in the Cuprates From the Tomographic Density of States
• Quantum critical point for stripe order: An organizing principle of cuprate superconductivity
• Composite charge order in the pseudogap region of the cuprates
• Kerr effect as evidence of gyrotropic order in the cuprates - revisited
• Charge-Density-Wave and Superconductor Competition in Stripe Phases of High Temperature Superconductors
• Phase transitions in superconductor liquid crystals
• Evidence of a critical hole concentration in underdoped YBa${}_2$Cu${}_3$O${}_y$ single crystals revealed by ${}^{63}$Cu NMR
• Bulk charge stripe order competing with superconductivity in La2-xSrxCuO4 (x=0.12)
• Nernst Effect of stripe ordering La${}_{1.8-x}$Eu${}_{0.2}$Sr${}_x$CuO${}_4$
• Breakdown of the universal Josephson relation in spin ordered cuprate superconductors
• Intimate relations between electronic nematic, d-density wave and d-wave superconducting states

Cited by in corpus (423)

• Cascade of correlated electron states in a kagome superconductor CsV3Sb5
• Controlling many-body states by the electric-field effect in a two-dimensional material
• The Hubbard model: A computational perspective
• Observation of Unconventional Charge Density Wave without Acoustic Phonon Anomaly in Kagome Superconductors AV3Sb5 (A=Rb,Cs)
• Nonlinear light-matter interaction at terahertz frequencies
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Tunable-range, photon-mediated atomic interactions in multimode cavity QED
• Twofold symmetry of $c$-axis resistivity in topological kagome superconductor CsV${}_3$Sb${}_5$ with in-plane rotating magnetic field
• Quantum states and intertwining phases in kagome materials
• Ambient-pressure superconductivity onset above 40 K in bilayer nickelate ultrathin films
• Charge-order-assisted topological surface states and flat bands in the kagome superconductor CsV${}_3$Sb${}_5$
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Charge density waves in infinite-layer NdNiO${}_2$ nickelates
• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• A Microscopic Perspective on Moiré Materials
• Detection of a Pair Density Wave State in UTe${}_2$
• Universal scaling of the critical temperature and the strange-metal scattering rate in unconventional superconductors
• Electron-phonon coupling in the charge density wave state of CsV${}_3$Sb${}_5$
• Ideal charge density wave order in the high-field state of superconducting YBCO
• Spontaneous Formation of Altermagnetism from Orbital Ordering
• Competition between charge-density-wave and superconductivity in the kagome metal RbV3Sb5
• High Resolution Polar Kerr Effect Studies of CsV${}_3$Sb${}_5$: Tests for Time Reversal Symmetry Breaking Below the Charge Order Transition
• Discovery of a pair density wave state in a monolayer high-Tc iron-based superconductor
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Imaging inter-valley coherent order in magic-angle twisted trilayer graphene
• Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates
• Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
• Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
• Cuprate superconductors as viewed through a striped lens
• Conjoined Charge Density Waves in the Kagome Superconductor CsV3Sb5
• Spatial symmetry constraint of charge-ordered kagome superconductor CsV${}_3$Sb${}_5$
• Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
• Magnetic-field sensitive charge density wave orders in the superconducting phase of UTe2
• Elastocaloric determination of the phase diagram of Sr${}_2$RuO${}_4$
• Superconductivity in nickel based 112 systems
• Pressure-enhanced splitting of density wave transitions in La${}_3$Ni${}_2$O${}_{7-\delta }$
• Relationship between the parent charge transfer gap and maximum transition temperature in cuprates
• Intertwined order and holography: the case of the parity breaking pair density wave
• Charge order at high temperature in cuprate superconductors
• Stripe order enhanced superconductivity in the Hubbard model
• Intertwined spin, charge and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit
• Angle-resolved photoemission spectroscopy of superconducting (La,Pr)3Ni2O7/SrLaAlO4 heterostructures
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Extended Bose-Hubbard model with dipolar excitons
• Strong Pairing Originated from an Emergent ${\mathbb{Z}}_2$ Berry Phase in La${}_3$Ni${}_2$O${}_7$
• Realizing Quantum Materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity
• Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
