Deformed strings in the Heisenberg model

Details Deformed strings in the Heisenberg model Deformed strings in the Heisenberg model

2007-07-19

arxiv.org/abs/0707.2803v1

J. Phys. A: Math. Theor. 40 (2007) 14605-14647

Physics

Condensed Matter

Strongly Correlated Electrons

34 pages, 13 figures

Scientific paper

10.1088/1751-8113/40/49/001

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.

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