TY - JOUR
T1 - Computation of topological phase diagram of disordered Pb1-xSnxTe using the kernel polynomial method
AU - Varjas, Dániel
AU - Fruchart, Michel
AU - Akhmerov, Anton R.
AU - Perez-Piskunow, Pablo M.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85094042054&partnerID=8YFLogxK
U2 - 10.1103/PhysRevResearch.2.013229
DO - 10.1103/PhysRevResearch.2.013229
M3 - Article
AN - SCOPUS:85094042054
SN - 2643-1564
VL - 2
JO - Physical Review Research
JF - Physical Review Research
IS - 1
M1 - 013229
ER -