Transport Properties and Density of States of Quantum Wires with Off-diagonal Disorder

Abstract

We review recent work on the random hopping problem in a quasi-one-dimensional geometry of N coupled chains (quantum wire with off-diagonal disorder). Both density of states and conductance show a remarkable dependence on the parity of N. The theory is compared to numerical simulations.

8 pages, to appear in Physica E (special issue on Dynamics of Complex Systems); 6 figures

References in corpus (2)

• Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
• Crossover from the chiral to the standard universality classes in the conductance of a quantum wire with random hopping only

Cited by in corpus (7)

• Random matrix theory and symmetric spaces
• Spectral and Transport Properties of Quantum Wires with Bond Disorder
• Fluctuations of random matrix products and 1D Dirac equation with random mass
• Density of states at disorder-induced phase transitions in a multichannel Majorana wire
• Topological phase transitions in the 1D multichannel Dirac equation with random mass and a random matrix model
• Conductance scaling at the band center of wide wires with pure non--diagonal disorder
• Chiral chains with two valleys and disorder of finite correlation length