Nonlinear electric response of chiral topological superconductors
We investigate, in the non-equilibrium Keldysh frame, a topological resistor–capacitor (RC) circuit consisting of a quantum dot coupled to a Majorana edge mode formed around a chiral topological superconductor. We implement both the adiabatic approximation and the numerical exact calculations to fin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/abd8c1 |
| _version_ | 1797750216858796032 |
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| author | Minchul Lee Rosa Lόpez |
| author_facet | Minchul Lee Rosa Lόpez |
| author_sort | Minchul Lee |
| collection | DOAJ |
| description | We investigate, in the non-equilibrium Keldysh frame, a topological resistor–capacitor (RC) circuit consisting of a quantum dot coupled to a Majorana edge mode formed around a chiral topological superconductor. We implement both the adiabatic approximation and the numerical exact calculations to find out the unique non-equilibrium features of the electric response of the dissipative Majorana channel. First, the dependence of the dissipation on the frequency Ω of the ac driving on the dot is found to be greatly different whether the time-dependent dot level crosses the Fermi level or not during the driving. In the latter case, the relaxation resistance R _q , the measure of the dissipation, obeys R _q ∝ Ω ^2 for small frequencies, and in the former case, R _q ∝ Ω ^−1/3 diverges as Ω → 0. In the former case, a universal scaling law for the dissipative part of the ac power is observed and attributed to the δ -peak in the dot density of states due to a uncoupled dot Majorana mode at the dot resonance condition. We compare the ac power, current, and the relaxation resistance between Majorana and trivial Dirac channels and clarify the Majorana nature in the dissipation. |
| first_indexed | 2024-03-12T16:30:28Z |
| format | Article |
| id | doaj.art-60681a3b270a43dd834bdd14088fa6ed |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:30:28Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-60681a3b270a43dd834bdd14088fa6ed2023-08-08T15:32:06ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123404300910.1088/1367-2630/abd8c1Nonlinear electric response of chiral topological superconductorsMinchul Lee0Rosa Lόpez1Department of Applied Physics and Institute of Natural Science, College of Applied Science, Kyung Hee University , Yongin 17104, Republic of KoreaInstitut de Física Interdisciplinària i de Sistemes Complexos IFISC (CSIC-UIB) , E-07122 Palma de Mallorca, SpainWe investigate, in the non-equilibrium Keldysh frame, a topological resistor–capacitor (RC) circuit consisting of a quantum dot coupled to a Majorana edge mode formed around a chiral topological superconductor. We implement both the adiabatic approximation and the numerical exact calculations to find out the unique non-equilibrium features of the electric response of the dissipative Majorana channel. First, the dependence of the dissipation on the frequency Ω of the ac driving on the dot is found to be greatly different whether the time-dependent dot level crosses the Fermi level or not during the driving. In the latter case, the relaxation resistance R _q , the measure of the dissipation, obeys R _q ∝ Ω ^2 for small frequencies, and in the former case, R _q ∝ Ω ^−1/3 diverges as Ω → 0. In the former case, a universal scaling law for the dissipative part of the ac power is observed and attributed to the δ -peak in the dot density of states due to a uncoupled dot Majorana mode at the dot resonance condition. We compare the ac power, current, and the relaxation resistance between Majorana and trivial Dirac channels and clarify the Majorana nature in the dissipation.https://doi.org/10.1088/1367-2630/abd8c1topological systemsquantum dotstime-dependent transportdissipation |
| spellingShingle | Minchul Lee Rosa Lόpez Nonlinear electric response of chiral topological superconductors New Journal of Physics topological systems quantum dots time-dependent transport dissipation |
| title | Nonlinear electric response of chiral topological superconductors |
| title_full | Nonlinear electric response of chiral topological superconductors |
| title_fullStr | Nonlinear electric response of chiral topological superconductors |
| title_full_unstemmed | Nonlinear electric response of chiral topological superconductors |
| title_short | Nonlinear electric response of chiral topological superconductors |
| title_sort | nonlinear electric response of chiral topological superconductors |
| topic | topological systems quantum dots time-dependent transport dissipation |
| url | https://doi.org/10.1088/1367-2630/abd8c1 |
| work_keys_str_mv | AT minchullee nonlinearelectricresponseofchiraltopologicalsuperconductors AT rosalopez nonlinearelectricresponseofchiraltopologicalsuperconductors |