Super-diffusive transport in two-dimensional Fermionic wires

Junaid Majeed Bhat

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arXiv · 2405.15560

Super-diffusive transport in two-dimensional Fermionic wires

Junaid Majeed Bhat

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Abstract

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.

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cond-mat.mes-hall cond-mat.dis-nn cond-mat.stat-mech quant-ph

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Junaid Majeed Bhat. 2024-05-24. Super-diffusive transport in two-dimensional Fermionic wires. https://arxiv.org/abs/2405.15560

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