Thermal correlation functions of the Heisenberg-Ising chain

海森堡-伊辛链的热相关函数

• 批准号: 233290817
• 负责人: Professor Dr. Frank Göhmann
• 金额: --
• 依托单位: Fachgruppe Physik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2013
• 资助国家: 德国
• 起止时间: 2012-12-31 至 2016-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/233290817?language=en
• 关键词: Thermal; correlation; functions; Heisenberg; Ising

The key objective of our research project is the exact and efficient calculation of all thermal correlationfunctions of the one-dimensional Heisenberg model. The Heisenberg model describesthe magnetism of insulators and hence of a large class of technically relevant materialswhich includes, for instance, the high temperature superconductors. Since magnetism is atrue many-body problem, many interesting questions are still open. In particular, we arelacking precise quantitative algorithms for the calculation of experimentally relevantquantities, especially for one- and two-dimensional systems. This is were our projectbegins. The thermal correlation functions we are planning to calculate determine theso-called static structure factor which is measured in neutron scattering experimentsas a functions of temperature and applied magnetic field. So far it can only be approximatelycalculated for very low temperatures. We are expecting that the methods we are goingto develop in our project will be of wider use, e.g., in the framework of the theory of ultra coldgases.

我们的研究项目的主要目标是精确和有效地计算一维海森堡模型的所有热关联函数。海森堡模型描述了绝缘体的磁性，因此也描述了一大类技术上相关的材料，例如高温超导体。由于磁学是真正的多体问题，许多有趣的问题仍然是开放的。特别是，我们缺乏精确的定量算法来计算实验相关的数量，特别是对于一维和二维系统。这是我们的项目开始。我们计划计算的热关联函数确定了所谓的静态结构因子，它是在中子散射实验中测量的温度和外加磁场的函数。到目前为止，它只能近似计算非常低的温度。我们期待我们在项目中开发的方法将得到更广泛的应用，例如，在超冷气体理论的框架内。

项目成果

Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain

XXZ链横向两点函数的低温大距离渐近

• DOI: 10.1088/1742-5468/2014/04/p04012
• 发表时间: 2014
• 期刊: Journal of Statistical Mechanics: Theory and Experiment
• 作者: M. Dugave;F. Göhmann;K. K. Kozlowski
• 通讯作者: K. K. Kozlowski

Thermal form factor approach to the ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime

反铁磁大块区域中 XXZ 链基态相关函数的热形状因子方法

• DOI: 10.1088/1751-8113/49/39/394001
• 发表时间: 2016
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: M. Dugave;F. Göhmann;K. K. Kozlowski;J. Suzuki
• 通讯作者: J. Suzuki

Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime

易轴状态下 Heisenberg-Ising 链相关函数的渐近

• DOI: 10.1088/1751-8113/49/7/07lt01
• 发表时间: 2016
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: M. Dugave;F. Göhmann;K. K. Kozlowski;J. Suzuki
• 通讯作者: J. Suzuki

Thermal form factors of the XXZ chain and the large-distance asymptotics of its temperature dependent correlation functions

XXZ 链的热形状因子及其与温度相关的相关函数的大距离渐近

• DOI: 10.1088/1742-5468/2013/07/p07010
• 发表时间: 2013
• 期刊: Journal of Statistical Mechanics: Theory and Experiment
• 作者: M. Dugave;F. Göhmann;K. K. Kozlowski
• 通讯作者: K. K. Kozlowski

Low-temperature spectrum of correlation lengths of the XXZ chain in the antiferromagnetic massive regime

反铁磁大质量体系中XXZ链相关长度的低温谱

• DOI: 10.1088/1751-8113/48/33/334001
• 发表时间: 2015
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: M. Dugave;F. Göhmann;K. K. Kozlowski;J. Suzuki
• 通讯作者: J. Suzuki