Low-energy effective theory and symmetry classification of flux phases on Kagome lattice

Abstract

Motivated by recent experiments on AV${}_3$Sb${}_5$ (A=K,Rb,Cs), the chiral flux phase has been proposed to explain time-reversal symmetry breaking. To fully understand the physics behind the chiral flux phase, we construct a low-energy effective theory based on the van-Hove points around the Fermi surface. The possible symmetry-breaking states and their classifications of the low-energy effective theory are completely studied, especially the flux phases on Kagome lattice. In addition, we discuss the relations between the low-energy symmetry breaking orders, the chiral flux and charge bond orders. We find all possible 183 flux phases on Kagome lattice within 2*2 unit cell by brute-force approach and classify them by point group symmetry. Among the 183 phases, we find 3 classes in 1*1 unit cell, 8 classes in 1*2 unit cell and 18 classes in 2*2 unit cell, respectively. These results provide a full picture of the time-reversal symmetry breaking in Kagome lattices.

10 pages, 11 figures

References in corpus (13)

• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Discovery of unconventional chiral charge order in kagome superconductor KV3Sb5
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Charge density waves and electronic properties of superconducting kagome metals
• Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$
• Electronic instabilities of kagome metals: saddle points and Landau theory
• Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in kagome metals ${\text{AV}}_3{\text{Sb}}_5$
• Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
• Charge-Density Wave Order on a $\pi$-flux Square Lattice
• Magic continuum in twisted bilayer square lattice with staggered flux
• Staggered-flux state for rectangular-lattice spin 1/2 Heisenberg antiferromagnet

Cited by in corpus (22)

• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Charge density wave in kagome lattice intermetallic ScV6Sn6
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Geometry of the charge density wave in kagom$\acute{e}$ metal AV${}_3$Sb${}_5$
• Role of Sb in the superconducting kagome metal CsV${}_3$Sb${}_5$ revealed by its anisotropic compression
• Loop-current charge density wave driven by long-range Coulomb repulsion on the kagome lattice
• Optical study of RbV${}_3$Sb${}_5$: Multiple density-wave gaps and phonon anomalies
• Crucial role of out-of-plane Sb-$p$ orbitals in Van Hove singularity formation and electronic correlation for superconducting Kagome metal CsV${}_3$Sb${}_5$
• Gapless excitations inside the fully gapped kagome superconductors AV${}_3$Sb${}_5$
• Multidome superconductivity in charge density wave kagome metals
• Tuning charge-density wave order and superconductivity in the kagome metals KV${}_3$Sb${}_{5-x}$Sn${}_x$ and RbV${}_3$Sb${}_{5-x}$Sn${}_x$
• Electronic properties of correlated kagomé metals AV${}_3$Sb${}_5$(A = K, Rb, Cs): A perspective
• Charge order in the kagome lattice Holstein model: A hybrid Monte Carlo study
• Electronic structure and spin-lattice relaxation in superconducting vortex states on the kagome lattice near van Hove filling
• Emergence of Quantum Confinement in Topological Kagome Superconductor CsV${}_3$Sb${}_5$ family
• Statistical learning of engineered topological phases in the kagome superlattice of AV${}_3$Sb${}_5$
• Non-degenerate surface pair density wave in the Kagome superconductor CsV${}_3$Sb${}_5$ -- application to vestigial orders
• Titanium doped kagome superconductor CsV3-xTixSb5 and two distinct phases
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Hexagonal-to-base-centered-orthorhombic $4Q$ charge density wave order in kagome metals KV${}_3$Sb${}_5$, RbV${}_3$Sb${}_5$, and CsV${}_3$Sb${}_5$
• Charge-density waves in kagome-lattice extended Hubbard models at the van Hove filling