Charge and current orders in the spin-fermion model with overlapping hot spots

Abstract

Experiments carried over the last years on the underdoped cuprates have revealed a variety of symmetry-breaking phenomena in the pseudogap state. Charge-density waves, breaking of $C_4$ rotational symmetry as well as time-reversal symmetry breaking have all been observed in several cuprate families. In this regard, theoretical models where multiple non-superconducting orders emerge are of particular interest. We consider the recently introduced (Phys. Rev. B 93, 085131 (2016)) spin-fermion model with overlapping 'hot spots' on the Fermi surface. Focusing on the particle-hole instabilities we obtain a rich phase diagram with the chemical potential relative to the dispersion at $(0,\pi );(\pi ,0)$ and the Fermi surface curvature in the antinodal regions being the control parameters. We find evidence for d-wave Pomeranchuk instability, d-form factor charge density waves as well as commensurate and incommensurate staggered bond current phases similar to the d-density wave state. The current orders are found to be promoted by the curvature. Considering the appropriate parameter range for the hole-doped cuprates, we discuss the relation of our results to the pseudogap state and incommensurate magnetic phases of the cuprates.

References in corpus (45)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Theory of Intertwined Orders in High Temperature Superconductors
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• 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
• Energy gaps in high-transition temperature cuprate superconductors
• 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
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• 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${}_y$
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
• Broken translational and rotational symmetry via charge stripe order in underdoped YBCO
• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Orbital currents in extended Hubbard models of high-T${}_c$ cuprates
• Topological order in the pseudogap metal
• Doping evolution of the electronic structure in the single-layer cuprates Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$: Comparison with other single-layer cuprates
• Checkerboard charge density wave and pseudogap in high-$T_c$ cuprates
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Broken time-reversal symmetry in strongly correlated ladder structures
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Electrical resistivity near Pomeranchuk instability in two dimensions
• Superconducting Fluctuations, Pseudogap and Phase Diagram in Cuprates
• No Evidence for Orbital Loop Currents in Charge Ordered YBa${}_2$Cu${}_3$O${}_{6+x}$ from Polarized Neutron Diffraction
• a-b anisotropy of the intra-unit-cell magnetic order in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.6}$
• Numerical analysis of three-band models for CuO planes as candidates for a spontaneous T violating orbital current phase
• Polar Kerr effect from chiral-nematic charge order
• Nematic and spin-charge orders driven by hole-doping a charge-transfer insulator
• Interplay of Pomeranchuk instability and superconductivity in the two-dimensional repulsive Hubbard model
• Superfluid density in the underdoped YBa_2Cu_3O_{7-x}: Evidence for d-density wave order of pseudogap
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• Staggered Flux State in Two-Dimensional Hubbard Models
• Notes on Constraints for the Observation of Polar Kerr Effect in Complex Materials
• Spin-rotationally symmetric domain flux phases in underdoped cuprates
• Effective spin-fermion model for strongly correlated electrons
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave
• Simultaneous drop in mean free path and carrier density at the pseudogap onset in high-$T_c$ cuprates

Cited by in corpus (3)

• Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
• Phase transition into Instanton Crystal
• Slowly decaying real-time oscillations in instanton crystal