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

Dániel Varjas, Michel Fruchart, Anton R. Akhmerov, Pablo M. Perez-Piskunow

Research output: Contribution to journalArticleScientificpeer-review

21 Citations (Scopus)
55 Downloads (Pure)

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.

Original languageEnglish
Article number013229
Number of pages11
JournalPhysical Review Research
Volume2
Issue number1
DOIs
Publication statusPublished - 2020

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