Yu. Makhlin and T. Misirpashaev

*
Landau Institute for Theoretical Physics,
Kosygin St. 2, 117334 Moscow, Russia
*

**Reactive force on a moving vortex from the adiabatic
spectral flow**

JETP Lett. **62**, 83 (1995) [Pisma v ZhETF **62**, 74 (1995)]

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 *omega*_{0}
*tau*<<1 and is restricted to the adiabatic case v_{L}
k_{F} *tau*<<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'_{spec.flow}=mk^{3}_{F}/6 *pi*^{2} per
anomalous branch. The result applies at temperatures T << T_{c}. A
possible extension to temperatures close to T_{c} is suggested.