论文标题
每个粒子的差分熵作为van霍夫奇异性和平坦带的探针
Differential entropy per particle as a probe of van Hove singularities and flat bands
论文作者
论文摘要
在本文中，我们得出了状态密度的每个粒子附近的每个粒子的差分熵的一般表达式。熵对化学势和温度的依赖性取决于VHS的类型表现出不同的行为，并区分了具有不同差异指数和平坦带的高阶VHS。 In addition, it allows one to test the ``flatness" of the band in experiment. We compare the analytic predictions with the numerical calculation of the differential entropy for tight-binding models of graphene, Lieb lattice and square-octagon lattice. Our results show that the obtained analytic expressions capture the main features of the differential entropy, thus serving as a good probe for details of the density of states structure.
In the present paper we derive the general expressions for the differential entropy per particle near van Hove singularities (vHs) in the density of states. The dependence of entropy per particle on chemical potential and temperature demonstrates different behavior depending on the type of vHs, and distinguishes high-order vHs with different divergence exponents and flat bands. In addition, it allows one to test the ``flatness" of the band in experiment. We compare the analytic predictions with the numerical calculation of the differential entropy for tight-binding models of graphene, Lieb lattice and square-octagon lattice. Our results show that the obtained analytic expressions capture the main features of the differential entropy, thus serving as a good probe for details of the density of states structure.