• Charge-4e and charge-6e flux quantization and higher charge superconductivity in kagome superconductor ring devices
• Incommensurate phonon anomaly and the nature of charge density waves in cuprates
• Optimizing superconductivity: from cuprates via nickelates to palladates
• Mechanism of Superconductivity in the Hubbard Model at Intermediate Interaction Strength
• Enhanced superconductivity by near-neighbor attraction in the doped Hubbard model
• Density-wave ordering in a unitary Fermi gas with photon-mediated interactions
• Generic character of charge and spin density waves in superconducting cuprates
• Charge and spin instabilities in superconducting La${}_3$Ni${}_2$O${}_7$
• Density-wave-like gap evolution in La${}_3$Ni${}_2$O${}_7$ under high pressure revealed by ultrafast optical spectroscopy
• Signature of quantum criticality in cuprates by charge density fluctuations
• Unconventional Optical Rotation in the Charge Ordered State of Kagome Metal CsV3Sb5
• Holographic Pair and Charge Density Waves
• Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
• Pair density wave order from electron repulsion
• Semiclassical dynamics of spin density waves
• Two distinct kinetic regimes for the relaxation of light-induced superconductivity in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
• Scale-invariant magnetic textures in the strongly correlated oxide NdNiO${}_3$
• Spin-excitation anisotropy in the nematic state of detwinned FeSe
• Ultrafast Dynamics of Bilayer and Trilayer Nickelate Superconductors
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Loop currents in quantum matter
• Multiple charge density waves and superconductivity nucleation at antiphase domain walls in the nematic pnictide Ba${}_{1-x}$Sr${}_x$Ni${}_2$As${}_2$
• Topological chiral and nematic superconductivity by doping Mott insulators on triangular lattice
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Differentiated roles of Lifshitz transition on thermodynamics and superconductivity in La2-xSrxCuO4
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Gapless spin liquid and pair density wave of the Hubbard model on three-leg triangular cylinders
• Rotational symmetry breaking in superconducting nickelate Nd0.8Sr0.2NiO2 films
• Role of electron-phonon coupling in excitonic insulator candidate Ta2NiSe5
• Superconducting stripes in the hole-doped three-band Hubbard model
• Effective SU(2) theory for the pseudogap state
• Pair Density Waves from Local Band Geometry
• Pairing Tendencies in a Two-orbital Hubbard Model in One Dimension
• Spatially Modulated Superfluid State in Two-Dimensional ${}^4$He Films
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• Striped electronic phases in an incommensurately modulated van der Waals superlattice
• Origin of the density wave instability in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$ revealed by optical and ultrafast spectroscopy
• Strongly-overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: Evidence for Josephson-coupled grains of strongly-correlated superconductor
• Quantum Simulation of Competing Orders with Fermions in Quantum Optical Lattices
• Doping quantum spin liquids on the Kagome lattice
• Identification of a Nematic Pair Density Wave State in Bi2Sr2CaCu2O8+x
• Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
• Pair density wave and loop current promoted by van Hove singularities in moiré systems
• Stripe correlations in the two-dimensional Hubbard-Holstein model
• Magic gap ratio for optimally robust fermionic condensation and its implications for high-Tc superconductivity
• Visualizing the melting of the charge density wave in UTe2 by generation of pairs of topological defects with opposite winding
• Quantum phase transition of correlated iron-based superconductivity in LiFe${}_{1-x}$Co${}_x$As
• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Pseudogap behavior in charge density wave kagome material ScV${}_6$Sn${}_6$ revealed by magnetotransport measurements
• Dimensionality crossover to 2D vestigial nematicity from 3D zigzag antiferromagnetism in an XY-type honeycomb van der Waals magnet
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Amperean superconductivity cannot be induced by deep subwavelength cavities in a two-dimensional material
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Time-resolved ARPES on cuprates: Tracking the low-energy electrodynamics in the time domain
• Spin-charge-lattice coupling across the charge density wave transition in a Kagome lattice antiferromagnet
• Quasi One Dimensional Pair Density Wave Superconducting State
