Energy spectrum and critical exponents of the free parafermion Z N spin chain

Francisco C. Alcaraz; Murray T. Batchelor; Zi Zhong Liu

doi:10.1088/1751-8121/aa645a

Energy spectrum and critical exponents of the free parafermion Z _N spin chain

Francisco C. Alcaraz, Murray T. Batchelor, Zi Zhong Liu

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12 Citations (Scopus)

Abstract

Results are given for the ground state energy and excitation spectrum of a simple N-state Z _N spin chain described by free parafermions. The model is non-Hermitian for with a real ground state energy and a complex excitation spectrum. Although having a simpler Hamiltonian than the superintegrable chiral Potts model, the model is seen to share some properties with it, e.g. the specific heat exponent and the anisotropic correlation length exponents and .

Original language	English
Article number	16LT03
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	50
Issue number	16
DOIs	https://doi.org/10.1088/1751-8121/aa645a
Publication status	Published - 20 Mar 2017

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title = "Energy spectrum and critical exponents of the free parafermion Z N spin chain",

abstract = "Results are given for the ground state energy and excitation spectrum of a simple N-state Z N spin chain described by free parafermions. The model is non-Hermitian for with a real ground state energy and a complex excitation spectrum. Although having a simpler Hamiltonian than the superintegrable chiral Potts model, the model is seen to share some properties with it, e.g. the specific heat exponent and the anisotropic correlation length exponents and .",

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AU - Alcaraz, Francisco C.

AU - Batchelor, Murray T.

AU - Liu, Zi Zhong

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Y1 - 2017/3/20

N2 - Results are given for the ground state energy and excitation spectrum of a simple N-state Z N spin chain described by free parafermions. The model is non-Hermitian for with a real ground state energy and a complex excitation spectrum. Although having a simpler Hamiltonian than the superintegrable chiral Potts model, the model is seen to share some properties with it, e.g. the specific heat exponent and the anisotropic correlation length exponents and .

AB - Results are given for the ground state energy and excitation spectrum of a simple N-state Z N spin chain described by free parafermions. The model is non-Hermitian for with a real ground state energy and a complex excitation spectrum. Although having a simpler Hamiltonian than the superintegrable chiral Potts model, the model is seen to share some properties with it, e.g. the specific heat exponent and the anisotropic correlation length exponents and .

KW - ZN spin chain, critical exponents

KW - free parafermions

UR - https://www.scopus.com/pages/publications/85016838317

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DO - 10.1088/1751-8121/aa645a

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Energy spectrum and critical exponents of the free parafermion Z _N spin chain

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