The two-point correlation function in the six-vertex model

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The two-point correlation function in the six-vertex model. / Belov, Pavel ; Reshetikhin, Nicolai .

в: Journal of Physics A: Mathematical and Theoretical, Том 55, № 15, 155001, 19.04.2022.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{e262b72c0f484095b1e97fb08d25a26e,

title = "The two-point correlation function in the six-vertex model",

abstract = "We study numerically the two-point correlation functions of height functions in the six-vertex model with domain wall boundary conditions. The correlation functions and the height functions are computed by the Markov chain Monte-Carlo algorithm. Particular attention is paid to the free fermionic point (Δ = 0), for which the correlation functions are obtained analytically in the thermodynamic limit. A good agreement of the exact and numerical results for the free fermionic point allows us to extend calculations to the disordered (|Δ| < 1) phase and to monitor the logarithm-like behavior of correlation functions there. For the antiferroelectric (Δ < −1) phase, the exponential decrease of correlation functions is observed.",

keywords = "Monte Carlo simulations, correlations, limit shape, six-vertex model, TRANSITION, STATISTICS, LIMIT SHAPES, DIMERS, LATTICE, ENTROPY",

author = "Pavel Belov and Nicolai Reshetikhin",

note = "Publisher Copyright: {\textcopyright} 2022 IOP Publishing Ltd.",

year = "2022",

month = apr,

day = "19",

doi = "10.1088/1751-8121/ac578e",

language = "English",

volume = "55",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "15",

}

RIS

TY - JOUR

T1 - The two-point correlation function in the six-vertex model

AU - Belov, Pavel

AU - Reshetikhin, Nicolai

PY - 2022/4/19

Y1 - 2022/4/19

N2 - We study numerically the two-point correlation functions of height functions in the six-vertex model with domain wall boundary conditions. The correlation functions and the height functions are computed by the Markov chain Monte-Carlo algorithm. Particular attention is paid to the free fermionic point (Δ = 0), for which the correlation functions are obtained analytically in the thermodynamic limit. A good agreement of the exact and numerical results for the free fermionic point allows us to extend calculations to the disordered (|Δ| < 1) phase and to monitor the logarithm-like behavior of correlation functions there. For the antiferroelectric (Δ < −1) phase, the exponential decrease of correlation functions is observed.

AB - We study numerically the two-point correlation functions of height functions in the six-vertex model with domain wall boundary conditions. The correlation functions and the height functions are computed by the Markov chain Monte-Carlo algorithm. Particular attention is paid to the free fermionic point (Δ = 0), for which the correlation functions are obtained analytically in the thermodynamic limit. A good agreement of the exact and numerical results for the free fermionic point allows us to extend calculations to the disordered (|Δ| < 1) phase and to monitor the logarithm-like behavior of correlation functions there. For the antiferroelectric (Δ < −1) phase, the exponential decrease of correlation functions is observed.

KW - Monte Carlo simulations

KW - correlations

KW - limit shape

KW - six-vertex model

KW - TRANSITION

KW - STATISTICS

KW - LIMIT SHAPES

KW - DIMERS

KW - LATTICE

KW - ENTROPY

UR - http://www.scopus.com/inward/record.url?scp=85126655176&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/6d3ea9d3-43fd-3192-9c2a-1381a61d7cd7/

U2 - 10.1088/1751-8121/ac578e

DO - 10.1088/1751-8121/ac578e

M3 - Article

VL - 55

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 15

M1 - 155001

ER -

ID: 93640522

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