Computation of topological phase diagram of disordered Pb1-xSnxTe using the kernel polynomial method
Dániel Varjas (TU Delft - QRD/Kouwenhoven Lab, TU Delft - QuTech Advanced Research Centre, Kavli institute of nanoscience Delft)
Michel Fruchart (University of Chicago, Universiteit Leiden)
Anton R. Akhmerov (Kavli institute of nanoscience Delft, TU Delft - Applied Sciences)
Pablo M. Perez-Piskunow (Kavli institute of nanoscience Delft, Catalan Institute of Nanoscience and Nanotechnology, Barcelona, TU Delft - Applied Sciences)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
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.
help_outline