Counting Majorana zero modes in superconductors
arXiv:1011.1007 · doi:10.1103/PhysRevB.83.104522
Abstract
A counting formula for computing the number of (Majorana) zero modes bound to topological point defects is evaluated in a gradient expansion for systems with charge-conjugation symmetry. This semi-classical counting of zero modes is applied to some examples that include graphene and a chiral p-wave superconductor in two-dimensional space. In all cases, we explicitly relate the counting of zero modes to Chern numbers.
21 pages, 3 figures
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Cited by in corpus (22)
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- Extended Kitaev chain with longer-range hopping and pairing
- Bosonic Anomalies, Induced Fractional Quantum Numbers and Degenerate Zero Modes: the anomalous edge physics of Symmetry-Protected Topological States
- Fractional Fermions with Non-Abelian Statistics
- Anderson localization and the topology of classifying spaces
- Topological Edge States and Fractional Quantum Hall Effect from Umklapp Scattering
- Zeeman-field-induced nontrivial topological phases in a one-dimensional spin-orbit-coupled dimerized lattice
- Unification of topological invariants in Dirac models
- Exceptional points for chiral Majorana fermions in arbitrary dimensions
- Non-Abelian toplogical superconductors from topological semimetals and related systems under superconducting proximity effect
- Non-Abelian statistics versus the Witten anomaly
- Anyons in integer quantum Hall magnets
- Symmetry-protected localized states at defects in non-Hermitian systems
- Exceptional point description of one-dimensional chiral topological superconductors/superfluids in BDI class
- Index theorem for topological heterostructure systems
- Magnetic Flux Response of Non-Hermitian Topological Phases
- A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model
- Skyrmion quantum numbers and quantized pumping in two dimensional topological chiral magnets
- Counting Majorana bound states using complex momenta
- Nested Defects on the Boundary of Topological Superconductors