Journal
PHYSICAL REVIEW RESEARCH
Volume 2, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.2.013330
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Funding
- Swiss National Science Foundation
- NCCR QSIT
- European Unions Horizon 2020 research and innovation program (ERC) [757725]
- European Research Council (ERC) [757725] Funding Source: European Research Council (ERC)
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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 //(2m) parafermion corner states, where m is an odd integer determined by the position of the chemical potential.
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