Topological Spin Density Wave

TL;DR

This paper explores novel topological spin-density-wave states in a Hubbard model on a honeycomb lattice, revealing unique gauge field theories, spin-charge effects, and edge state phenomena.

Contribution

It introduces A-type and B-type topological spin-density-waves with distinct topological properties and gauge theories, advancing understanding of topological magnetic states.

Findings

Identification of A-TSDW and B-TSDW with different topological characteristics

Discovery of spin-charge separated and synchronized charge-flux binding effects

Analysis of edge states and quantized Hall effects in TSDWs

Abstract

In this paper, we investigate the topological Hubbard model on honeycomb lattice. By considering the topological properties of the magnetic state, new types of quantum states - A-type and B-type topological spin-density-waves (A-TSDW and B-TSDW) are explored. The low energy physics is solely determined by its Chern-Simons-Hopf gauge field theories with different K-matrices. In the formulism of topological field theory, we found spin-charge separated charge-flux binding effect for A-TSDW and spin-charge synchronized charge-flux binding effect for B-TSDW. In addition, we studied the edge states and quantized Hall effect in different TSDWs.