Topological indices for periodic gapped Hamiltonians and fuzzy tori

Doll N, Loring T, Schulz-Baldes H (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Mathematical Physics Analysis and Geometry Springer Verlag (Germany)

Book Volume: 28

Article Number: 13

Journal Issue: 2

DOI: 10.1007/s11040-025-09508-0

Abstract

A variety of local index formulas is constructed for gapped quantum Hamiltonians with periodic boundary conditions. All dimensions of physical space as well as many symmetry constraints are covered, notably one-dimensional systems in Class DIII as well as two- and three-dimensional systems in Class AII. The constructions are based on several periodic variations of the spectral localizer and are rooted in the existence of underlying fuzzy tori. For these latter, a general invariant theory is developed.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

Martin-Luther-Universität Halle-Wittenberg (MLU) DE Germany (DE) University of New Mexico (UNM) / Universidad de Nuevo México US United States (USA) (US)

How to cite

APA:

Doll, N., Loring, T., & Schulz-Baldes, H. (2025). Topological indices for periodic gapped Hamiltonians and fuzzy tori. Mathematical Physics Analysis and Geometry, 28(2). https://doi.org/10.1007/s11040-025-09508-0

MLA:

Doll, Nora, Terry Loring, and Hermann Schulz-Baldes. "Topological indices for periodic gapped Hamiltonians and fuzzy tori." Mathematical Physics Analysis and Geometry 28.2 (2025).

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