论文标题
Luttinger液体中的近代物理学的广义Calogero-sutherland模型
Generalized Calogero-Sutherland models for Kondo physics in the Luttinger liquid
论文作者
论文摘要
我们提出了一系列具有反方面相互作用的模型，为基础状态具有精确的封闭形式，该模型描述了一种局部旋转$ 1/2 $近的杂质，耦合到连续性或晶格中的静脉玻色子或费米子的Luttinger液体。模型汉密尔顿人包含两个部分：在连续体中具有开放边界条件的两个组成部分的Calogero-Sutherland模型，或晶格上的远距离$ T \ TextEndEndash J $ -Type模型，以及杂质和颗粒之间的远距离杂种耦合。基础状态的波函数在一定的基础上具有jastrow产物，并取决于粒子统计。结果表明，波函数可以表示为某些共形场理论的手性相关因子，该理论表明颗粒已被分数化以完全筛选近代杂质。这种见解将在以后的研究中对与浴室相互作用的近野物理学非常困难的问题非常有用。
We propose a series of models with inverse-square interactions, for which the ground states have an exact closed form, that describe one localized spin-$1/2$ Kondo impurity coupled to Luttinger liquids of itinerant bosons or fermions in the continuum or on a lattice. The model Hamiltonians contain two parts: a two-component Calogero-Sutherland model with open boundary condition in the continuum or a long-range $t \textendash J$-type model on the lattice, and long-range Kondo couplings between the impurity and the particles. The wave functions of the ground states in a certain basis have Jastrow product forms with powers depending on the particle statistics. It is shown that the wave functions can be expressed as chiral correlators of certain conformal field theories, which reveals that the particles are fractionalized to fully screen the Kondo impurity. This insight would be very useful in future studies on the very difficult problem of Kondo physics with interacting baths.
