Random-mass Dirac fermions in an imaginary vector potential: Delocalization transition and localization length

Abstract

One dimensional system of Dirac fermions with a random-varying mass is studied by the transfer-matrix methods which we developed recently. We investigate the effects of nonlocal correlation of the spatial-varying Dirac mass on the delocalization transition. Especially we numerically calculate both the "typical" and "mean" localization lengths as a function of energy and the correlation length of the random mass. To this end we introduce an imaginary vector potential as suggested by Hatano and Nelson and solve the eigenvalue problem. Numerical calculations are in good agreement with the results of the analytical calculations.

4 pages

References in corpus (3)

• Localized and Extended States in One-Dimensional Disordered System: Random-Mass Dirac Fermions
• Nonlocally-Correlated Disorder and Delocalization in One Dimension: Density of States
• Nonlocally-correlated disorder and delocalization in one dimension II: Localization length

Cited by in corpus (5)

• Tight-binding lattices with an oscillating imaginary gauge field
• Effects of Long-Range Correlations in Random-Mass Dirac Fermions
• Quantum Spin Chains with Nonlocally-Correlated Random Exchange Coupling and Random-Mass Dirac Fermions
• Eigenvalues bifurcating from the continuum in two-dimensional potentials generating non-Hermitian gauge fields
• Superexponential amplification, power blowup, and solitons sustained by non-Hermitian gauge potentials