Criticality in the Crossed Andreev Reflection of a Quantum Hall Edge
We develop a theory of the nonlocal transport of two counterpropagating ν=1 quantum Hall edges coupled via a narrow disordered superconductor. Contrary to the predictions developed for the clean case, the edge states proximitized in this way do not turn into a topological superconductor. Instead, th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2023-09-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.13.031027 |
| _version_ | 1827820338999721984 |
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| author | Vladislav D. Kurilovich Leonid I. Glazman |
| author_facet | Vladislav D. Kurilovich Leonid I. Glazman |
| author_sort | Vladislav D. Kurilovich |
| collection | DOAJ |
| description | We develop a theory of the nonlocal transport of two counterpropagating ν=1 quantum Hall edges coupled via a narrow disordered superconductor. Contrary to the predictions developed for the clean case, the edge states proximitized in this way do not turn into a topological superconductor. Instead, they are naturally tuned to the critical point between trivial and topological phases. This occurs due to the competition between tunneling processes with and without particle-hole conversion. The critical conductance is a random, sample-specific quantity with a zero average and unusual bias dependence. The negative values of conductance are relatively stable against variations of the carrier density, which may make the critical state appear as a topological one. Our results offer an interpretation of recent experiments [G.-H. Lee et al., Nat. Phys. 13, 693 (2017)NPAHAX1745-247310.1038/nphys4084; O. Gül et al., Phys. Rev. X 12, 021057 (2022)PRXHAE2160-330810.1103/PhysRevX.12.021057]. |
| first_indexed | 2024-03-12T01:27:31Z |
| format | Article |
| id | doaj.art-ab8be2a0a0df4803ac6ffb556e0ca882 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-03-12T01:27:31Z |
| publishDate | 2023-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-ab8be2a0a0df4803ac6ffb556e0ca8822023-09-12T14:54:12ZengAmerican Physical SocietyPhysical Review X2160-33082023-09-0113303102710.1103/PhysRevX.13.031027Criticality in the Crossed Andreev Reflection of a Quantum Hall EdgeVladislav D. KurilovichLeonid I. GlazmanWe develop a theory of the nonlocal transport of two counterpropagating ν=1 quantum Hall edges coupled via a narrow disordered superconductor. Contrary to the predictions developed for the clean case, the edge states proximitized in this way do not turn into a topological superconductor. Instead, they are naturally tuned to the critical point between trivial and topological phases. This occurs due to the competition between tunneling processes with and without particle-hole conversion. The critical conductance is a random, sample-specific quantity with a zero average and unusual bias dependence. The negative values of conductance are relatively stable against variations of the carrier density, which may make the critical state appear as a topological one. Our results offer an interpretation of recent experiments [G.-H. Lee et al., Nat. Phys. 13, 693 (2017)NPAHAX1745-247310.1038/nphys4084; O. Gül et al., Phys. Rev. X 12, 021057 (2022)PRXHAE2160-330810.1103/PhysRevX.12.021057].http://doi.org/10.1103/PhysRevX.13.031027 |
| spellingShingle | Vladislav D. Kurilovich Leonid I. Glazman Criticality in the Crossed Andreev Reflection of a Quantum Hall Edge Physical Review X |
| title | Criticality in the Crossed Andreev Reflection of a Quantum Hall Edge |
| title_full | Criticality in the Crossed Andreev Reflection of a Quantum Hall Edge |
| title_fullStr | Criticality in the Crossed Andreev Reflection of a Quantum Hall Edge |
| title_full_unstemmed | Criticality in the Crossed Andreev Reflection of a Quantum Hall Edge |
| title_short | Criticality in the Crossed Andreev Reflection of a Quantum Hall Edge |
| title_sort | criticality in the crossed andreev reflection of a quantum hall edge |
| url | http://doi.org/10.1103/PhysRevX.13.031027 |
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