Research output: Contribution to journal › Article › peer-review
The two-point correlation function in the six-vertex model. / Belov, Pavel ; Reshetikhin, Nicolai .
In: Journal of Physics A: Mathematical and Theoretical, Vol. 55, No. 15, 155001, 19.04.2022.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - The two-point correlation function in the six-vertex model
AU - Belov, Pavel
AU - Reshetikhin, Nicolai
N1 - Publisher Copyright: © 2022 IOP Publishing Ltd.
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