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Original publication:
| Title: | Deformed strings in the Heisenberg model |
| Author(s): | Rob Hagemans, Jean-Sébastien Caux |
| As Contributors: | Jean-Sébastien Caux |
| Journal ref.: | Journal of Physics A: Mathematical and Theoretical 40, 14605-14647 |
| DOI: | http://dx.doi.org/10.1088/1751-8113/40/49/001 |
| Date: | 2007-11-21 |
Abstract:
We investigate solutions to the Bethe equations for the isotropic S = 1/2 Heisenberg chain involving complex, string-like rapidity configurations of arbitrary length. Going beyond the traditional string hypothesis of undeformed strings, we describe a general procedure to construct eigenstates including strings with generic deformations, discuss general features of these solutions and provide a number of explicit examples including complete solutions for all wavefunctions of short chains. We finally investigate some singular cases and show from simple symmetry arguments that their contribution to zero-temperature correlation functions vanishes.