Reactive force on a moving vortex from the adiabatic spectral flow
Makhlin Yu. G. , Misirpashaev T. Sh.
We calculate the contribution to the parameter D' from the reactive force acting on a moving vortex as a result of the spectral flow of localized gapless fermions. Our treatment is valid in the regime ω0τ<§1 and is restricted to the adiabatic case vLkFr< 1, since we use the stationary density matrix. We assume discrete equidistant fermion spectra and show that the answer is the same as that obtained by Volovik in the continuous limit, namely, D^pecnov/=mkf/6TT2 per anomalous branch. The result applies at temperatures T<TC. A possible extension to temperatures close to Tc is suggested. © 1995 American Institute of Physics.