Spectral Curves and Localization in Random Non-Hermitian Tridiagonal Matrices
| Autor: | Molinari, L. G., Lacagnina, G. N. |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | J. Phys. A: Math. Theor. 42 (2009) 395204 (9pp.) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8113/42/39/395204 |
| Popis: | Eigenvalues and eigenvectors of non-Hermitian tridiagonal periodic random matrices are studied by means of the Hatano-Nelson deformation. The deformed spectrum is annular-shaped, with inner radius measured by the complex Thouless formula. The inner bounding circle and the annular halo are stuctures that correspond to the two-arc and wings observed by Hatano and Nelson in deformed Hermitian models, and are explained in terms of localization of eigenstates via a spectral duality and the Argument principle. Comment: 5 pages, 9 figures, typographical error corrected in references |
| Databáze: | arXiv |
| Externí odkaz: |
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