Computation of topological phase diagram of disordered Pb$_{1-x}$Sn$_{x}$Te using the kernel polynomial method
Mesoscale and Nanoscale Physics
2020-10-09 v2 Disordered Systems and Neural Networks
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 degrees of freedom. Our method enables the study of large complex compounds, where disorder is inherent to the system. We use it to analyse PbSnTe and tighten the critical concentration for the phase transition.
Keywords
Cite
@article{arxiv.1905.02215,
title = {Computation of topological phase diagram of disordered Pb$_{1-x}$Sn$_{x}$Te using the kernel polynomial method},
author = {Daniel Varjas and Michel Fruchart and Anton R. Akhmerov and Pablo M. Perez-Piskunow},
journal= {arXiv preprint arXiv:1905.02215},
year = {2020}
}
Comments
4 pages + supplemental material