arXiv:1312.6817 · Journal of Statistical Mechanics Theory and Experiment

Twisted Heisenberg chain and the six-vertex model with DWBC

W. Galléas

Published Nov 25, 2014• 9 citations

Abstract

In this work we establish a relation between the six-vertex model with Domain Wall Boundary Conditions (DWBC) and the XXZ spin chain with anti-periodic twisted boundaries. More precisely, we demonstrate a formal relation between the zeroes of the partition function of the six-vertex model with DWBC and the zeroes of the transfer matrix eigenvalues associated with the six-vertex model with a particular non-diagonal boundary twist.

DOI: 10.1088/1742-5468/2014/11/p11028

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