Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review

Abstract

The physics of the pseudo-gap phase of high temperature cuprate superconductors has been an enduring mystery in the past thirty years. The ubiquitous presence of the pseudo-gap phase in under-doped cuprates suggests that its understanding holds a key in unraveling the origin of high temperature superconductivity. In this paper, we review various theoretical approaches to this problem, with a special emphasis on the concept of emergent symmetries in the under-doped region of those compounds. We differentiate the theories by considering a few fundamental questions related to the rich phenomenology of these materials. Lastly we discuss a recent idea of two kinds of entangled preformed pairs which open a gap at the pseudo-gap onset temperature $T^{\ast }$ through a specific Higgs mechanism. We give a review of the experimental consequences of this line of thoughts.

arXiv commentTo be published in Annual Review of Condensed Matter Physics

References in corpus (119)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Hidden Order in the Cuprates
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Theory of Intertwined Orders in High Temperature Superconductors
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Inelastic Light Scattering From Correlated Electrons
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Defects in correlated metals and superconductors
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Change of carrier density at the pseudogap critical point of a cuprate superconductor
• Optically enhanced coherent transport in YBa2Cu3O6.5 by ultrafast redistribution of interlayer coupling
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Three-Dimensional Charge Density Wave Order in YBa2Cu3O6.67 at High Magnetic Fields
• A Phenomenological Theory of The Pseudogap State
• Spins in the Vortices of a High Temperature Superconductor
• Electronic Spectra and Their Relation to the (pi,pi) Collective Mode in High-Tc Superconductors
• Phenomenology of Photoemission Lineshapes of High Tc Superconductors
• The effect of collective spin-1 excitations on electronic spectra in high-Tc superconductors
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Superconducting Vortex with Antiferromagnetic Core
• Diamagnetism and Cooper pairing above $T_c$ in cuprates
• Phenomenological Models for the Gap Anisotropy of Bi-2212 as Measured by ARPES
• SO(5) Theory of Antiferromagnetism and Superconductivity
• The Unusual Superconducting State of Underdoped Cuprates
• Universal scaling relation in high-temperature superconductors
• Pseudogap state from quantum criticality
• The Electronic Nature of High Temperature Cuprate Superconductors
• Projected Wavefunctions and High Temperature Superconductivity
• Emergence of charge order from the vortex state of a high temperature superconductor
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• In-plane anisotropy of spin excitations in the normal and superconducting states of underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Thermodynamic phase diagram of static charge order in underdoped YBCO
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• Momentum-dependent charge correlations in YBa${}_2$Cu${}_3$O${}_{6+\delta }$ superconductors probed by resonant x-ray scattering: Evidence for three competing phases
• The neutron resonance: modeling photoemission and tunneling data in the superconducting state of Bi_2Sr_2CaCu_2O_{8+d}
• Theory of the Resonant Neutron Scattering of High $T_c$ Superconductors
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Fermi-surface reconstruction by stripe order in cuprate superconductors
• Magnetic field controlled charge density wave coupling in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Universal quantum oscillations in the underdoped cuprate superconductors
• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Modeling the Fermi arc in underdoped cuprates
• Fractionalization in the cuprates: Detecting the topological order
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Nernst and Seebeck Coefficients of the Cuprate SuperconductorYBa${}_2$Cu${}_3$O${}_{6.67}$: A Study of Fermi Surface Reconstruction
• Anomalous density fluctuations in a strange metal
• Atomic-scale Electronic Structure of the Cuprate d-Symmetry Form Factor Density Wave State
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• ARPES studies of cuprate Fermiology: superconductivity, pseudogap, and quasiparticle dynamics
• Angular fluctuations of a multi-component order describe the pseudogap regime of the cuprate superconductors
