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20092026
most citedOn the K-theoretic classification of topological phases of matter

80 citations · 480 across the 35 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math-ph2023

Quantization of conductance and the coarse cohomology of partitions

Matthias Ludewig, Guo Chuan Thiang

We demonstrate how integer quantization of Hall conductance arises from the large-scale geometry of the sample. Specifically, the Hall conductance is a higher-trace pairing of the…

math-ph2023★ 5 cited

Topological edge states of 1D chains and index theory

Guo Chuan Thiang

We provide an elementary proof and refinement of a well-known idea from physics: a chiral-symmetric local Hamiltonian on a half-space has the same signed number of edge-localized s…