Scaling of the Quantum Geometry Metrics in Disordered Topological Phases
arxiv(2024)
Abstract
We report a study of disorder-dependent quantum geometry in topological
systems. Thanks to the development of an efficient linear-scaling numerical
methodology based on the kernel polynomial method, we can explore the
nontrivial behavior of the quantum geometry metrics (quantum metric and Chern
number) in large-scale inhomogeneous systems, accounting for the presence of
disorder. We illustrate this approach in the disordered Haldane model,
examining the impact of Anderson and vacancy-type of disorders on the trivial
and topological phases captured by this model.
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