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- W3104196303 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 $mathbb{Z}_{2m}$ parafermion corner states, where $m$ is an odd integer determined by the position of the chemical potential." @default.
- W3104196303 created "2020-11-23" @default.
- W3104196303 creator A5010879789 @default.
- W3104196303 creator A5028888500 @default.
- W3104196303 creator A5041982379 @default.
- W3104196303 date "2020-03-17" @default.
- W3104196303 modified "2023-09-30" @default.
- W3104196303 title "Majorana and parafermion corner states from two coupled sheets of bilayer graphene" @default.
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- W3104196303 doi "https://doi.org/10.1103/physrevresearch.2.013330" @default.
- W3104196303 hasPublicationYear "2020" @default.
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