Phase diagram of an extended parafermion chain

Jurriaan Wouters; Fabian Hassler; Hosho Katsura; Dirk Schuricht

doi:10.48550/arXiv.2106.15823

Phase diagram of an extended parafermion chain

Jurriaan Wouters
, Fabian Hassler
, Hosho Katsura
, Dirk Schuricht

Research output: Working paper › Preprint › Academic

Abstract

We study the phase diagram of an extended parafermion chain, which, in addition to terms coupling parafermions on neighbouring sites, also possesses terms involving four sites. Via a Fradkin--Kadanoff transformation the parafermion chain is shown to be equivalent to the non-chiral $\mathbb{Z}_3$ axial next-nearest neighbour Potts model. We discuss a possible experimental realisation using hetero-nanostructures. The phase diagram contains several gapped phases, including a topological phase where the system possesses three (nearly) degenerate ground states, and a gapless Luttinger-liquid phase.

Original language	English
Publisher	arXiv
Pages	1-34
DOIs	https://doi.org/10.48550/arXiv.2106.15823
Publication status	Published - 30 Jun 2021

Keywords

cond-mat.str-el

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10.48550/arXiv.2106.15823

2106.15823v2Submitted manuscript, 1.75 MB

https://arxiv.org/abs/2106.15823

Cite this

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title = "Phase diagram of an extended parafermion chain",

abstract = " We study the phase diagram of an extended parafermion chain, which, in addition to terms coupling parafermions on neighbouring sites, also possesses terms involving four sites. Via a Fradkin--Kadanoff transformation the parafermion chain is shown to be equivalent to the non-chiral \$\textbackslash{}mathbb\{Z\}\_3\$ axial next-nearest neighbour Potts model. We discuss a possible experimental realisation using hetero-nanostructures. The phase diagram contains several gapped phases, including a topological phase where the system possesses three (nearly) degenerate ground states, and a gapless Luttinger-liquid phase. ",

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N2 - We study the phase diagram of an extended parafermion chain, which, in addition to terms coupling parafermions on neighbouring sites, also possesses terms involving four sites. Via a Fradkin--Kadanoff transformation the parafermion chain is shown to be equivalent to the non-chiral $\mathbb{Z}_3$ axial next-nearest neighbour Potts model. We discuss a possible experimental realisation using hetero-nanostructures. The phase diagram contains several gapped phases, including a topological phase where the system possesses three (nearly) degenerate ground states, and a gapless Luttinger-liquid phase.

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PB - arXiv

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Phase diagram of an extended parafermion chain

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