ARCTIC CURVES OF THE SIX-VERTEX MODEL ON GENERIC DOMAINS: THE TANGENT METHOD
International audience We revisit the problem of determining the Arctic curve in the six-vertex model with domain wall boundary conditions. We describe an alternative method, by which we recover the previously conjectured analytic expression in the square domain. We adapt the method to work for a la...
Published in: | Journal of Statistical Physics |
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Main Authors: | , |
Other Authors: | , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
HAL CCSD
2016
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Subjects: | |
Online Access: | https://hal.science/hal-03210251 https://hal.science/hal-03210251/document https://hal.science/hal-03210251/file/1605.01388_hal.pdf https://doi.org/10.1007/s10955-016-1590-0 |
Summary: | International audience We revisit the problem of determining the Arctic curve in the six-vertex model with domain wall boundary conditions. We describe an alternative method, by which we recover the previously conjectured analytic expression in the square domain. We adapt the method to work for a large class of domains, and for other models exhibiting limit shape phenomena. We study in detail some examples, and derive, in particular, the Arctic curve of the six-vertex model in a triangoloid domain at the ice-point. |
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