Emergence of asymmetric fermionic order in interacting birefringent fermions

Abstract

The birefringent fermions possess a spectrum with two distinct Fermi velocities. Here based on the lattice model, we use the mean-field method to investigate the interaction-induced phase transitions of the birefringent fermions. We consider both the short-range nearest-neighbor (NN) and next-nearest-neighbor (NNN) repulsive interactions and calculate the phase diagrams under different conditions. We find that the NN interactions can induce the asymmetric charge density wave order, while the NNN interactions can drive the asymmetric quantum anomalous Hall order (AQAH) in the large limit of anisotropy in the hopping integrals, β\rightarrow 1. The AQAH order is characterized by the unequal loop currents connecting the NNN sites and by the appearance of a gap between the two conduction (valence) bands. Such asymmetric fermionic orders can be attributed to the specific lattice geometry of the birefringent fermions. The implications of our results for experiments are also discussed.

References in corpus (13)

• The electronic properties of graphene
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Topological Mott Insulators
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Superconducting Transitions in Flat Band Systems
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• Instabilities of a birefringent semi-metal
• Emergent dome of nematic order around a quantum anomalous Hall critical point
• Spontaneous symmetry breaking of an interacting Chern insulator on a topological square lattice
• Interaction-induced phase transitions of type-II Weyl semimetals
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields

Cited by in corpus (2)

• Relativistic non-Fermi liquid from interacting birefringent fermions: A robust superuniversality
• Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions