Some ground-state expectation values for the free parafermion Z(N) spin chain

Zi Zhong Liu; Robert A. Henry; Murray T. Batchelor; Huan Qiang Zhou

doi:10.1088/1742-5468/ab4fe1

Some ground-state expectation values for the free parafermion Z(N) spin chain

Zi Zhong Liu, Robert A. Henry, Murray T. Batchelor, Huan Qiang Zhou

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We consider the calculation of ground-state expectation values for the non-Hermitian Z(N) spin chain described by free parafermions. For N = 2 the model reduces to the quantum Ising chain in a transverse field with open boundary conditions. Use is made of the Hellmann-Feynman theorem to obtain exact results for particular single site and nearest-neighbor ground-state expectation values for general N which are valid for sites deep inside the chain. These results are tested numerically for N = 3, including how they change as a function of distance from the boundary.

Original language	English
Article number	124002
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2019
Issue number	12
DOIs	https://doi.org/10.1088/1742-5468/ab4fe1
Publication status	Published - 3 Dec 2019

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title = "Some ground-state expectation values for the free parafermion Z(N) spin chain",

abstract = "We consider the calculation of ground-state expectation values for the non-Hermitian Z(N) spin chain described by free parafermions. For N = 2 the model reduces to the quantum Ising chain in a transverse field with open boundary conditions. Use is made of the Hellmann-Feynman theorem to obtain exact results for particular single site and nearest-neighbor ground-state expectation values for general N which are valid for sites deep inside the chain. These results are tested numerically for N = 3, including how they change as a function of distance from the boundary.",

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AU - Liu, Zi Zhong

AU - Henry, Robert A.

AU - Batchelor, Murray T.

AU - Zhou, Huan Qiang

PY - 2019/12/3

Y1 - 2019/12/3

N2 - We consider the calculation of ground-state expectation values for the non-Hermitian Z(N) spin chain described by free parafermions. For N = 2 the model reduces to the quantum Ising chain in a transverse field with open boundary conditions. Use is made of the Hellmann-Feynman theorem to obtain exact results for particular single site and nearest-neighbor ground-state expectation values for general N which are valid for sites deep inside the chain. These results are tested numerically for N = 3, including how they change as a function of distance from the boundary.

AB - We consider the calculation of ground-state expectation values for the non-Hermitian Z(N) spin chain described by free parafermions. For N = 2 the model reduces to the quantum Ising chain in a transverse field with open boundary conditions. Use is made of the Hellmann-Feynman theorem to obtain exact results for particular single site and nearest-neighbor ground-state expectation values for general N which are valid for sites deep inside the chain. These results are tested numerically for N = 3, including how they change as a function of distance from the boundary.

KW - integrable spin chains and vertex models

UR - https://www.scopus.com/pages/publications/85079900161

U2 - 10.1088/1742-5468/ab4fe1

DO - 10.1088/1742-5468/ab4fe1

M3 - Article

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VL - 2019

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

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M1 - 124002

ER -

Some ground-state expectation values for the free parafermion Z(N) spin chain

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