Majorana and parafermion corner states from two coupled sheets of bilayer graphene
Dec 23, 20199 pages
Published in:
- Phys.Rev.Res. 2 (2020) 1, 013330,
- Phys.Rev.Research. 2 (2020) 013330
- Published: Mar 17, 2020
e-Print:
- 1912.10931 [cond-mat.mes-hall]
DOI:
- 10.1103/PhysRevResearch.2.013330 (publication)
View in:
Citations per year
Abstract: (APS)
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.References(89)
Figures(5)
- [1]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [24]
- [25]