Rotational response of superconductors: Magnetorotational isomorphism and rotation-induced vortex lattice
Egor Babaev, Boris Svistunov
DOI 10.1103/PhysRevB.89.104501 · Physical Review B
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Abstract
The analysis of nonclassical rotational response of superfluids and superconductors was performed by Onsager [Onsager, Nuovo Cimento, Suppl. 6, 279 (1949)] and London [Superfluids (Wiley, New York, 1950)] and crucially advanced by Feynman [Prog. Low Temp. Phys. 1, 17 (1955)]. It was established that, in the thermodynamic limit, neutral superfluids rotate by forming—without any threshold—a vortex lattice. In contrast, the rotation of superconductors at angular frequency Ω—supported by uniform magnetic field BL∝Ω due to surface currents—is of the rigid-body type (London law). Here we show that, neglecting the centrifugal effects, the behavior of a rotating superconductor is identical to that of a superconductor placed in a uniform fictitious external magnetic field H̃=−BL. In particular, the isomorphism immediately implies the existence of two critical rotational frequencies in type-2 superconductors.
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