Quantum transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below

Abstract

Electron transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below are studied numerically. The scaling hypothesis is checked by analyzing the scaling of the quasi-1D localization length. A logarithmic increase of the mean conductance is also confirmed. These support the theoretical prediction that the two dimensional metal in systems with spin-orbit coupling has a perfect conductivity. Transport through a Sierpinski carpet is also reported.

accepted in Proceedings of EP2DS-16 (to be published in Physica E)

References in corpus (9)

• Spintronics: Fundamentals and applications
• Metallic behavior and related phenomena in two dimensions
• The Anderson Transition in Two-Dimensional Systems with Spin-Orbit Coupling
• Reconciling Conductance Fluctuations and the Scaling Theory of Localization
• Numerical estimation of the $\beta$-function in 2D systems with spin-orbit coupling
• Diffusion of electrons in two-dimensional disordered symplectic systems
• Fluctuations of the Lyapunov exponent in 2D disordered systems
• Scaling of the conductance distribution near the Anderson transition
• Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons

Cited by in corpus (4)

• Quantum transport of massless Dirac fermions in graphene
• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• Metal--topological-insulator transition in the quantum kicked rotator with Z2 symmetry
• Bulk effects on topological conduction on the surface of 3-D topological insulators