Non-commutative Chern numbers for generic aperiodic discrete systems

DOI10.1088/1751-8121/aac093zbMath1397.82052arXiv1712.04136OpenAlexW3099375372MaRDI QIDQ4581256

Chris Bourne, Emil Prodan

Publication date: 16 August 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04136

zbMATH Keywords

aperiodic systemsindex theoremstopological insulators

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Statistical mechanics of solids (82D20) Topological field theories in quantum mechanics (81T45) Index theory for dynamical systems, Morse-Conley indices (37B30) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (13)

Topological Weaire–Thorpe models of amorphous matter ⋮ A groupoid approach to interacting fermions ⋮ Index theory and topological phases of aperiodic lattices ⋮ A general Dixmier trace formula for the density of states on open manifolds ⋮ Disordered crystals from first principles. II: Transport coefficients ⋮ Topological edge states for disordered bosonic systems ⋮ The spectral localizer for semifinite spectral triples ⋮ The \(K\)-theoretic bulk-boundary principle for dynamically patterned resonators ⋮ Localised module frames and Wannier bases from groupoid Morita equivalences ⋮ Continuous bulk and interface description of topological insulators ⋮ Bulk spectrum and K-theory for infinite-area topological quasicrystals ⋮ The spectral localizer for even index pairings ⋮ Topological lattice defects by groupoid methods and Kasparov’s KK-theory*

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