Numerical study of the 6-vertex model with domain wall boundary conditions

David Allison[1]; Nicolai Reshetikhin

  • [1] University of California, department of mathematics, Berkeley CA 94720-38 (USA)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 6, page 1847-1869
  • ISSN: 0373-0956

Abstract

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A Markov process converging to a random state of the 6-vertex model is constructed. It is used to show that a droplet of c-vertices is created in the antiferromagnetic phase and that the shape of this droplet has four cusps.

How to cite

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Allison, David, and Reshetikhin, Nicolai. "Numerical study of the 6-vertex model with domain wall boundary conditions." Annales de l’institut Fourier 55.6 (2005): 1847-1869. <http://eudml.org/doc/116236>.

@article{Allison2005,
abstract = {A Markov process converging to a random state of the 6-vertex model is constructed. It is used to show that a droplet of c-vertices is created in the antiferromagnetic phase and that the shape of this droplet has four cusps.},
affiliation = {University of California, department of mathematics, Berkeley CA 94720-38 (USA)},
author = {Allison, David, Reshetikhin, Nicolai},
journal = {Annales de l’institut Fourier},
keywords = {6-vertex; Markov chain; random sampling; Monte Carlo},
language = {eng},
number = {6},
pages = {1847-1869},
publisher = {Association des Annales de l'Institut Fourier},
title = {Numerical study of the 6-vertex model with domain wall boundary conditions},
url = {http://eudml.org/doc/116236},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Allison, David
AU - Reshetikhin, Nicolai
TI - Numerical study of the 6-vertex model with domain wall boundary conditions
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 6
SP - 1847
EP - 1869
AB - A Markov process converging to a random state of the 6-vertex model is constructed. It is used to show that a droplet of c-vertices is created in the antiferromagnetic phase and that the shape of this droplet has four cusps.
LA - eng
KW - 6-vertex; Markov chain; random sampling; Monte Carlo
UR - http://eudml.org/doc/116236
ER -

References

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