Superconductivity on a Möbius strip: Numerical studies of order parameter and quasiparticles
Masahiko Hayashi, Hiromichi Ebisawa, Kazuhiro Kuboki
DOI 10.1103/PhysRevB.72.024505 · Physical Review B
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Abstract
Superconducting states of an anisotropic s-wave superconductor on a Möbius strip are studied numerically based on the Ginzburg-Landau theory and the Bogoliubov–de Gennes theory. In both, the equations are solved numerically on discretized lattice and the nonlinearity and the self-consistency are fully taken into account. First, we study the superconducting states on the Möbius strip in the presence of the Aharonov-Bohm flux threading the ring by employing the Ginzburg-Landau theory, and confirm the phase diagram previously proposed by Hayashi and Ebisawa [J. Phys. Soc. Jpn. 70, 3495 (2002)]. The metastable states as well as the equilibrium state are studied and the nonequilibrium processes when the magnetic field is varied at a fixed temperature are discussed. Next, we study the microscopic superconducting states on the Möbius strip based on the Bogoliubov–de Gennes theory, especially focusing on the state with a real-space node in the superconducting gap, which is expected to appear when the flux threading the ring is close to a half-odd integer times the superconducting flux quantum. The local density of states in this nodal state is calculated in detail and the existence of the zero-energy bound states is shown.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| NbSe3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| TaS3 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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