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Surface free energy of the open XXZ spin-1/2 chain | | K. K. Kozlowski
; B. Pozsgay
; | | Date: |
27 Jan 2012 | | Abstract: | We study the boundary free energy of the XXZ spin-$ f{1}{2}$ chain subject
to diagonal boundary fields. We first show that the representation for its
finite Trotter number approximant obtained by Bortz, Frahm and G"{o}hmann is
related to the partition function of the six-vertex model with reflecting ends.
Building on the Tsuchiya determinant representation for the latter quantity we
are able to take the infinite Trotter number limit. This yields a
representation for the surface free energy which involves the solution of the
non-linear integral equation that governs the thermodynamics of the XXZ
spin-1/2 chain subject to periodic boundary conditions. We show that this
integral representation allows one to extract the low-$T$ asymptotic behavior
of the boundary magnetization at finite external magnetic field on the one hand
and numerically plot this function on the other hand. | | Source: | arXiv, 1201.5884 | | Services: | Forum | Review | PDF | Favorites | |
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