Dynamic enhancement of conductance in fractional quantum Hall constriction

AC transformer action of a quantum point contact separating quantum Hall states with distinct filling fractions \((\nu_{1},\nu_{2})\) is studied theoretically. The AC gain (\(g_{\nu_{1},\nu_{2}}(\omega)\)) of this setup is shown to exceed its DC bound (\(g^{max}_{\nu_{1},\nu_{2}}(\omega=0) = 2\,\mat...

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Veröffentlicht in:arXiv.org 2023-10
Hauptverfasser: Karmakar, Sampurna, Ratnakar, Amulya, Das, Sourin
Format: Artikel
Sprache:eng
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Zusammenfassung:AC transformer action of a quantum point contact separating quantum Hall states with distinct filling fractions \((\nu_{1},\nu_{2})\) is studied theoretically. The AC gain (\(g_{\nu_{1},\nu_{2}}(\omega)\)) of this setup is shown to exceed its DC bound (\(g^{max}_{\nu_{1},\nu_{2}}(\omega=0) = 2\,\mathrm{max}\lbrace\nu_{1},\nu_{2}\rbrace/(\nu_{1}+\nu_{2})\)) for a certain range of frequency in the presence of appropriate inter-electron interactions owing to displacement current induced by the ambient gate electrodes. This setup is also endowed with the unique possibility of having frequency tunable resonances and anti-resonances across the QPC.
ISSN:2331-8422