Effective Mass of a Vortex in a Clean Superconductor
Abstract
We calculate the effective mass of a single quantized vortex in the BCS superconductor at finite temperature. Using the effective action for a vortex, we arrive at the mass formula as the integral of the spectral function $J(\omega)/\omega^3$ over frequency. The spectral function is given in terms of the transition elements of the gradient of the Hamiltonian between BogoliubovdeGennes eigenstates. We show that corecore, and coreextended transitions yield the vortex mass, near T=0, of order of electron mass displaced by the normal core. The extendedextended states contributions are linearly divergent with the low frequency cutoff $\omega_c$, in accordance with the Ohmic character of the spectral function at low energies. We argue that the mass and friction are closely related in this system and arise from the same mechanism  interaction with the surrounding fermionic degrees of freedom.
 Publication:

arXiv eprints
 Pub Date:
 March 1999
 arXiv:
 arXiv:condmat/9903125
 Bibcode:
 1999cond.mat..3125H
 Keywords:

 Superconductivity