D类超导体的普适临界指数
Universal critical exponent in class D superconductors
摘要:
我们研究了无序超导体中非相互作用准粒子组成的物理系统,该系统既没有时间反演也没有自旋旋转不变性。该系统属于随机矩阵系综(RME)的最近的分类方案内的D类,其相图包含三个不同的阶段:金属和两个不同的本地化阶段,具有不同的量子化热霍尔电导。我们发现,描述不同的过渡(绝缘体到绝缘体和绝缘体到金属)的临界指数是相同的数值计算的误差内,也发现绝缘体到金属过渡的临界无序是能量无关的。
英文摘要:
We study a physical system consisting of non-interacting quasiparticles in disordered superconductors that have neither time-reversal nor spin-rotation invariance. This system belongs to class D within the recent classification scheme of random matrix ensembles (RME) and its phase diagram contains three different phases: metallic and two distinct localized phases with different quantized thermal Hall conductances. We find that critical exponents describing different transitions (insulator-to-insulator and insulator-to-metal) are identical within the error of numerical calculations and also find that critical disorder of the insulator-to-metal transition is energy independent.
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