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Gap and pseudogap evolution within the charge-ordering scenario for superconducting cuprates
• Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
• Ideal charge density wave order in the high-field state of superconducting YBCO
• Doping-dependent nodal Fermi velocity in Bi-2212 revealed by high-resolution ARPES
• High Field Studies of Superconducting Fluctuations in High-T_c Cuprates: Evidence for a Small Gap distinct from the Large Pseudogap
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Intimate link between Charge Density Wave, Pseudogap and Superconducting Energy Scales in Cuprates
• Pair density wave, charge density wave and vortex in high Tc cuprates
• Locating the missing superconducting electrons in overdoped cuprates
• Kosterlitz-Thouless behavior in layered superconductors: the role of the vortex-core energy
• Gauge theory for the cuprates near optimal doping
• Probing optically silent superfluid stripes in cuprates
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Competing Order in the Mixed State of High Temperature Superconductors
• Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)
• Evidence for hidden fermion that triggers high-temperature superconductivity in cuprates
• Vortex Structure in Underdoped Cuprates
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Pair Density Waves in Superconducting Vortex Halos
• A synthesis of the phenomenology of the underdoped cuprates
• Universal Tc depression by irradiation defects in underdoped and overdoped cuprates
• Hall effect and Fermi surface reconstruction via electron pockets in the high-$T_c$ cuprates
• Competition of Superconductivity and Antiferromagnetism in a d-Wave Vortex Lattice
• Emergent loop current order from pair density wave superconductivity
• Effect of magnetic field on competition between superconductivity and charge order below the pseudogap state
• Unusual interplay between superconductivity and field-induced charge order in YBa2Cu3Oy
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• A Two Energy Gap Preformed-Pair Scenario For the Cuprates: Implications for Angle-Resolved Photoemission Spectroscopy
• Vertical temperature-boundary of the pseudogap under the superconducting dome of the Bi2Sr2CaCu2O8+d phase-diagram
• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• Charge orders, magnetism and pairings in the cuprate superconductors
• Effective SU(2) theory for the pseudogap state
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Unusual Nernst effect suggestive of time-reversal violation in the striped cuprate La${}_{2-x}$Ba${}_x$CuO${}_4$
• Resonance mode in $B_{1g}$ Raman scattering -- a way to distinguish between spin-fluctuation and phonon-mediated $d-$wave superconductivity
• Is charge order induced near an antiferromagnetic quantum critical point?
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• Vortices and charge order in high-T_c superconductors
• Phenomenological Ginzburg-Landau-like theory for superconductivity in the cuprates
• Direct Connection between Mott Insulator and d-Wave High-Temperature Superconductor Revealed by Continuous Evolution of Self-Energy Poles
• Pairing Fluctuations Determine Low Energy Electronic Spectra in Cuprate Superconductors
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Cuprate diamagnetism in the presence of a pseudogap: Beyond the standard fluctuation formalism
• Effective action for strongly correlated electron systems
• The phase diagram of the underdoped cuprates at high magnetic field
• Angle Resolved Photo-Emission Spectroscopy signature of the Resonant Excitonic State
• Phase fluctuations versus Gaussian fluctuations in optimally-doped YBa${}_2$Cu${}_3$O${}_7$
• Local particle-hole pair excitations by SU(2) symmetry fluctuations
• Collective mode in the SU(2) theory of cuprates
• Transverse thermoelectric transport in a model of many competing order parameters
• A model for the neutron resonance in HgBa${}_2$CuO${}_{4+\delta }$
• Exact correlation functions in the cuprate pseudogap phase: combined effects of charge order and pairing
• Electron Self-Energy of High Temperature Superconductors as Revealed by Angle Resolved Photoemission
• Fermi Surface Reconstruction in Underdoped Cuprates: The Origin of Electron Pockets

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• Anomalous softening of phonon-dispersion in cuprate superconductors
• Charge-density wave fluctuation driven composite order in the layered Kagome Metals
• A Theoretical Study of Doping Evolution of Phonons in High-Temperature Cuprate Superconductors
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