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Pair Density Waves and Supercurrent Diode Effect in Altermagnets
• Scattering Interference Signature of a Pair Density Wave State in the Cuprate Pseudogap Phase
• Van-Hove annihilation and nematic instability on a Kagome lattice
• Pair density wave facilitated by Bloch quantum geometry in nearly flat band multiorbital superconductors
• Principles of 2D terahertz spectroscopy of collective excitations: the case of Josephson plasmons in layered superconductors
• Characterization of photoinduced normal state through charge density wave in superconducting YBa${}_2$Cu${}_3$O${}_{6.67}$
• Bogoliubov Quasiparticle on the Gossamer Fermi Surface in Electron-Doped Cuprates
• Fluctuating intertwined stripes in the strange metal regime of the Hubbard model
• Sublattice modulated superconductivity in the Kagome Hubbard model
• Intertwined and vestigial order with ultracold atoms in multiple cavity modes
• Kekulé spiral order at all nonzero integer fillings in twisted bilayer graphene
• Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
• Identification of a Critical Doping for Charge Order Phenomena in Bi-2212 Cuprates via RIXS
• Block orbital-selective Mott insulators: a spin excitation analysis
• A Snapshot Review -- Fluctuations in Quantum Materials: From Skyrmions to Superconductivity
• Emergent superconducting fluctuations in a compressed kagome superconductor
• Finite-momentum superconductivity in two-dimensional altermagnets with a Rashba-type spin-orbit coupling
• Anomalous phase separation dynamics in a correlated electron system: machine-learning enabled large-scale kinetic Monte Carlo simulations
• High Temperature Superconductivity in the Cuprates
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• Charge density wave and superconductivity competition in Lu${}_5$Ir${}_4$Si${}_{10}$ : a proton irradiation study
• Direct Observation of Collective Modes of the Charge Density Wave in the Kagome Metal CsV${}_3$Sb${}_5$
• Doping evolution of superconductivity, charge order and band topology in hole-doped topological kagome superconductors Cs(V${}_{1-x}$Ti${}_x$)${}_3$Sb${}_5$
• Large response of charge stripes to uniaxial stress in ${\text{La}}_{1.475}{\text{Nd}}_{0.4}{\text{Sr}}_{0.125}\text{Cu}{\text{O}}_4$
• Verwey transition as evolution from electronic nematicity to trimerons via electron-phonon coupling
• Charge Condensation and Lattice Coupling Drives Stripe Formation in Nickelates
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Quantum algorithms for scientific computing
• Intertwined spin-orbital coupled orders in the iron-based superconductors
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Anisotropic Spin Stripe Domains in Bilayer La${}_3$Ni${}_2$O${}_7$
• Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
• Superconductivity from charge order in cuprates
• Spin fluctuation anisotropy as a probe of orbital-selective hole-electron quasiparticle excitations in detwinned Ba(Fe1-xCox)2As2
• Strongly coupled charge, orbital and spin order in TbTe${}_3$
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Doping-dependence of the electron-phonon coupling in two families of bilayer superconducting cuprates
• Charge Order and Superconductivity as Competing Brothers in Cuprate High-$T_{\mathrm{c}}$ Superconductors
• Hydrodynamics of plastic deformations in electronic crystals
• Real-space pairing through a confined local nematic state in cuprate superconductors
• Testing for pair-density-wave order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Two Distinct Charge Density Wave Orders and Emergent Superconductivity in Pressurized CuTe
• Charge order driven by multiple-Q spin fluctuations in heavily electron-doped iron selenide superconductors
• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Antiferromagnetic fluctuations and a dominant $d_{xy}$-wave pairing symmetry in nickelate-based superconductors
• Phase Competition and Anomalous Thermal Evolution in High-Temperature Superconductors
• Nematicity in the superconducting mixed state of strain detwinned underdoped $\text{Ba}({\text{Fe}}_{1-x}{\text{Co}}_x{)}_2{\text{As}}_2$
• Checkerboard-type patterns of charge stripes in two-gap superconductor ZrB12
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Magnetism and spin dynamics of an S=3/2 frustrated trillium lattice antiferromagnet K2CrTi(PO4)3
• Spin-1/2 kagome Heisenberg antiferromagnet: Machine learning discovery of the spinon pair density wave ground state
• Competition between spin ordering and superconductivity near the pseudogap boundary in La2-xSrxCuO4: insights from NMR
