Inertial mass of a superconducting vortex

Details Inertial mass of a superconducting vortex Inertial mass of a superconducting vortex

2003-03-11

arxiv.org/abs/cond-mat/0303213v1

Physics

Condensed Matter

Superconductivity

4 pages, no figures

Scientific paper

We show that a large contribution to the inertial mass of a moving superconducting vortex comes from transversal displacements of the crystal lattice. The corresponding part of the mass per unit length of the vortex line is $M_{l} = ({\rm m}_e^2c^{2}/64{\pi}{\alpha}^{2}{\mu}{\lambda}_{L}^{4})\ln({\lambda}_{L}/{\xi})$ , where ${\rm m}_{e}$ is the the bare electron mass, $c$ is the speed of light, ${\alpha}=e^{2}/{\hbar}c {\approx} 1/137$ is the fine structure constant, ${\mu}$ is the shear modulus of the solid, ${\lambda}_{L}$ is the London penetration length and ${\xi}$ is the coherence length. In conventional superconductors, this mass can be comparable to or even greater than the vortex core mass computed by Suhl.

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