Multistage Electronic Nematic Transitions in Cuprate Superconductors: Functional-Renormalization-Group Analysis

Abstract

Recently, complex phase transitions accompanied by the rotational symmetry breaking have been discovered experimentally in cuprate superconductors. To find the realized order parameters, we study various charge susceptibilities in an unbiased way, by applying the functional-renormalization-group method to the realistic $d$-$p$ Hubbard model. Without assuming the wavevector of the order parameter, we reveal that the most dominant instability is the uniform ($q=0$) charge modulation on the $p_x$ and $p_y$ orbitals, which possesses the d-symmetry. This uniform nematic order triggers another nematic p-orbital density wave along the axial (Cu-Cu) direction at $Q_a=(\pi /2,0)$. It is predicted that uniform nematic order is driven by the spin fluctuations in the pseudogap region, and another nematic density-wave order at $q=Q_a$ is triggered by the uniform order. The predicted multistage nematic transitions are caused by the Aslamazov-Larkin-type fluctuation-exchange processes.

arXiv comment10 pages, 10 figures

References in corpus (41)

• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Theory of Intertwined Orders in High Temperature Superconductors
• Functional renormalization group approach to correlated fermion systems
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Resonant x-ray scattering studies of charge order in cuprates
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Pseudogap state from quantum criticality
• Pseudogap induced by short-range spin correlations in a doped Mott insulator
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• Self-Consistent Vertex Correction Analysis for Iron-Based Superconductors: Mechanism of Coulomb-Interaction-Driven Orbital Fluctuations
• Bond order in two-dimensional metals with antiferromagnetic exchange interactions
• Concepts relating magnetic interactions, intertwined electronic orders and strongly correlated superconductivity
• Bounding the pseudogap with a line of phase transitions in YBCO cuprate superconductors
• 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
• Sign-reversing orbital polarization in the nematic phase of FeSe due to the $C_2$ symmetry-breaking in the self-energy
• Spin-Fluctuation-Driven Nematic Charge-Density-Wave in Cuprate Superconductors: Impact of Aslamazov-Larkin-Type Vertex Correction
• Spatially Modulated Electronic Nematicity in the Three-Band Model of Cuprate Superconductors
• Spin Triplet Superconductivity in Sr2RuO4 due to Orbital and Spin Fluctuations: Analysis by Two-Dimensional Renormalization Group Theory
• Spin-triplet superconductivity in Sr2RuO4 due to orbital and spin fluctuations: Analyses by two-dimensional renormalization group theory and self-consistent vertex-correction method
• Charge-fluctuation contribution to the Raman response in superconducting cuprates
• Importance of d-p Coulomb interaction for high T${}_C$ cuprates and other oxides
• Linear Response Theory for Shear Modulus $C_{66}$ and Raman Quadrupole Susceptibility: Significant Evidence for Orbital Nematic Fluctuations in Fe-Based Superconductors
• Incommensurate nematic fluctuations in the two-dimensional Hubbard model
• Orbital Nematic Instability in Two-Orbital Hubbard Model: Renormalization-Group + Constrained RPA Analysis
• Charge instabilities at the metamagnetic transition
• $p$-orbital density wave with $d$ symmetry in high-$T_c$ cuprate superconductors predicted by the renormalization-group + constrained RPA theory
• Competing Unconventional Charge-Density-Wave States in Cuprate Superconductors: Spin-Fluctuation-Driven Mechanism
• Functional renormalization group study of orbital fluctuation mediated superconductivity: Impact of the electron-boson coupling vertex corrections
• A strong coupling critique of spin fluctuation driven charge order in underdoped cuprates
• Coexistence of strong nematic and superconducting correlations in a two-dimensional Hubbard model
• Interplay of Pomeranchuk instability and superconductivity in the two-dimensional repulsive Hubbard model
• Spin-Fluctuation-Driven Orbital Nematic Order in Ru-Oxides: Self-Consistent Vertex Correction Analysis for Two-Orbital Model
• Understanding High-Temperature Superconductors with Quantum Cluster Theories

