vix.ing · top · new · best · stats · spec

Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field

2018/04/30 by Matthias Gohlke, Roderich Moessner, Frank Pollmann · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.98.014418

published as Phys. Rev. B 98, 014418 (2018) · Changed convention to be in accordance with published article

arxiv created 2018/12/05 · arxiv updated 2018/12/06

Abstract

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based numerical models, we confirm three phases with transitions at different field strengths depending on the sign of the Kitaev exchange: a non-abelian topological phase at low fields, an enigmatic intermediate regime only present for antiferromagnetic Kitaev exchange, and a field-polarized phase. For the topological phase, we numerically observe the expected cubic scaling of the gap and extract the quantum dimension of the non-Abelian anyons. Furthermore, we investigate dynamical signatures of the topological and the field-polarized phase using a matrix product operator based time evolution method.

Cited by