In these notes, we review the role of Berry phases and topology in noninteracting electron systems. Topics including the adiabatic theorem, parallel transport, and Wannier functions are reviewed, with a focus on the connection to topological insulators.
Cited by 4
Aligia, Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
Phys. Rev. B 107, 075153 (2023) [Crossref]
Gupta et al., Wannier-function methods for topological modes in one-dimensional photonic crystals
Phys. Rev. A 105, 053521 (2022) [Crossref]
Sergeev, Topological insulators and geometry of vector bundles
SciPost Phys. Lect. Notes, 67 (2023) [Crossref]
Segura et al., Charge and spin gaps in the ionic Hubbard model with density-dependent hopping
Phys. Rev. B 108, 195135 (2023) [Crossref]
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Barry Bradlyn,
- 2 3 Mikel Iraola