Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-06-20
Phys.Rev.Lett. 86 (2001) 1319-1322
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, revtex, no figures
Scientific paper
10.1103/PhysRevLett.86.1319
We study the mechanism of topological superconductivity in a hierarchical chain of chiral non-linear sigma-models (models of current algebra) in one, two, and three spatial dimensions. The models have roots in the 1D Peierls-Frohlich model and illustrate how the 1D Frohlich's ideal conductivity extends to a genuine superconductivity in dimensions higher than one. The mechanism is based on the fact that a point-like topological soliton carries an electric charge. We discuss a flux quantization mechanism and show that it is essentially a generalization of the persistent current phenomenon, known in quantum wires. We also discuss why the superconducting state is stable in the presence of a weak disorder.
Abanov Alexander G.
Wiegmann Paul B.
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