Schulz-Baldes H (2016)
Publication Language: English
Publication Type: Journal article
Publication year: 2016
Publisher: Springer Verlag
Book Volume: 118
Pages Range: 247–273
Topological insulators are solid state systems of independent electrons for which the Fermi level lies in a mobility gap, but the Fermi projection is nevertheless topologically non-trivial, namely it cannot be deformed into that of a normal insulator. This non-trivial topology is encoded in adequately defined invariants and implies the existence of surface states that are not susceptible to Anderson localization. This non-technical review reports on recent progress in the understanding of the underlying mathematical structures, with a particular focus on index theory.
APA:
Schulz-Baldes, H. (2016). Topological insulators from the perspective of non-commutative geometry and index theory. Jahresbericht der deutschen Mathematiker-Vereinigung, 118, 247–273.
MLA:
Schulz-Baldes, Hermann. "Topological insulators from the perspective of non-commutative geometry and index theory." Jahresbericht der deutschen Mathematiker-Vereinigung 118 (2016): 247–273.
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