Super-diffusive transport in two-dimensional Fermionic wires
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911945260531712 |
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| author | Bhat, Junaid Majeed |
| author_facet | Bhat, Junaid Majeed |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Super-diffusive transport in two-dimensional Fermionic wires Bhat, Junaid Majeed Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics 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. |
| title | Super-diffusive transport in two-dimensional Fermionic wires |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2405.15560 |