Size Effects in the Ginzburg-Landau Theory
arXiv:1504.05867 · doi:10.1016/j.ssc.2014.11.009
Abstract
The Ginzburg-Landau theory is analyzed in the case of small dimension superconductors, a couple of orders of magnitude above the coherence length, where the theory is still valid but quantum fluctuations become significant. In this regime, the potential around the expectation value is approximated to a quadratic behavior, and the ground-state derived from the Klein-Gordon solutions of the Higgs-like field. The ground-state energy is directly compared to the condensation energy, and used to extract new limits on the size of superconductors at zero Kelvin and near the critical temperature.
arXiv comment4 pages, 1 figure
References in corpus (8)
- Size Dependent Breakdown of Superconductivity in Ultranarrow Nanowires
- What limits supercurrents in high temperature superconductors? A microscopic model of cuprate grain boundaries
- Meissner effect, diamagnetism, and classical physics - a review
- Vortex Origin of Tricritical Point in Ginzburg-Landau Theory
- Electrodynamics of Perfect Conductors
- Tricritical Point in Quantum Phase Transitions of the Coleman-Weinberg Model at Higgs Mass
- Gauge Invariance and Spontaneous Symmetry Breaking in Two-Gap Superconductors
- Phenomenological correlations in high-temperature superconductors