Topological Classification of Insulators: I. Non-interacting Spectrally-Gapped One-Dimensional Systems

JH Chung, J Shapiro - arxiv preprint arxiv:2306.00268, 2023 - arxiv.org
We study non-interacting electrons in disordered one-dimensional materials which exhibit a
spectral gap, in each of the ten Altland-Zirnbauer symmetry classes. We define an …

Introduction to the special collection: International congress on mathematical physics 2021

A Alekseev, B Schlein, H Spohn - Journal of Mathematical Physics, 2023 - pubs.aip.org
The International Congress on Mathematical Physics (ICMP) is the most important
conference organised by the International Association of Mathematical Physics (IAMP). It …

Exponential decay of the critical points in a discrete model of polyacetylene

D Gontier, AEK Kouande, É Séré - Nonlinearity, 2024 - iopscience.iop.org
In this paper we consider stationary states of the SSH model for infinite polyacetylene chains
that are homoclinic or heteroclinic connections between two-periodic dimerized states. We …

A Z2 invariant for chiral and particle–hole symmetric topological chains

D Monaco, G Peluso - Journal of Mathematical Physics, 2023 - pubs.aip.org
We define a Z2-valued topological and gauge invariant associated with any one-
dimensional, translation-invariant topological insulator that satisfies either particle–hole …

Étude mathématique de l'instabilité de Peierls dans le modèle discret du polyacétylène

AEK Kouande - 2023 - theses.hal.science
Cette thèse présente une étude mathématique et numérique de l'instabilité de Peierls dans
le modèle discret du polyacétylène. Nous commençons par présenter le cadre général de …