Quantum Avalanche on Infinite Ribbon-like Lattice with Disorder

Quantum Avalanche describes the excited electrons occupying abruptly to nonequilibrium conduction band under DC Electric field. A mechanism[1][2] accounts for Quantum Avalanche as nonequilibrium quantum criticality was recently proposed predicting the switching fields of Insulator-Metal transition which are of the same order of magnitude as the experimental results for Mott insulators and CDW materials. With such a mechanism of Quantum Avalanche, we want to observe how it competes with the effect of electronic disorder which tends to lead the insulating state of the materials. We develop a 2D infinite long ribbon-like disordered electronic system coupled to an electronic bath and the electron-phonon interaction is also considered in the system. Numerical calculations can be performed for such a lattice model and the results will assist our further analytic analysis.

[1] J. E. Han, C. Aron, X. Chen, I. Mansaray, J.-H. Han, K.-S. Kim, M. Randle, and J. P. Bird, Nat Commun 14, 2936 (2023).

[2] X. Chen and J. E. Han, arXiv:2307.07612 [cond-mat.str-el] (2023)