Phase diagram of the \(\mathbb{Z}_3\)-Fock parafermion chain with pair hopping

We study a tight binding model of \(\mathbb{Z}_3\)-Fock parafermions with single-particle and pair-hopping terms. The phase diagram has four different phases: a gapped phase, a gapless phase with central charge \(c=2\), and two gapless phases with central charge \(c=1\). We characterise each phase b...

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Bibliographic Details
Published in:arXiv.org 2020-09
Main Authors: Mahyaeh, Iman, Wouters, Jurriaan, Schuricht, Dirk
Format: Article
Language:English
Subjects:
Computer simulation
Energy gap
Entanglement
Mathematical models
Phase diagrams
Online Access:Get full text
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Summary:We study a tight binding model of \(\mathbb{Z}_3\)-Fock parafermions with single-particle and pair-hopping terms. The phase diagram has four different phases: a gapped phase, a gapless phase with central charge \(c=2\), and two gapless phases with central charge \(c=1\). We characterise each phase by analysing the energy gap, entanglement entropy and different correlation functions. The numerical simulations are complemented by analytical arguments.
ISSN:2331-8422
DOI:10.48550/arxiv.2003.07812