Cited by in corpus (35)

• Mechanism of exotic density-wave and beyond-Migdal unconventional superconductivity in kagome metal AV3Sb5 (A=K, Rb, Cs)
• Charge-loop current order and Z3 nematicity mediated by bond-order fluctuations in kagome metal AV3Sb5 (A=Cs,Rb,K)
• Origin of diverse nematic orders in Fe-based superconductors: 45${}^{\circ }$ rotated nematicity in AFe${}_2$As${}_2$ (A=Cs, Rb)
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• A Rigorous Formalism of Unconventional Symmetry Breaking in Fermi Liquid Theory and Its Application to Nematicity in FeSe
• Drastic magnetic-field-induced chiral current order and emergent current-bond-field interplay in kagome metals
• $SU(4)$ Valley + Spin Fluctuation Interference Mechanism for Nematic Order in Magic Angle Twisted Bilayer Graphene: Impact of Vertex Corrections
• Is charge order induced near an antiferromagnetic quantum critical point?
• Multipole fluctuation theory for heavy fermion systems: Application to multipole orders in CeB6
• Odd-parity spin-loop-current order mediated by transverse spin fluctuations in cuprates and related electron systems
• Emergence of Charge Loop Current in Geometrically Frustrated Hubbard Model: Functional Renormalization Group Study
• Hidden antiferro-nematic order in Fe-based superconductor BaFe${}_2$As${}_2$ and NaFeAs above $T_S$
• Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-$T_c$ cuprates
• Unified description of cuprate superconductors using four-band $d$-$p$ model
• Thermodynamic electric quadrupole moments of nematic phases from first-principles calculation
• Microscopic evidence for the intra-unit-cell electronic nematicity inside the pseudogap phase in YBa${}_2$Cu${}_4$O${}_8$
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Discovery of Orbital Ordering in Bi2Sr2CaCu2O8+x
• Real-space Loop Current Pattern in Time-reversal-symmetry Breaking Phase in Kagome Metals
• $d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\kappa$-(BEDT-TTF)${}_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis
• Quantum-metric-induced giant and reversible nonreciprocal transport phenomena in chiral loop-current phases of kagome metals
• Superconductivity and intra-unit-cell electronic nematic phase in the three-band model of cuprates
• Prediction of pseudogap formation due to $d$-wave bond-order in organic superconductor $\kappa$-(BEDT-TTF)${}_2$X
• Low temperature phase transitions under CDW state in kagome metals AV3Sb5 (A=Cs,Rb,K): Significance of mix-type Fermi surface electron correlations
• Monte Carlo study of cuprate superconductors in a four-band $d$-$p$ model: Role of orbital degrees of freedom
• Three-dimensional bond-order instability in infinite-layer nickelates due to nonlocal quantum interference
• Unconventional orbital-charge density wave mechanism in transition metal dichalcogenide 1T-TaS2
• Diverse Exotic Orders and Fermiology in Fe-based Superconductors: A Unified Mechanism for $B_{1g}/B_{2g}$ Nematicity in FeSe/(Cs,Rb)Fe${}_2$As${}_2$ and Smectic Order in BaFe${}_2$As${}_2$
• Unified mechanism of charge-density-wave and high-$T_c$ superconductivity protected from oxygen vacancies in bilayer nickelates
• Odd-parity quadrupole order and induced nonreciprocal transport in the kagome metal CsTi${}_3$Bi${}_5$ driven by quantum interference
• Robust $T$-Linear Resistivity due to SU(4) Valley + Spin Fluctuation Mechanism in Magic Angle Twisted Bilayer Graphene
• Cluster dynamical mean field study of intra-unit-cell charge nematicity in hole-doped cuprates
• Development of spin fluctuations under the presence of $d$-wave bond order in cuprate superconductors
• Superconductivity and the quasiparticle mass enhancement near the CDW critical point using Bethe-Salpeter method: Application to cuprates
• Microscopic origin of period-four stripe charge-density-wave in kagome metal CsV${}_3$Sb${}_5$