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Majorana and parafermion corner states from two coupled sheets of bilayer graphene

Laubscher, Katharina and Loss, Daniel and Klinovaja, Jelena. (2020) Majorana and parafermion corner states from two coupled sheets of bilayer graphene. Physical Review Research, 2 (1). 013330.

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Official URL: https://edoc.unibas.ch/80700/

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Abstract

We consider a setup consisting of two coupled sheets of bilayer graphene in the regime of strong spin-orbit interaction, where electrostatic confinement is used to create an array of effective quantum wires. We show that for suitable interwire couplings the system supports a topological insulator phase exhibiting Kramers partners of gapless helical edge states, while the additional presence of a small in-plane magnetic field and weak proximity-induced superconductivity leads to the emergence of zero-energy Majorana corner states at all four corners of a rectangular sample, indicating the transition to a second-order topological superconducting phase. The presence of strong electron-electron interactions is shown to promote the above phases to their exotic fractional counterparts. In particular, we find that the system supports a fractional topological insulator phase exhibiting fractionally charged gapless edge states and a fractional second-order topological superconducting phase exhibiting zero-energy Z2m parafermion corner states, where m is an odd integer determined by the position of the chemical potential.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretical Nano/Quantum Physics (Klinovaja)
UniBasel Contributors:Klinovaja, Jelena
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
e-ISSN:2643-1564
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:20 Apr 2021 15:33
Deposited On:20 Apr 2021 14:58

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