Spatially Modulated Electronic Nematicity in the Three-Band Model of Cuprate Superconductors

Abstract

Charge order in cuprate superconductors is a possible source of anomalous electronic properties in the underdoped regime. Intra-unit cell charge ordering tendencies point to electronic nematic order involving oxygen orbitals. In this context we investigate charge instabilities in the Emery model and calculate the charge susceptibility within diagrammatic perturbation theory. In this approach, the onset of charge order is signalled by a divergence of the susceptibility. Our calculations reveal three different kinds of order: a commensurate ($q=0$) nematic order, and two incommensurate nematic phases with modulation wavevectors that are either axial or oriented along the Brillouin zone diagonal. We examine the nematic phase diagram as a function of the filling, the interaction parameters, and the band structure. We also present results for the excitation spectrum near the nematic instability, and show that a soft nematic mode emerges from the particle-hole continuum at the transition. The Fermi surface reconstructions that accompany the modulated nematic phases are discussed with respect to their relevance for magneto-oscillation and photoemission measurements. The modulated nematic phases that emerge from the three-band Emery model are compared to those found previously in one-band models.

13 pages, 12 figures. Revised in response to referee comments

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• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Bond order instabilities in a correlated two-dimensional metal
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Spin-Fluctuation-Driven Nematic Charge-Density-Wave in Cuprate Superconductors: Impact of Aslamazov-Larkin-Type Vertex Correction
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• Intermediate Coupling Model of the Cuprates
• Nematic Fluctuations in the Cuprate Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Ground-state phase diagram of the three-band Hubbard model from density matrix embedding theory
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Evidence for a charge collective mode associated with superconductivity in copper oxides from neutron and x-ray scattering measurements of La${}_{2-x}$Sr${}_x$CuO${}_4$
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
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• Multistage Electronic Nematic Transitions in Cuprate Superconductors: Functional-Renormalization-Group Analysis
• $p$-orbital density wave with $d$ symmetry in high-$T_c$ cuprate superconductors predicted by the renormalization-group + constrained RPA theory
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• Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates
• Multiorbital effects in the functional renormalization group: A weak-coupling study of the Emery model
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• Emergent Charge Order from Correlated Electron-Phonon Physics in Cuprates
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• Spin-fermion model with overlapping hot spots and charge modulation in cuprates
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• Unified description of cuprate superconductors using four-band $d$-$p$ model
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• Thermodynamic electric quadrupole moments of nematic phases from first-principles calculation
• Antagonistic in-plane resistivity anisotropies from competing fluctuations in underdoped cuprates
• Discovery of Orbital Ordering in Bi2Sr2CaCu2O8+x
• Emergence of charge order in a staggered loop-current phase of cuprate high-temperature superconductors
• Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR
• Real space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• $d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\kappa$-(BEDT-TTF)${}_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis
• Superconductivity and intra-unit-cell electronic nematic phase in the three-band model of cuprates
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Prediction of pseudogap formation due to $d$-wave bond-order in organic superconductor $\kappa$-(BEDT-TTF)${}_2$X
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• The Transformation of the Superconducting Gap to an Insulating Pseudogap at a Critical Hole Density in the Cuprates
• Monte Carlo study of cuprate superconductors in a four-band $d$-$p$ model: Role of orbital degrees of freedom
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• Characteristic energy of the nematic-order state and its connection to enhancement of superconductivity in cuprate superconductors
• $d$-Density Wave (DDW) Scenario Description of the New Hidden Charge Order in Cuprates
• Cluster dynamical mean field study of intra-unit-cell charge nematicity in hole-doped cuprates
• Atomic-Scale Visualization of the Cuprate Pair Density Wave State