• Tuning charge density wave order and structure via uniaxial stress in a stripe-ordered cuprate superconductor
• Gigantic-oxidative atomic-layer-by-layer epitaxy for artificially designed complex oxides
• Observation of electronic bound states in charge-ordered YBa${}_2$Cu${}_3$O${}_y$
• Investigation of the effective interactions for the Emery model by the constrained random-phase approximation and constrained functional renormalization group
• Observation of superconducting pair density modulation within lattice unit cell
• Vestigial singlet pairing in a fluctuating magnetic triplet superconductor: Applications to graphene moiré systems
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Uncovering the Hidden Ferroaxial Density Wave as the Origin of the Axial Higgs Mode in RTe${}_3$
• Dichotomy of heavy and light pairs of holes in the $t-J$ model
• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Multilayered cuprate superconductor Ba${}_2$Ca${}_5$Cu${}_6$O${}_{12}$(O${}_{1-x}$,F${}_x$)${}_2$ studied by temperature-dependent scanning tunneling microscopy and spectroscopy
• Exploring intertwined orders in cuprate superconductors
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Spin and charge density waves in the quasi-one-dimensional KMn6Bi5
• Bootstrapped Dimensional Crossover of a Spin Density Wave
• Designing the stripe-ordered cuprate phase diagram through uniaxial-stress
• Resolving the discrepancy between MOKE measurements at 1550-nm wavelength on Kagome Metal CsV3Sb5
• Inhomogeneous high temperature melting and decoupling of charge density waves in spin-triplet superconductor UTe2
• Enhancement of $d$-wave pairing in the striped phase with the nearest neighbour attraction
• Probing the pathway of an ultrafast structural phase transition to illuminate the transition mechanism in Cu2S
• Signatures of two gaps in the spin susceptibility of a cuprate superconductor
• Magnon heat transport in a two-dimensional Mott insulator
• Absence of in-gap modes in charge density wave edge dislocations of the Weyl semimetal (TaSe${}_4$)${}_2$I
• Structure of Charge Density Waves in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Comparative study of charge order in undoped infinite-layer nickelate superconductors
• Electronic character of charge order in square planar low valence nickelates
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Superconductivity from Doublon Condensation in the Ionic Hubbard Model
• Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ monolayer
• Effective pairing theory for strongly correlated d-wave superconductors
• Charge, bond, and pair density wave orders in a strongly correlated system
• Topological Superconductivity in a two-dimensional Weyl SSH model
• Interplay of spin and charge order in the electron-doped cuprates
• Effects of charge doping on Mott insulator with strong spin-orbit coupling, Ba${}_2$NaOsO${}_6$
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Intertwined states at finite temperatures in the Hubbard model
• Stripe versus superconductivity in the doped Hubbard model on the honeycomb lattice
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Unusual Hole-doping-dependent Electronic Instability and Electron-Phonon Coupling in Infinite-layer Nickelates
• Signatures of many-body localization of quasiparticles in a flat band superconductor
• Non-degenerate surface pair density wave in the Kagome superconductor CsV${}_3$Sb${}_5$ -- application to vestigial orders
• Topological Doping and Superconductivity in Cuprates: An Experimental Perspective
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Classification of electronic nematicity in three-dimensional crystals and quasicrystals
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Superconducting Dome in ${\mathrm{La}}_{3-x}{\mathrm{Sr}}_x{\mathrm{Ni}}_2{\mathrm{O}}_{7-\delta }$ Thin Films
• Vacancy-induced suppression of CDW order and its impact on magnetic order in kagome antiferromagnet FeGe
• Topologically enabled superconductivity
• Direct Visualization of a Static Incommensurate Antiferromagnetic Order by Suppressing the Superconducting Phase Coherence in Fe-doped Bi2Sr2CaCu2O8+delta
• Tunability of charge density wave in a magnetic kagome metal
• Mapping the phase diagram of a YBa${}_2$Cu${}_3$O${}_{7-\delta }$ nanowire through electromigration
• Atomic-scale tracking of topological defect motion and incommensurate charge order melting
• From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
• Feshbach hypothesis of high-Tc superconductivity in cuprates
• CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
