ﻻ يوجد ملخص باللغة العربية
Shortly after the Gorkovs microscopic derivation of Ginzburg-Landau model via a small order parameter expansion in BCS theory, the derivation was carried to next-to-leading order in that parameter and its spatial derivatives. The aim was to obtain a generalized Ginzburg-Landau free energy that approximates the microscopic model better. We prove that the resulting extended Ginzburg-Landau functional does not support a superconducting state since it does not have any solutions in the form of free energy minima.
Starting from H. Frohlichs second-quantized Hamiltonian for a $d$-dimensional electron gas in interaction with lattice phonons describing the quantum vibrations of a metal, we present a rigorous mathematical derivation of the superconducting state, f
Bardeen-Cooper-Schrieffer (BCS) theory describes a superconducting transition as a single critical point where the gap function or, equivalently, the order parameter vanishes uniformly in the entire system. We demonstrate that in superconductors desc
Topological pairing of composite fermions has led to remarkable ideas, such as excitations obeying non-Abelian braid statistics and topological quantum computation. We construct a $p$-wave paired Bardeen-Cooper-Schrieffer (BCS) wave function for comp
We show how multi-level BCS Hamiltonians of finite systems in the strong pairing interaction regime can be accurately approximated using multi-dimensional shifted harmonic oscillator Hamiltonians. In the Shifted Harmonic Approximation (SHA), discrete
We demonstrate the rise-and-fall of multiple pseudogaps in the Bardeen-Cooper-Schrieffer-Bose-Einstein-condensation (BCS-BEC) crossover in two-band fermionic systems having different pairing strengths in the deep band and in the shallow band. The str