Krein signatures of transfer operators for half-space topological insulators

Schulz-Baldes H, Villegas-Blas C (2016)

Publication Language: English

Publication Type: Journal article

Publication year: 2016

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 49

Pages Range: 19pp

Journal Issue: 405201

Abstract

We propose a complementary point of view on the topological invariants of two-dimensional tight-binding models restricted to half-spaces. The transfer operators for such systems are J-unitary on a infinite dimensional Krein space (,J) and, for energies in the bulk gap, only have discrete spectrum on the unit circle. These eigenvalues have Krein inertia which can be used to define topological invariants determining the nature of the surface modes and allowing to distinguish different topological phases. This is illustrated by numerical results.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

National Autonomous University of Mexico / Universidad Nacional Autónoma de México (UNAM) MX Mexico (MX)

How to cite

APA:

Schulz-Baldes, H., & Villegas-Blas, C. (2016). Krein signatures of transfer operators for half-space topological insulators. Journal of Physics A: Mathematical and Theoretical, 49(405201), 19pp.

MLA:

Schulz-Baldes, Hermann, and Carlos Villegas-Blas. "Krein signatures of transfer operators for half-space topological insulators." Journal of Physics A: Mathematical and Theoretical 49.405201 (2016): 19pp.

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