期刊
JOURNAL OF STATISTICAL PHYSICS
卷 174, 期 1, 页码 28-39出版社
SPRINGER
DOI: 10.1007/s10955-018-2177-8
关键词
Toeplitz matrices; Szego-Widom theorem; Casimir forces; Topological superconductors
资金
- A*MIDEX Project - French program Investissements d'Avenir [ANR-11-IDEX-0001-02]
The Szego-Widom theorem provides an expression for the determinant of block Toeplitz matrices in the asymptotic limit of large matrix dimension n. We show that the presence of zero modes, i.e, eigenvalues that vanish as n, ||<1, when n, requires a modification of the Szego-Widom theorem. A new asymptotic expression for the determinant of a certain class of block Toeplitz matrices with one pair of zero modes is derived. The result is inspired by one-dimensional topological superconductors, and the relation with the latter systems is discussed.
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