Work

Topological transitions in a model with particle-hole symmetry, Pancharatnam-Berry curvature, and Dirac points

Year: 2014
Type: article
Abstract: We study the topology and geometry of a fermionic model on the honeycomb lattice with spin-dependent hopping which breaks the time-reversal and charge-conjugation symmetries but preserves their composition. We show that in such a case the Zak phases are topological invariants that characterize the semimetallic state at half filling and determine the edge-state structure. As the strength of the spin-dependent hopping varies, the model shows several Lifshitz transitions corresponding to creation and merging of multiple Dirac points. We discuss the possible realization of this model in cold atom systems and propose experimental signals for detecting the Dirac points and Pancharathnam-Berry curvature of the bands.
Language: English
Open Access status: green
OpenAlex ID: W2052746928
FWCI: 0.642
Cites: 40
Cited by: 8
Related to: 10