Topological superconductivity in Landau levels
Abstract
The intense search for topological superconductivity is inspired by the prospect that it hosts Majorana quasiparticles. We explore in this work the optimal design for producing topological superconductivity by combining a quantum Hall state with an ordinary superconductor. To this end, we consider a microscopic model for a topologically trivial two-dimensional p-wave superconductor exposed to a magnetic field, and find that the interplay of superconductivity and Landau level physics yields a rich phase diagram of states as a function of μ/t and Δ/t, where μ, t and Δ are the chemical potential, hopping strength, and the amplitude of the superconducting gap. In addition to quantum Hall states and topologically trivial p-wave superconductor, the phase diagram also accommodates regions of topological superconductivity. Most importantly, we find that application of a non-uniform, periodic magnetic field produced by a square or a hexagonal lattice of h/e fluxoids greatly facilitates regions of topological superconductivity in the limit of Δ/t → 0. In contrast, a uniform magnetic field, a hexagonal Abrikosov lattice of h/2e fluxoids, or a one dimensional lattice of stripes produces topological superconductivity only for sufficiently large Δ/t.
- Authors:
-
- Pennsylvania State Univ., University Park, PA (United States); Ewha Womans Univ., Seoul (Korea)
- Pennsylvania State Univ., University Park, PA (United States)
- Publication Date:
- Research Org.:
- Pennsylvania State Univ., University Park, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Research Foundation of Korea (NRF)
- OSTI Identifier:
- 1606389
- Alternate Identifier(s):
- OSTI ID: 1546340
- Grant/Contract Number:
- SC0005042; N00014-15-1-2675; NRF- 2018R1D1A1B07048749
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 9; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; topological superconductivity; Landau levels
Citation Formats
Jeon, Gun Sang, Jain, J. K., and Liu, C. -X. Topological superconductivity in Landau levels. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.094509.
Jeon, Gun Sang, Jain, J. K., & Liu, C. -X. Topological superconductivity in Landau levels. United States. https://doi.org/10.1103/PhysRevB.99.094509
Jeon, Gun Sang, Jain, J. K., and Liu, C. -X. Tue .
"Topological superconductivity in Landau levels". United States. https://doi.org/10.1103/PhysRevB.99.094509. https://www.osti.gov/servlets/purl/1606389.
@article{osti_1606389,
title = {Topological superconductivity in Landau levels},
author = {Jeon, Gun Sang and Jain, J. K. and Liu, C. -X.},
abstractNote = {The intense search for topological superconductivity is inspired by the prospect that it hosts Majorana quasiparticles. We explore in this work the optimal design for producing topological superconductivity by combining a quantum Hall state with an ordinary superconductor. To this end, we consider a microscopic model for a topologically trivial two-dimensional p-wave superconductor exposed to a magnetic field, and find that the interplay of superconductivity and Landau level physics yields a rich phase diagram of states as a function of μ/t and Δ/t, where μ, t and Δ are the chemical potential, hopping strength, and the amplitude of the superconducting gap. In addition to quantum Hall states and topologically trivial p-wave superconductor, the phase diagram also accommodates regions of topological superconductivity. Most importantly, we find that application of a non-uniform, periodic magnetic field produced by a square or a hexagonal lattice of h/e fluxoids greatly facilitates regions of topological superconductivity in the limit of Δ/t → 0. In contrast, a uniform magnetic field, a hexagonal Abrikosov lattice of h/2e fluxoids, or a one dimensional lattice of stripes produces topological superconductivity only for sufficiently large Δ/t.},
doi = {10.1103/PhysRevB.99.094509},
journal = {Physical Review B},
number = 9,
volume = 99,
place = {United States},
year = {Tue Mar 12 00:00:00 EDT 2019},
month = {Tue Mar 12 00:00:00 EDT 2019}
}
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