Chiral Nonlinear σ Models as Models for Topological Superconductivity
Abstract
We study the mechanism of topological superconductivity in a hierarchical chain of chiral nonlinear σ models (models of current algebra) in one, two, and three spatial dimensions. The models illustrate how the 1D Fröhlich's ideal conductivity extends to a genuine superconductivity in dimensions higher than one. The mechanism is based on the fact that a pointlike 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.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2001
- DOI:
- 10.1103/PhysRevLett.86.1319
- arXiv:
- arXiv:hep-th/0006157
- Bibcode:
- 2001PhRvL..86.1319A
- Keywords:
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- High Energy Physics - Theory;
- Condensed Matter
- E-Print:
- 5 pages, revtex, no figures