Spontaneous breaking of four-fold rotational symmetry in two-dimensional electronic systems explained as a continuous topological transition

Abstract

The Fermi liquid approach is applied to the problem of spontaneous violation of the four-fold rotational point-group symmetry ($C_4$) in strongly correlated two-dimensional electronic systems on a square lattice. The symmetry breaking is traced to the existence of a topological phase transition. This continuous transition is triggered when the Fermi line, driven by the quasiparticle interactions, reaches the van Hove saddle points, where the group velocity vanishes and the density of states becomes singular. An unconventional Fermi liquid emerges beyond the implicated quantum critical point.

6 pages, 4 figures

References in corpus (7)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
• Formation of Electronic Nematic Phase in Interacting Systems
• Competition of Fermi surface symmetry breaking and superconductivity
• Merging of single-particle levels and non-Fermi-liquid behavior of finite Fermi systems
• Fermi Liquid instabilities in two-dimensional lattice models

Cited by in corpus (1)

• Pomeranchuk instabilities in multicomponent lattice systems at finite Temperature