Spin-fermion model with overlapping hot spots and charge modulation in cuprates

Abstract

We study particle-hole instabilities in the framework of the spin-fermion (SF) model. In contrast to previous studies, we assume that adjacent hot spots can overlap due to a shallow dispersion of the electron spectrum in the antinodal region. In addition, we take into account effects of a remnant low energy and momentum Coulomb interaction. We demonstrate that at sufficiently small values $|\epsilon (\pi ,0)-E_F|\lesssim \Gamma$, where $E_F$ is the Fermi energy, $\epsilon \left(\pi ,0\right)$ is the energy in the middle of the Brillouin zone edge, and $\Gamma$ is a characteristic energy of the fermion-fermion interaction due to the antiferromagnetic fluctuations, the leading particle-hole instability is a d-form factor Fermi surface deformation (Pomeranchuk instability) rather than the charge modulation along the Brillouin zone diagonals predicted within the standard SF model previously. At lower temperatures, we find that the deformed Fermi surface is further unstable to formation of a d-form factor charge density wave (CDW) with a wave vector along the Cu-O-Cu bonds (axes of the Brillouin zone). We show that the remnant Coulomb interaction enhances the d-form factor symmetry of the CDW. These findings can explain the robustness of this order in the cuprates. The approximations made in the paper are justified by a small parameter that allows one an Eliashberg-like treatment. Comparison with experiments suggests that in many cuprate compounds the prerequisites for the proposed scenario are indeed fulfilled and the results obtained may explain important features of the charge modulations observed recently.

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Cited by in corpus (8)

• Dynamical charge density waves rule the phase diagram of cuprates
• Charge orders, magnetism and pairings in the cuprate superconductors
• Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-$T_c$ cuprates
• Pseudogap and (an)isotropic scattering in the fluctuating charge-density wave phase of cuprates
• Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
• Phase transition into Instanton Crystal
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Slowly decaying real-time oscillations in instanton crystal