Correlated two-Leviton states in the fractional quantum Hall regime
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arXiv
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| Format: | Preprint |
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2023
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| author | Bertin-Johannet, Bruno Popoff, Alexandre Ronetti, Flavio Rech, Jérôme Jonckheere, Thibaut Raymond, Laurent Grémaud, Benoît Martin, Thierry |
| author_facet | Bertin-Johannet, Bruno Popoff, Alexandre Ronetti, Flavio Rech, Jérôme Jonckheere, Thibaut Raymond, Laurent Grémaud, Benoît Martin, Thierry |
| contents | We consider a two-dimensional electron system in the Laughlin sequence of the fractional quantum Hall regime to investigate the effect of strong correlations on the mutual interaction between two Levitons, single-electron excitations generated by trains of quantized Lorentzian pulses. We focus on two-Leviton states injected in a single period with a time separation $Δt$. In the presence of a quantum point contact operating in the weak-backscattering regime, we compute the backscattered charge by means of the Keldysh technique. In the limit of an infinite period and zero temperature, we show that the backscattered charge for a two-Leviton state is not equal to twice the backscattered charge for a single Leviton. We present an interpretation for this result in terms of the wave-packet formalism for Levitons, thus proposing that an effective interaction between the two Levitons is induced by the strongly-correlated background. Finally, we perform numerical calculations in the periodic case by using the Floquet formalism for photo-assisted transport. By varying the system parameters such as pulse width, filling factor and temperature we show that the value of the backscattered charge for two-Leviton states is strongly dependent on the pulse separation, thus opening scenarios where the effective interaction between Levitons can be controllably tuned. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00544 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Correlated two-Leviton states in the fractional quantum Hall regime Bertin-Johannet, Bruno Popoff, Alexandre Ronetti, Flavio Rech, Jérôme Jonckheere, Thibaut Raymond, Laurent Grémaud, Benoît Martin, Thierry Mesoscale and Nanoscale Physics Strongly Correlated Electrons We consider a two-dimensional electron system in the Laughlin sequence of the fractional quantum Hall regime to investigate the effect of strong correlations on the mutual interaction between two Levitons, single-electron excitations generated by trains of quantized Lorentzian pulses. We focus on two-Leviton states injected in a single period with a time separation $Δt$. In the presence of a quantum point contact operating in the weak-backscattering regime, we compute the backscattered charge by means of the Keldysh technique. In the limit of an infinite period and zero temperature, we show that the backscattered charge for a two-Leviton state is not equal to twice the backscattered charge for a single Leviton. We present an interpretation for this result in terms of the wave-packet formalism for Levitons, thus proposing that an effective interaction between the two Levitons is induced by the strongly-correlated background. Finally, we perform numerical calculations in the periodic case by using the Floquet formalism for photo-assisted transport. By varying the system parameters such as pulse width, filling factor and temperature we show that the value of the backscattered charge for two-Leviton states is strongly dependent on the pulse separation, thus opening scenarios where the effective interaction between Levitons can be controllably tuned. |
| title | Correlated two-Leviton states in the fractional quantum Hall regime |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2308.00544 |