Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/255
Title: Generalized Bloch theorem and topological characterization
Authors: Dobardžić, Edib 
Dimitrijević-Ćirić, Marija 
Milovanović, M. V.
Issue Date: 16-Mar-2015
Journal: Physical Review B - Condensed Matter and Materials Physics
Abstract: 
The Bloch theorem enables reduction of the eigenvalue problem of the single-particle Hamiltonian that commutes with the translational group. Based on a group theory analysis we present a generalization of the Bloch theorem that incorporates all additional symmetries of a crystal. The generalized Bloch theorem constrains the form of the Hamiltonian which becomes manifestly invariant under additional symmetries. In the case of isotropic interactions the generalized Bloch theorem gives a unique Hamiltonian. This Hamiltonian coincides with the Hamiltonian in the periodic gauge. In the case of anisotropic interactions the generalized Bloch theorem allows a family of Hamiltonians. Due to the continuity argument we expect that even in this case the Hamiltonian in the periodic gauge defines observables, such as Berry curvature, in the inverse space. For both cases we present examples and demonstrate that the average of the Berry curvatures of all possible Hamiltonians in the Bloch gauge is the Berry curvature in the periodic gauge.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/255
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.91.125424
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