Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons

Abstract

We investigate the possibility of an Anderson transition below two dimensions in disordered systems of non-interacting electrons with symplectic symmetry. Numerical analysis of energy level statistics and conductance statistics on Sierpinski carpets with spin-orbit coupling indicates the occurrence of an Anderson transition below two dimensions.

References in corpus (7)

• Corrections to scaling at the Anderson transition
• 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
• Scaling of the conductance distribution near the Anderson transition
• Anderson transition in the three dimensional symplectic universality class
• Universality of the critical conductance distribution in various dimensions

Cited by in corpus (8)

• Quantum transport of massless Dirac fermions in graphene
• Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems
• Deep Learning the Quantum Phase Transitions in Random Electron Systems: Applications to Three Dimensions
• Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions
• An attractive critical point from weak antilocalization on fractals
• Borel-Padé re-summation of the $\beta$-functions describing Anderson localisation in the Wigner-Dyson symmetry classes
• Anderson transition in one-dimensional systems with spatial disorder
• Quantum transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below