• Nematic spin correlations pervading the phase diagram of FeSe${}_{1-x}$S${}_x$
• Nonsymmorphic Dirac semimetal and carrier dynamics in doped spin-orbit-coupled Mott insulator Sr${}_2$IrO${}_4$
• Elementary excitation in the spin-stripe phase in quantum chains
• Towards a Comprehensive Theory of Metal-Insulator Transitions in Doped Semiconductors
• Discovery of Orbital Ordering in Bi2Sr2CaCu2O8+x
• Electro-nuclear transition into a spatially modulated magnetic state in YbRh${}_2$Si${}_2$
• Evidence for Quantum Stripe Ordering in a Triangular Optical Lattice
• Effective one-band models for the 1D cuprate Ba${}_{2-x}$Sr${}_x$CuO${}_{3+\delta }$
• $d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\kappa$-(BEDT-TTF)${}_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis
• Cooper quartets in interacting hybrid superconducting systems
• Magnetism in AV3Sb5 (Cs, Rb, K): Origin and Consequences for the Strongly Correlated Phases
• Conventional Superconductivity in the Doped Kagome Superconductor Cs(V0.86Ta0.14)3Sb5 from Vortex Lattice Studies
• Strain-induced long-range charge-density wave order in the optimally doped Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_6$ superconductor
• Disorder in interacting quasi-one-dimensional systems: flat and dispersive bands
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
• Fragmented superconductivity in the Hubbard model as solitons in Ginzburg-Landau theory
• Colossal transverse magnetoresistance due to nematic superconducting phase fluctuations in a copper oxide
• Electrical and thermal transport properties of kagome metals AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Absence of a bulk charge density wave signature in x-ray measurements of UTe${}_2$
• Robust d-wave superconductivity from the Su-Schrieffer-Heeger-Hubbard model: possible route to high-temperature superconductivity
• Violation of the orbital depairing limit in a non-unitary state --on the high field phase in the heavy Fermion superconductor UTe${}_2$--
• Highly-Anisotropic Even-Denominator Fractional Quantum Hall State in an Orbitally-Coupled Half-Filled Landau Level
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
• Quasiparticle interference of heavy fermions in resonant X-ray scattering
• Real-space Visualization of Charge Density Wave Induced Local Inversion-Symmetry Breaking in a Skyrmion Magnet
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Charge ordering mechanism in silver fluoride AgF${}_2$
• Theoretical Exploration of Phase Transitions in a Cavity-BEC System with Two Crossed Optical Pumps
• Real-space Observation of Unidirectional Charge Density Wave and Complex Structural Modulation in the Pnictide Superconductor Ba${}_{1-x}$Sr${}_x$Ni${}_2$As${}_2$
• Quantum fluctuations of charge order induce phonon softening in a superconducting cuprate
• Test for BCS-BEC Crossover in the Cuprate Superconductors
• Tendencies of enhanced electronic nematicity in the Hubbard model and a comparison with Raman scattering on high-temperature superconductors
• Intertwined charge, spin, and pairing orders in doped iron ladders
• Anisotropic evolution of energy gap in Bi2212 superconductor
• Intertwined Orders and the Physics of High Temperature Superconductors
• Overdamped antiferromagnetic strange metal state in Sr${}_3$IrRuO${}_7$
• Charge Stripe Manipulation of Superconducting Pairing Symmetry Transition
• Random-strain-induced correlations in materials with intertwined nematic and magnetic orders
• Evolution of lattice, spin, and charge properties across the phase diagram of FeSe${}_{1-x}$S${}_x$
• Theoretical studies on off-axis phase diagrams and Knight shifts in UTe${}_2$ -- Tetra-critical point, d-vector rotation, and multiple phases
• Tuning of Charge Order by Uniaxial Stress in a Cuprate Superconductor
• Bi- and tetracritical phase diagrams in three dimensions
• $\pi$-Phase shift across stripes in a charge density wave system
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates
• Quantum oscillations from a pair-density wave
• Probing hidden Mott gap and incommensurate charge modulation on the polar surfaces of PdCrO${}_2$
• Scattering theory of mesons in doped antiferromagnetic Mott insulators: Multichannel perspective and Feshbach resonance
• Crossover from Fermi Arc to Full Fermi Surface
• Observation and manipulation of a phase separated state in a charge density wave material
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Boosting quantum Monte Carlo and alleviating sign problem by Gutzwiller projection
• Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the $d$-wave superconductors
• Origin of gap-like behaviors in URu${}_2$Si${}_2$: Combined study via quasiparticle scattering spectroscopy and resistivity measurements
• Fluctuating charge-density-wave correlations in the three-band Hubbard model
• Entanglement Hamiltonian of Interacting Systems: Local Temperature Approximation and Beyond
• Fulde-Ferrell-Larkin-Ovchinnikov state in strongly correlated d-wave superconductors
• Staging superstructures in high-$T_c$ Sr/O co-doped La${}_{2-x}$Sr${}_x$CuO${}_{4+y}$
• Charge Order and Fluctuations in Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$ Revealed by ${}^{63,65}$Cu-Nuclear Magnetic Resonance
• Evolution of magnetic stripes under uniaxial stress in La${}_{1.885}$Ba${}_{0.115}$CuO${}_4$ studied by neutron scattering
• Andreev reflection in normal metal/charge-4e superconductor junctions
• Three-dimensional bond-order instability in infinite-layer nickelates due to nonlocal quantum interference
• Local condensation of charge-$4e$ superconductivity at a nematic domain wall
• Quantum critical fluctuations in an Fe-based superconductor
• Probing three-state Potts nematic fluctuations by ultrasound attenuation
• A Broken Translational Symmetry State in an Infinite-Layer Nickelate
• Interplay of superconductivity and charge-density-wave order in kagome materials
• Imaging half-unit-cell Cooper-pair density waves in monolayer 1T${}^{\prime }$-MoTe${}_2$
• Single-Particle Dispersion and Density of States of the Half-Filled 2D Hubbard Model
• Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
• Lattice-charge coupling in a trilayer nickelate with intertwined density wave order
• Ground-state properties via machine learning quantum constraints
• Interrelations among critical current density, irreversibility field and pseudogap in hole doped high-Tc cuprates
• Theories for charge-driven nematicity in kagome metals
• Second Dome of Superconductivity in YBa${}_2$Cu${}_3$O${}_7$ at High Pressure
• Orbitally Selective Resonant Photodoping to Enhance Superconductivity
• Evidence that cuprate superconductors form an array of nanoscopic Josephson junctions
• The extended Hubbard model on a honeycomb lattice
• Exact hole-induced $SU(N)$ flavor-singlets in certain $U=\infty$ $SU(N)$ Hubbard models
• Orbital Rotations induced by Charges of Polarons and Defects in Doped Vanadates
• Incommensurate Transverse Peierls Transition
• Coincident onset of charge order and pseudogap in a homogeneous high-temperature superconductor
• Intertwined Magnetism and Superconductivity in Isolated Correlated Flat Bands
• Confinement-Induced Enhancement of Superconductivity in a Spin-$\frac{1}{2}$ Fermion Chain Coupled to a ${\mathbb{Z}}_2$ Lattice Gauge Field
• Strong electron-phonon coupling in Ba${}_{1-x}$Sr${}_x$Ni${}_2$As${}_2$
• Fractionalized Fermi liquids and the cuprate phase diagram
• Metastability in Coexisting Competing Orders
• Discovery of an Intermediate Nematic State in a Bilayer Kagome Metal ScV6Sn6
• Microscopic theory of pair density waves in spin-orbit coupled Kondo lattice
• Real-space observation of charge ordering in epitaxial La2-xSrxCuO4 films
• A Theoretical Study of Doping Evolution of Phonons in High-Temperature Cuprate Superconductors
• Phaseless quantum Monte-Carlo approach to strongly correlated superconductors with stochastic Hartree-Fock-Bogoliubov wavefunctions
• Gapless spin excitations in superconducting La${}_{2-x}$Ca${}_{1+x}$Cu${}_2$O${}_6$ with $T_c$ up to 55 K
• Revisiting the ${}^{63}$Cu NMR signature of charge order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• $C_3$ symmetry breaking metal-insulator transitions in a flat band in the half-filled Hubbard model on the decorated honeycomb lattice
• Higher order topological state induced by $d$-wave competing orders in high-T${}_c$ superconductor based heterostructure
• A Ginzburg-Landau approach to the vortex-domain wall interaction in superconductors with nematic order
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Antiferromagnetic and bond-order-wave phases in the half-filled two-dimensional optical Su-Schrieffer-Heeger-Hubbard model
• Anisotropic moiré band flattening in twisted bilayers of M-valley MXenes
• Charge density waves and pinning by lattice anisotropy in 214 cuprates
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Persistence of small polarons into the superconducting phase of Ba${}_{1-x}$K${}_x$BiO${}_3$
• Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model
• Electronic structure of topological defects in the pair density wave superconductor
