Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors
We study Majorana fermions bound to vortex cores in a chiral $p$-wave superconductor at temperatures non-negligible compared to the superconducting gap. Thermal occupation of Caroli de Gennes-Matricon states, below the full gap, causes the free energy difference between the two fermionic parity s...
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| Format: | Article |
| Language: | English |
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SciPost
2019-05-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.6.5.055 |
| _version_ | 1818258521145212928 |
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| author | Henrik Schou Røising, Roni Ilan, Tobias Meng, Steven H. Simon, Felix Flicker |
| author_facet | Henrik Schou Røising, Roni Ilan, Tobias Meng, Steven H. Simon, Felix Flicker |
| author_sort | Henrik Schou Røising, Roni Ilan, Tobias Meng, Steven H. Simon, Felix Flicker |
| collection | DOAJ |
| description | We study Majorana fermions bound to vortex cores in a chiral $p$-wave
superconductor at temperatures non-negligible compared to the superconducting
gap. Thermal occupation of Caroli de Gennes-Matricon states, below the full
gap, causes the free energy difference between the two fermionic parity sectors
to decay algebraically with increasing temperature. The power law acquires an
additional factor of $T^{-1}$ for each bound state thermally excited. The
zero-temperature result is exponentially recovered well below the minigap
(lowest-lying CdGM level). Our results suggest that temperatures larger than
the minigap may not be disastrous for topological quantum computation. We
discuss the prospect of precision measurements of pinning forces on vortices as
a readout scheme for Majorana qubits. |
| first_indexed | 2024-12-12T18:00:52Z |
| format | Article |
| id | doaj.art-cc100193e0b3471783d27d487d2040ab |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-12T18:00:52Z |
| publishDate | 2019-05-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-cc100193e0b3471783d27d487d2040ab2022-12-22T00:16:37ZengSciPostSciPost Physics2542-46532019-05-016505510.21468/SciPostPhys.6.5.055Finite temperature effects on Majorana bound states in chiral $p$-wave superconductorsHenrik Schou Røising, Roni Ilan, Tobias Meng, Steven H. Simon, Felix FlickerWe study Majorana fermions bound to vortex cores in a chiral $p$-wave superconductor at temperatures non-negligible compared to the superconducting gap. Thermal occupation of Caroli de Gennes-Matricon states, below the full gap, causes the free energy difference between the two fermionic parity sectors to decay algebraically with increasing temperature. The power law acquires an additional factor of $T^{-1}$ for each bound state thermally excited. The zero-temperature result is exponentially recovered well below the minigap (lowest-lying CdGM level). Our results suggest that temperatures larger than the minigap may not be disastrous for topological quantum computation. We discuss the prospect of precision measurements of pinning forces on vortices as a readout scheme for Majorana qubits.https://scipost.org/SciPostPhys.6.5.055 |
| spellingShingle | Henrik Schou Røising, Roni Ilan, Tobias Meng, Steven H. Simon, Felix Flicker Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors SciPost Physics |
| title | Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors |
| title_full | Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors |
| title_fullStr | Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors |
| title_full_unstemmed | Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors |
| title_short | Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors |
| title_sort | finite temperature effects on majorana bound states in chiral p wave superconductors |
| url | https://scipost.org/SciPostPhys.6.5.055 |
| work_keys_str_mv | AT henrikschourøisingroniilantobiasmengstevenhsimonfelixflicker finitetemperatureeffectsonmajoranaboundstatesinchiralpwavesuperconductors |