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Topological superconductivity in Landau levels
- Topological superconductivity in Landau levels
- Jeon, Gun Sang; Jain, J. K.; Liu, C. -X.
- Ewha Authors
- SCOPUS Author ID
- Issue Date
- Journal Title
- PHYSICAL REVIEW B
- PHYSICAL REVIEW B vol. 99, no. 9
- AMER PHYSICAL SOC
- SCI; SCIE; SCOPUS
- Document Type
- 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 mu/t and Delta/t, where mu, t, and Delta 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 Delta/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 Delta/t.
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