Flux state and anomalous quantum Hall effect in square Kondo lattice

TL;DR

This paper explores how flux states in square Kondo lattices induce anomalous Hall effects through symmetry breaking, with potential realization in multiferroic materials like TbMnO3.

Contribution

It demonstrates the emergence of topologically nontrivial band structures and AHE in square Kondo lattices via lattice distortion and chirality, highlighting a new mechanism for topological phenomena.

Findings

Flux state induces anomalous Hall effect in square Kondo lattice.

Symmetry breaking leads to topologically nontrivial band structures.

Potential realization in multiferroic TbMnO3.

Abstract

The anomalous Hall effect (AHE) around the flux state in square Kondo lattice is investigated. By introducing the lattice distortion and local chirality, the square Kondo lattice can break the parity symmetry and time reversal symmetry spontaneously, and thus generate a topological nontriviality in the band structure associated with the AHE. Moreover, a possible realization of this AHE in multiferroic TbMnO$_3$ is discussed.