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A Computational Non-commutative Geometry Program for Disordered Topological InsulatorsApplications II: Topological Invariants

A Computational Non-commutative Geometry Program for Disordered Topological Insulators:... [This Chapter reports computer assisted calculations of the topological invariants for strongly disordered models of topological insulators from class A and AIII in the classification Table 1.1. The computations are based on the canonical finite-volume algorithm presented in Chap. 5. The expressions of the topological invariants involve functional calculus with discontinuous step-wise functions, hence their numerical simulations are covered by the analysis in Chap. 8, provided the discontinuities occur inside the Anderson localized spectrum. The performance and the accuracy of the algorithms will be quantified and analyzed in various ways.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Computational Non-commutative Geometry Program for Disordered Topological InsulatorsApplications II: Topological Invariants

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2017
ISBN
978-3-319-55022-0
Pages
109 –118
DOI
10.1007/978-3-319-55023-7_9
Publisher site
See Chapter on Publisher Site

Abstract

[This Chapter reports computer assisted calculations of the topological invariants for strongly disordered models of topological insulators from class A and AIII in the classification Table 1.1. The computations are based on the canonical finite-volume algorithm presented in Chap. 5. The expressions of the topological invariants involve functional calculus with discontinuous step-wise functions, hence their numerical simulations are covered by the analysis in Chap. 8, provided the discontinuities occur inside the Anderson localized spectrum. The performance and the accuracy of the algorithms will be quantified and analyzed in various ways.]

Published: Mar 18, 2017

Keywords: Clifford Algebra; Topological Insulator; Topological Invariant; Chern Number; Topological Phase

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