Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
Shingo Kobayashi, Akira Furusaki
DOI 10.1103/PhysRevB.102.180505 · Physical Review B
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Abstract
The interplay of time-reversal and n-fold rotation symmetries (n=2,4,6) is known to bring a new class of topological crystalline insulators (TCIs) having n surface Dirac cones due to a surface rotation anomaly. We show that the proximity-induced s-wave superconductivity on the surface of these TCIs yields a topological superconducting phase in which two Majorana zero modes are bound to a vortex, and that n-fold rotation symmetry (n=2,4,6) enriches the topological classification of a superconducting vortex from Z2 to Z2×Z2. Using a model of a three-dimensional high-spin topological insulator with s-wave superconductivity and twofold rotation symmetry, we show that, with increasing chemical potential, the number of Majorana zero modes at one end of a vortex changes as 2→1→0 through two topological vortex phase transitions. In addition, we show that additional magnetic-mirror symmetry further enhances the topological classification to Z×Z.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Bi2Te3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| SnTe Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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