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arXiv 0707.2803cond-mat.str-elcond-mat.stat-mechhep-th
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海森堡模型中的形变弦

Deformed strings in the Heisenberg model

R. Hagemans, J. -S. Caux

摘要:

我们研究了各向同性S = 1/2海森堡链的Bethe方程的解,该链包含复杂的、任意长度的弦状快度构型。超越传统的弦假设的未变形的字符串,我们描述了一个一般的程序来构建本征态,包括字符串与一般的变形,讨论这些解决方案的一般特征,并提供了一些明确的例子,包括完整的解决方案的所有波函数的短链。最后,我们调查了一些奇异的情况下,从简单的对称性参数,他们的贡献零温度关联函数消失。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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