作者: Alejandro Adem , Gordon W. Semenoff , Daniel Sheinbaum
DOI:
关键词: Physics 、 Interpretation (model theory) 、 Fermi Gamma-ray Space Telescope 、 Homogeneous space 、 Adiabatic process 、 Spectral flow 、 Topology 、 Topology (chemistry) 、 Chiral anomaly 、 Brillouin zone
摘要: We derive a classification of topologically stable Fermi surfaces non-interacting, discrete translation-invariant systems from electronic band theory, adiabatic evolution and their topological interpretations. This derivation is rigorously compatible with $\mathit{K}$-theory. Given the Brillouin zone $\mathrm{X}$ our $d$-dimensional system, result implies that different classes belong in $\mathit{K^{-1}}\mathrm{(X)}$ for only translation-invariance. has chiral anomaly interpretation, as it reduces to spectral flow one dimensional systems. further show discuss some connections between symmetries other variants $\mathit{K}$-theory, together corresponding quantum interpretation.