Dynamical and topological properties of the Kitaev model in a [111] magnetic field

Matthias Gohlke, Roderich Moessner, Frank Pollmann

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75 Scopus citations

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.

Original languageEnglish
Article number014418
JournalPhysical Review B
Volume98
Issue number1
DOIs
StatePublished - 17 Jul 2018

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