Dynamic enhancement of conductance in fractional quantum Hall constriction
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908691659227136 |
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| author | Karmakar, Sampurna Ratnakar, Amulya Das, Sourin |
| author_facet | Karmakar, Sampurna Ratnakar, Amulya Das, Sourin |
| contents | A disparity in the charge of quasi-particle excitations across a tunnel junction can trigger Andreev-like processes, creating an effect similar to that of a step-up transformer. We study such a junction in its strong coupling limit in the context of quantum Hall states. Specifically, for filling fractions $ν=1$ and $1/3$, we show the DC gain in the transformer action is bounded by 3/2, irrespective of the interedge interaction range, while the AC gain is bounded by $\sqrt{3}$ and is sensitive to the range of the interaction. This setup presents a unique possibility of frequency-tunable resonances and anti-resonances across the QPC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00939 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dynamic enhancement of conductance in fractional quantum Hall constriction Karmakar, Sampurna Ratnakar, Amulya Das, Sourin Mesoscale and Nanoscale Physics A disparity in the charge of quasi-particle excitations across a tunnel junction can trigger Andreev-like processes, creating an effect similar to that of a step-up transformer. We study such a junction in its strong coupling limit in the context of quantum Hall states. Specifically, for filling fractions $ν=1$ and $1/3$, we show the DC gain in the transformer action is bounded by 3/2, irrespective of the interedge interaction range, while the AC gain is bounded by $\sqrt{3}$ and is sensitive to the range of the interaction. This setup presents a unique possibility of frequency-tunable resonances and anti-resonances across the QPC. |
| title | Dynamic enhancement of conductance in fractional quantum Hall constriction |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2306.00939 |