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Chiral non-linear sigma-models as models for topological superconductivity | | A.G. Abanov
; P.B. Wiegmann
; | | Date: |
20 Jun 2000 | | Journal: | Phys.Rev.Lett. 86 (2001) 1319-1322 | | Subject: | hep-th cond-mat | | Abstract: | 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. | | Source: | arXiv, hep-th/0006157 | | Services: | Forum | Review | PDF | Favorites | |
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