Abstract
The charging effect of a superconducting vortex core is very important for transport properties of superconducting vortices. The chiral p-wave superconductor, known as a topological superconductor (SC), has a Majorana fermion in a vortex core and the charging effect has been studied using microscopic Bogoliubov{de Gennes (BdG) theory. According to calculations based on the BdG theory, one type of the vortex is charged as well as the vortex of the s-wave SC, while the other is uncharged. We reproduce this interesting charging effect using an augmented quasiclassical theory in chiral p-wave SCs, by which we can deal with particle-hole asymmetry in the quasiclassical approximation.
Highlights
Electronic bound states in a superconducting vortex core, which is called the Caroli–de Gennes– Matricon (CdGM) mode [1] or Andreev bound state [2, 3], cause a lot of fascinating phenomena
The disorder-scattering bound states result in the viscous flow of the vortex, while the particle-hole asymmetry of the CdGM mode as well as other origins of the particle-hole asymmetry leads to the Hall effect of the flux flow states [4, 5, 6]
The charging effect of the vortex core is another consequence of the particle–hole asymmetry of the CdGM mode
Summary
Electronic bound states in a superconducting vortex core, which is called the Caroli–de Gennes– Matricon (CdGM) mode [1] or Andreev bound state [2, 3], cause a lot of fascinating phenomena. Gor’kov equations for the above phase transformed Green’s function up to the second order in the gradient expansion (ii) Subtract the right equation from the left equation (iii) Integrate the obtained equation along the above contour with the approximation that the momentum dependence of the self energy and pair potential terms can be treated by considering only the. Note that if we do the phase transformation involved with the scalar potential, in the Keldysh formalism, we do not have the scalar potential explicitly in the charge density, instead we have the electric field term in the Eilenberger equation [6, 31]. The second term in the left-hand side describes the screening effect First we solve this Poisson equation through the perturbative Green’s function, we obtain the charge density from Eq (14) or (15)
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