Hidden symmetry in 1D localisation

IF 1.2 4区材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Philosophical Magazine Letters Pub Date : 2022-07-13 DOI:10.1080/09500839.2022.2096267

I. M. Suslov

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引用次数: 0

Abstract

ABSTRACT

Resistance ρ of an one-dimensional disordered system of length L has the log-normal distribution in the limit of large L. Parameters of this distribution depend on the Fermi level position, but are independent on the boundary conditions. However, the boundary conditions essentially affect the distribution of phases entering the transfer matrix and generally change the parameters of the evolution equation for the distribution Abstract Image $P (ρ)$ . This visible contradiction is resolved by the existence of the hidden symmetry, whose nature is revealed by the derivation of the equation for the stationary phase distribution and by analysis of its transformation properties.

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一维局部化中的隐藏对称性

长度为L的一维无序系统的电阻ρ在大L的极限处呈对数正态分布，该分布的参数与费米能级位置有关，但与边界条件无关。然而，边界条件实质上影响了进入传递矩阵的相的分布，并且通常改变了P(ρ)分布演化方程的参数。这种可见的矛盾是由隐对称性的存在解决的，隐对称性的本质是通过对定相分布方程的推导和对其变换性质的分析来揭示的。

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来源期刊

Philosophical Magazine Letters 物理-物理：凝聚态物理

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

2.7 months

期刊介绍： Philosophical Magazine Letters is the rapid communications part of the highly respected Philosophical Magazine, which was first published in 1798. Its Editors consider for publication short and timely contributions in the field of condensed matter describing original results, theories and concepts relating to the structure and properties of crystalline materials, ceramics, polymers, glasses, amorphous films, composites and soft matter. Articles emphasizing experimental, theoretical and modelling studies on solids, especially those that interpret behaviour on a microscopic, atomic or electronic scale, are particularly appropriate. Manuscripts are considered on the strict condition that they have been submitted only to Philosophical Magazine Letters , that they have not been published already, and that they are not under consideration for publication elsewhere.