Effective Vortex Mass from Microscopic Theory

Abstract

We calculate the effective mass of a single quantized vortex in the BCS superconductor at finite temperature. Based on effective action approach, we arrive at the effective mass of a vortex as integral of the spectral function $J(\omega )$ divided by ${\omega }^3$ over frequency. The spectral function is given in terms of the quantum-mechanical transition elements of the gradient of the Hamiltonian between two Bogoliubov-deGennes (BdG) eigenstates. Based on self-consistent numerical diagonalization of the BdG equation we find that the effective mass per unit length of vortex at zero temperature is of order $m(k_f{\xi }_0{)}^2$ ($k_f$=Fermi momentum, ${\xi }_0$=coherence length), essentially equaling the electron mass displaced within the coherence length from the vortex core. Transitions between the core states are responsible for most of the mass. The mass reaches a maximum value at $T\approx 0.5T_c$ and decreases continuously to zero at $T_c$.

Supercedes prior version, cond-mat/9903125

References in corpus (6)

• Low-lying Quasiparticle Excitations around a Vortex Core in Quantum Limit
• Dynamic vortex mass in clean Fermi superfluids and superconductors
• Frequency dependent conductivity of vortex cores in type II superconductors
• Microscopic theory of vortex dynamics in homogeneous superconductors
• Inertial Mass of a Vortex in Cuprate Superconductors
• Vortex Dynamics within the BCS Theory

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• Influence of the quantum zero-point motion of a vortex on the electronic spectra of s-wave superconductors
• Perspective on the Vortex Mass Determination in Superconductors using Circular Dichroism
• Mutual friction in helium II: a microscopic approach
• Dynamics of edge Majorana fermions in $\nu =\frac{5}{2}$ fractional quantum Hall effects
• Vortex pseudomomentum and dissipation in a superfluid vortex lattice