Work

High-root topological edge-state bands

Year: 2025

Type: article

Abstract: This paper presents a complex band analysis of one-dimensional (1D) square and high-root topological insulators (HRTIs). We show that edge-state bands of HRTIs are sliced sections of impurity bands of a uniform tight-binding chain. A simplified topological characterization of HRTIs with generalized boundary conditions is carried out based on the existence of edge-state bands in the infinite HRTI and the restrictions imposed by the boundary conditions. Edge states in finite or semi-infinite 1D HRTIs are shown to be a subset of evanescent states of the infinite system and mapped onto impurity states of the uniform chain with effective energy-dependent edge potentials. The latter result allows the determination of the edge-state levels without needing the diagonalization of real space or bulk Hamiltonians.

Source: Physical review. B./Physical review. B

DOI: 10.1103/nf7r-9wb6

Authors: R. G. Dias, L. Madail, A. M. Marques

Institutions: University of Aveiro, International Iberian Nanotechnology Laboratory

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Ministério da Educação e Ciência, Fundação para a Ciência e a Tecnologia

Award: G7538634157