论文标题
1D哈伯德模型中的旋转不连贯的液体和相互作用驱动的关键性
Spin incoherent liquid and interaction-driven criticality in 1D Hubbard model
论文作者
论文摘要
尽管几十年来一直对一维（1D）令人反感的Fermi-Hubbard模型进行了深入的研究，但仍然缺乏对模型许多方面的严格理解。在这项工作中，基于热力学Bethe Ansatz方程的解决方案，我们提供了以下严格的研究：（1）我们以各个阶段计算系统的分数激发，从中我们从中确定具有旋转旋转不相互关联的Luttinger Liquiel（sill）的参数状态。我们研究了窗台的通用性质和相关函数的不可分析。 （2）我们研究了相互作用驱动的相变和相关的关键性，并建立了接触敏感性与相对于相互作用强度的密度，磁化和熵的变化之间的基本联系。作为这些概念的应用，它适用于更高维系统，我们根据相互作用驱动的制冷循环提出了量子冷却方案。
Although the one dimensional (1D) repulsive Fermi-Hubbard model has been intensively studied over many decades, a rigorous understanding of many aspects of the model is still lacking. In this work, based on the solutions to the thermodynamic Bethe ansatz equations, we provide a rigorous study on the following: (1) We calculate the fractional excitations of the system in various phases, from which we identify the parameter regime featuring the spin incoherent Luttinger liquid (SILL). We investigate the universal properties and the asymprotic of correlation functions of the SILL. (2) We study the interaction-driven phase transition and the associated criticality, and build up an essential connection between the Contact susceptibilities and the variations of density, magnetization and entropy with respect to the interaction strength. As an application of these concepts, which hold true for higher dimensional systems, we propose a quantum cooling scheme based on the interaction-driven refrigeration cycle.