• Vortex phase diagram of kagome superconductor CsV${}_3$Sb${}_5$
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Spin loop-current textures in Hubbard models
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
• Landau-Ginzburg theory of charge density wave formation accompanying lattice and electronic long-range ordering
• Optically-induced Umklapp shift currents in striped cuprates
• Nematic single-component superconductivity and loop-current order from pair-density wave instability
• Tilted stripes origin in ${\mathrm{La}}_{1.88}{\mathrm{Sr}}_{0.12}{\mathrm{CuO}}_4$ revealed by anisotropic next-nearest neighbor hopping
• Extracting the spin excitation spectrum of a fermionic system using a quantum processor
• Single-shot quantum measurements sketch quantum many-body states
• Finite temperature dopant-induced spin reorganization explored via tensor networks in the two-dimensional $t$-$J$ model
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Pressure-induced enhancement of the superconducting transition temperature in La2O2Bi3AgS6
• A $d=3$ dimensional model with two $U(1)$ gauge fields coupled via matter fields and BF interaction
• Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors
• Pseudogap phase and fractionalization: Predictions for Josephson junction setup
• A Group-Equivariant Autoencoder for Identifying Spontaneously Broken Symmetries
• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
• Impact of disorder in the charge-density-wave state of Pd-intercalated ErTe${}_3$ revealed by the electrodynamic response
• Competing phases and intertwined orders in coupled wires near the self-dual point
• Nanoscale strain manipulation of smectic susceptibility in kagome superconductors
• Resistive anisotropy in the charge density wave phase of Kagome superconductor CsV3Sb5 thin films
• Origin of the charge density wave state in BaFe${}_2$Al${}_9$
• Optical Properties of Superconducting K${}_{0.8}$Fe${}_{1.7}$(Se${}_{0.73}$S${}_{0.27}$)${}_2$ Single Crystals
• Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene
• Charge-Density-Wave State in Extremely Overdoped Cuprates Driven by Phonons
• Interaction-induced phases in the half-filled Bernevig-Hughes-Zhang model in one dimension
• Phase Diagram of Mixed-Dimensional Anisotropic t-J-Models
• Nonthermal order by disorder
• Quantum colored strings in the hole-doped $t$-$J_z$ model
• Phase-sensitive evidence for pair density waves in a kagome superconductor
• Raman Response of the Charge Density Wave in Cuprate Superconductors
• An Exactly Solvable Model of Randomly Pinned Charge Density Waves in Two Dimensions
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Cluster dynamical mean field study of intra-unit-cell charge nematicity in hole-doped cuprates
• Charge modulation in the background of depleted superconductivity inside vortices
• Competing pair density wave orders in the square lattice $t$-$J$ model
• Intertwined order of generalized global symmetries
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Emergent Pair Density Wave Order Across a Lifshitz Transition
• Contrasting $c$-axis and in-plane uniaxial stress effects on superconductivity and stripe order in La${}_{1.885}$Ba${}_{0.115}$CuO${}_4$
• Theory of Linear Magnetoresistance in a Strange Metal
• Revisiting vestigial order in nematic superconductors: gauge-field mechanisms and model constraints
• Gor'kov-Hedin-Baym Equations for Quantum Many-Body Systems with Spin-Dependent Interactions
• Tunable Competing Electronic Orders in Double Quantum Spin Hall Superlattices
• Compatible Instability: Gauge Constraints of Elasticity Inherited by Electronic Nematic Criticality
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
• Yamaji effect in models of underdoped cuprates
• Introduction to High-Temperature Superconductivity for Solid State Chemists
• High field charge order across the phase diagram of $YB{a}_{2}C{u}_3{O}_y$
• Bimagnon dispersion of La2CuO4 probed by resonant inelastic X-ray scattering
• La${}_{2-x}$Ba${}_x$CuO${}_4$ as a superconducting Rosetta Stone
• The magnetic field driven superconductor-metal transition in disordered hole-overdoped cuprates
• Terahertz pulse-driven collective mode in the nematic superconducting state of Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Charge order dynamics in underdoped La${}_{1.6-\text{x}}$Nd${}_{0.4}$Sr${}_{\text{x}}$CuO${}_4$ revealed by electric pulses
• Development of spin fluctuations under the presence of $d$-wave bond order in cuprate superconductors
• Nontrivial Ground State Degeneracy of the Spin-Pseudospin Model of a Two-Dimensional Magnet Near the Frustration Point
