Computation of topological phase diagram of disordered Pb_1-xSn_xTe using the kernel polynomial method

2019/05/31 by Daniel Varjas, Michel Fruchart, Anton R. Akhmerov +1 · 2 citations
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevresearch.2.013229

published as Phys. Rev. Research 2, 013229 (2020) · 4 pages + supplemental material

arxiv created 2019/09/05 · arxiv updated 2020/10/09

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 analyse Pb_1-xSn_xTe and tighten the critical concentration for the phase transition.

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