Super-diffusive transport in two-dimensional Fermionic wires

Autor:	Bhat, Junaid Majeed
Rok vydání:	2024
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We present a two-dimensional model of a Fermionic wire which shows a power-law conductance behavior despite the presence of uncorrelated disorder along the direction of the transport. The power-law behavior is attributed to the presence of energy eigenstates of diverging localization length below some energy cutoff, $E_c$. To study transport, we place the wire in contact with electron reservoirs biased around a Fermi level, $E$. We show that the conductance scales super-diffusively for $|E|E_c$. At $|E|=E_c$, we show that the conductance scales diffusively or with different sub-diffusive power-laws depending on the sign of the expectation value of the disorder and the parameters of the wire. Comment: 10 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.15560 Zobrazit plný text záznamu View this record from Arxiv