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

Daniel Varjas, Michel Fruchart, Anton R. Akhmerov, Pablo Perez-Piskunow
2019 arXiv   pre-print
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 10^7 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.
arXiv:1905.02215v2 fatcat:uxdagcv2zfcr3hxhsxnks6rjaq