Martínez-Argüello A M, Méndez-Bermúdez J A, Martínez-Mares M
Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, 62210, Cuernavaca Mor., Mexico.
Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570 Puebla, Mexico.
Phys Rev E. 2019 Jun;99(6-1):062202. doi: 10.1103/PhysRevE.99.062202.
We study the voltage drop along three-terminal disordered wires in all transport regimes, from the ballistic to the localized regime. This is performed by measuring the voltage drop on one side of a one-dimensional disordered wire in a three-terminal setup as a function of disorder. Two models of disorder in the wire are considered: (i) the one-dimensional Anderson model with diagonal disorder and (ii) finite-width bulk-disordered waveguides. Based on the known β dependence of the voltage drop distribution of the three-terminal chaotic case, β being the Dyson symmetry index (β=1, 2, and 4 for orthogonal, unitary, and symplectic symmetries, respectively), the analysis is extended to a continuous parameter β>0 and uses the corresponding expression as a phenomenological one to reach the disordered phase. We show that our proposal encompasses all the transport regimes with β depending linearly on the disorder strength.
我们研究了在从弹道输运到局域化输运的所有输运区域中,三端无序导线的电压降。这是通过在三端设置中测量一维无序导线一侧的电压降作为无序度的函数来实现的。考虑了导线中两种无序模型:(i)具有对角无序的一维安德森模型和(ii)有限宽度的体无序波导。基于已知的三端混沌情形下电压降分布的β依赖性,β为戴森对称指标(分别对应正交、酉和辛对称时β = 1、2和4),分析扩展到连续参数β>0,并使用相应表达式作为唯象表达式来研究无序相。我们表明,我们的提议涵盖了所有输运区域,其中β与无序强度呈线性关系。