Super-diffusive transport in two-dimensional Fermionic wires

• URL: http://arxiv.org/abs/2405.15560v2
• Date: Fri, 5 Jul 2024 11:47:50 GMT
• Title: Super-diffusive transport in two-dimensional Fermionic wires
• Authors: Junaid Majeed Bhat,
• Abstract summary: The power-law behavior is attributed to the presence of energy eigenstates of diverging localization length below some energy cutoff, $E_c$. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 $|E|<E_c$ and decays exponentially 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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