English

Inertial mass of a superconducting vortex

Superconductivity 2007-05-23 v1

Abstract

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 Ml=(me2c2/64πα2μλL4)ln(λL/ξ)M_{l} = ({\rm m}_e^2c^{2}/64{\pi}{\alpha}^{2}{\mu}{\lambda}_{L}^{4})\ln({\lambda}_{L}/{\xi}) , where me{\rm m}_{e} is the the bare electron mass, cc is the speed of light, α=e2/c1/137{\alpha}=e^{2}/{\hbar}c {\approx} 1/137 is the fine structure constant, μ{\mu} is the shear modulus of the solid, λL{\lambda}_{L} is the London penetration length and ξ{\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.

Keywords

Cite

@article{arxiv.cond-mat/0303213,
  title  = {Inertial mass of a superconducting vortex},
  author = {E. M. Chudnovsky and A. B. Kuklov},
  journal= {arXiv preprint arXiv:cond-mat/0303213},
  year   = {2007}
}

Comments

4 pages, no figures