Computation of topological phase diagram of disordered Pb1-xSnxTe using the kernel polynomial method

Journal article (2020)

Authors

D. Varjas Kavli institute of nanoscience Delft, QuTech Advanced Research Centre, QRD/Kouwenhoven Lab - QuTech Advanced Research Centre
Michel Fruchart University of Chicago, Universiteit Leiden
A.R. Akhmerov Kavli institute of nanoscience Delft, QN/Akhmerov Group - AS
P.M. Perez Piskunow Catalan Institute of Nanoscience and Nanotechnology, Barcelona, QN/Akhmerov Group - AS , Kavli institute of nanoscience Delft
Research Group
QRD/Kouwenhoven Lab (QuTech Advanced Research Centre) (TU Delft)
Copyright: © 2020 D. Varjas, Michel Fruchart, A.R. Akhmerov, P.M. Perez Piskunow
DOI: https://doi.org/10.1103/PhysRevResearch.2.013229
More Info
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Published Date

2020

Language

English

Faculty

QuTech Advanced Research Centre

Department

Qubit Research Division

Research Group

QRD/Kouwenhoven Lab

Abstract

We present an algorithm to determine topological invariants of inhomogeneous systems, such as alloys, disordered crystals, or amorphous systems. Based on the kernel polynomial method, our algorithm allows us to study samples with more than 107 degrees of freedom. Our method enables the study of large complex compounds, where disorder is inherent to the system. We use it to analyze Pb1-xSnxTe and tighten the critical concentration for the phase transition. Moreover, we obtain the topological phase diagram for related alloys in the family of three-dimensional mirror Chern insulators.