• Oxygen hole content, charge-transfer gap, covalency, and cuprate superconductivity
• Atomic-Scale Visualization of the Cuprate Pair Density Wave State
• Charge Density Waves beyond the Pauli paramagnetic limit in 2D systems
• Critical current density of hole doped high-Tc cuprates and heavy fermion superconductors: relevance to the possible quantum critical behavior
• $d_{x^2-y^2}$-wave density wave and $d_{x^2-y^2}$-wave superconducting gap on the extended Hubbard model on a square lattice
• Empirical case for two pseudogaps in cuprate superconductors
• Orbital-selective time-domain signature of nematicity dynamics in the charge-density-wave phase of La${}_{1.65}$Eu${}_{0.2}$Sr${}_{0.15}$CuO${}_4$
• Magnetic field tuned superconducting and normal phase magnetism in CeCo${}_{0.5}$Rh${}_{0.5}$In${}_5$
• Phase-sensitive non-reciprocal transport in high-temperature superconductor
• Predicting parameters of a model cuprate superconductor using machine learning
• On the Novel Superfluidity in the Second Layer of ${}^4$He on Graphite
• Evolution from three-dimensional charge density wave to one-dimensional stripe order in CsV${}_{3-x}$Ti${}_x$Sb${}_5$
• Coexistence of stripe order and superconductivity in NaAlSi
• Universal limiting transition temperature for the high $T_{\mathrm{c}}$ superconductors
• Evidence of intertwined pair density and charge density wave orders in UTe2
• Superconducting States and Intertwined Orders in Metallic Altermagnets
• Reaching Quantum Critical Point by Adding Non-magnetic Disorder in Single Crystals of Superconductor $({\text{Ca}}_x{\text{Sr}}_{1-x}{)}_3{\text{Rh}}_4{\text{Sn}}_{13}$
• What controls the superconducting dome of electron-doped FeSe?
• Strain-Tuned Nodal Superconductivity in the Charge-Ordered Kagome Metal CsV${}_3$Sb${}_5$
• Estimation of Cooper pair density and its relation to the critical current density in hole doped high-Tc cuprate superconductors
• Topological pair density waves in kagome superconductors
• Corner Flat Bands Induced by $d$-Density Wave and Partial Corner State Modification Due to Competition with $d$-Wave Superconductivity
• Spin-triplet pair density wave superconductors
• Itinerant magnetism in Hubbard models with long-range interactions
• Interplay of Quantum and Thermal Fluctuations in Two-Dimensional Randomly Pinned Charge Density Waves
• Fermion quartets on the square lattice
• Transient selection of competing order in frustrated spin Peierls systems after a quench
• Resonant X-Ray Scattering Investigations of Charge Density Wave and Nematic Orders in Cuprate Superconductors
• Electromagnetic response of cuprate superconductors with coexisting electronic nematicity
• Engineering underdoped CuO${}_2$ nanoribbons in nm-thick $a$-axis YBa${}_2$Cu${}_3$O${}_{7-\delta }$ films
• Quantum matter in ultrahigh magnetic fields
• Multimagnon and multispinon $L_3$-edge RIXS spectra of an effective ${\tilde{J}}_1-{\tilde{J}}_2-{\tilde{J}}_3$ square lattice Heisenberg model
• Tunable intertwining via collective excitations
• Pseudogap in electron-doped cuprates: thermal precursor to magnetism
• Insulating and metallic phases in the one-dimensional Hubbard-Su-Schrieffer-Heeger model: Insights from a backflow-inspired variational wave function
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• Superfluid dome in the spatially modulated two-dimensional XY model
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity
• Enhanced charge density wave with mobile superconducting vortices in La${}_{1.885}$Sr${}_{0.115}$CuO${}_4$
• Theory of Hofstadter Superconductors
• Spinon Singlet Pairing: Origin of $d$-Wave Sign Structure in a Partially-Filled Stripe
• Strange metal and Fermi arcs from disordering spin stripes
• Observation of Subharmonic Charge-Density-Wave Correlations in La-Based Cuprates
• Superconductivity near an Ising nematic quantum critical point in two dimensions
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation
• Pairing phase diagram for electron-doped cuprates in the square-lattice $t-U-V$ Hubbard model
• A first-principles-based study of the thermodynamics of competing low-energy states in correlated materials: Example of cuprates
• Pair density wave solution for a self-consistent model
• Toward nonthermal control of excited quantum materials: framework and investigations by ultrafast electron scattering and imaging
• Emergence of Fermi-liquid and BCS physics in overdoped cuprates
• Exact analysis of the interplay of charge order and unconventional pairings in the 2D Hatsugai-Kohmoto model