Article ; Online: Phase diagram of superconductivity in the integer quantum Hall regime.
Proceedings of the National Academy of Sciences of the United States of America
2022 Volume 119, Issue 28, Page(s) e2202948119
Abstract: An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of spin polarized ... ...
Abstract | An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of spin polarized electrons on a Hofstadter lattice with nearest-neighbor attractive interaction and solve the mean-field Bogoliubov-de Gennes equations in a self-consistent fashion, leading to gauge-invariant observables and a rich phase diagram as a function of the chemical potential, the magnetic field, and the interaction. As the strength of the attractive interaction is increased, the system first makes a transition from a quantum Hall phase to a skyrmion lattice phase that is fully gapped in the bulk but has topological chiral edge current, characterizing a topologically nontrivial state. This is followed by a vortex phase in which the vortices carrying Majorana modes form a lattice; the spectrum contains a low-energy Majorana band arising from the coupling between neighboring vortex-core Majorana modes but does not have chiral edge currents. For some parameters, a dimer vortex lattice occurs with no Majorana band. The experimental feasibility and the observable consequences of skyrmions as well as Majorana modes are indicated. |
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Language | English |
Publishing date | 2022-07-05 |
Publishing country | United States |
Document type | Journal Article |
ZDB-ID | 209104-5 |
ISSN | 1091-6490 ; 0027-8424 |
ISSN (online) | 1091-6490 |
ISSN | 0027-8424 |
DOI | 10.1073/pnas.2202948119 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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