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Topological superconductivity in Landau levels

Title
Topological superconductivity in Landau levels
Authors
Jeon G.S.Jain J.K.Liu C.-X.
Ewha Authors
전건상
SCOPUS Author ID
전건상scopus
Issue Date
2019
Journal Title
Physical Review B
ISSN
2469-9950JCR Link
Citation
Physical Review B vol. 99, no. 9
Publisher
American Physical Society
Indexed
SCI; SCIE; SCOPUS WOS scopus
Document Type
Article
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 nonuniform, 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. © 2019 American Physical Society.
DOI
10.1103/PhysRevB.99.094509
Appears in Collections:
자연과학대학 > 물리학전공 > Journal papers
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