Abstract
In an accompanying paper (Sauls and Eschrig 2009 New J. Phys. 11 075008) we have studied the equilibrium properties of vortices in a chiral quasi-two-dimensional triplet superfluid/superconductor. Here we extend our studies to include the dynamical response of a vortex core in a chiral triplet superconductor to an external ac electromagnetic field. We consider in particular the response of a doubly quantized vortex with a homogeneous core in the time-reversed phase. The external frequencies are assumed to be comparable in magnitude to the superconducting gap frequency, such that the vortex motion is nonstationary but can be treated by linear response theory. We include broadening of the vortex-core bound states due to impurity scattering and consider the intermediate-clean regime, with a broadening comparable to or larger than the quantized energy level spacing. The response of the order parameter, impurity self-energy, induced fields and currents are obtained by a self-consistent calculation of the distribution functions and the excitation spectrum. Using these results we obtain the self-consistent dynamically induced charge distribution in the vicinity of the core. This charge density is related to the nonequilibrium response of the bound states and order parameter collective mode, and dominates the electromagnetic response of the vortex core.
Highlights
Gor’kov and Kopnin [4, 6] and by Larkin and Ovchinnikov [2, 5, 10, 11, 12]
This mode couples to the electro-chemical potential, δΦ, in the vortex core region. This potential is generated by the charge dynamics of vortex core states and gives rise to internal electric fields which in turn drive the current density and the order parameter near the vortex core region
For the doubly quantized vortex, the response of which is shown on the right hand side in Fig. 2, we find that the main absorption results from the regions where the two time reversed order parameter phases are overlapping
Summary
The physics of inhomogeneous metals and superconductors described by the quasiclassical approximation is governed by well defined small expansion parameters. We will assume that there is one such parameter that describes all small quantities in the system, and will assign to this parameter the notation small [68, 69, 70, 71]. The typical microscopic length scales of the problem, in short denoted by a0, are the Bohr radius aB, the Fermi wave length λf , and the Thomas-Fermi wave length λTF. The mesoscopic, superconducting length scales are the coherence length ξ0, and the penetration depth λ. The normal state density of states at the Fermi level, Nf , is of order Nf ∼ 1/Ef a30. With this notation we have the following assignments that we need to estimate the electromagnetic fields, charges and currents: small0
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