Vortex Cores Of Superconductors Research Articles

Quantum Turbulence and Planckian Dissipation

The notion of the Planckian dissipation is extended to the system of the Caroli–de Gennes–Matricon discrete energy levels in the vortex core of superconductors and fermionic superfluids. In this extension, the Planck dissipation takes place when the relaxation time τ is comparable with the quantum Heisenberg time {{t}_{H}} = hbar {text{/}}Delta E, where Delta E is the interlevel distance in the vortex core (the minigap). This type of Planck dissipation has two important physical consequences. First, it determines the regime, when the effect of the axial anomaly becomes important. The anomalous spectral flow of the energy levels along the chiral branch of the Caroli–de Gennes–Matricon states becomes important in the super-Planckian region, i.e., when tau < hbar {text{/}}Delta E. Second, the Planck dissipation separates the laminar flow of the superfluid liquid at tau < hbar {text{/}}Delta E and the vortex turbulence regime at tau > hbar {text{/}}Delta E.

Analytical Formulation of the Local Density of States around a Vortex Core in Unconventional Superconductors

On the basis of the quasiclassical theory of superconductivity, we obtain a formula for the local density of states (LDOS) around a vortex core of superconductors with anisotropic pair-potential and Fermi surface in arbitrary directions of magnetic fields. Earlier results on the LDOS of d -wave superconductors and NbSe 2 are naturally interpreted within our theory geometrically; the region with high intensity of the LDOS observed in numerical calculations turns out to the enveloping curve of the trajectory of Andreev bound states. We discuss experimental results on YNi 2 B 2 C within the quasiclassical theory of superconductivity.