有限温度下诱导杂化相的描述
A Description of Phases with Induced Hybridisation at Finite Temperatures
摘要：
在扩展的Falicov-Kimball模型中，激子绝缘体相可以在零温度下稳定。随着温度的升高，激子序参量（相互作用诱导的现场杂化，其特征在于绝对值和相位）最终变得无序，这涉及其相位和（在较高T下）其绝对值的波动。为了建立一个适当的平均场描述，重要的是要澄清的性质与诱导杂交的相位和绝对值，以及相应的相空间体积的自由度。我们表明，一个可能的描述是由现场SU（4）参数化。原则上，这允许描述其中相位波动破坏长程序的较低温度状态和对应于相对于波动水平的杂化的绝对值的减小的较高温度交叉。这幅图也被期望在其他背景下是相关的，包括近藤晶格模型。
英文摘要：
In an extended Falicov-Kimball model, an excitonic insulator phase can be stabilised at zero temperature. With increasing temperature, the excitonic order parameter (interaction-induced hybridisation on-site, characterised by the absolute value and phase) eventually becomes disordered, which involves fluctuations of both its phase and (at higher T) its absolute value. In order to build an adequate mean field description, it is important to clarify the nature of degrees of freedom associated with the phase and absolute value of the induced hybridisation, and the corresponding phase space volume. We show that a possible description is provided by the SU(4) parametrisation on-site. In principle, this allows to describe both the lower-temperature regime where phase fluctuations destroy the long-range order, and the higher temperature crossover corresponding to a decrease of absolute value of the hybridisation relative to the fluctuations level. This picture is also expected to be relevant in other contexts, including the Kondo lattice model.
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