Merging of Dirac points in a two-dimensional crystal

Details Merging of Dirac points in a two-dimensional crystal Merging of Dirac points in a two-dimensional crystal

2009-04-14

arxiv.org/abs/0904.2117v2

Phys. Rev. B 80, 153412 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures,

Scientific paper

10.1103/PhysRevB.80.153412

We study under which general conditions a pair of Dirac points in the electronic spectrum of a two-dimensional crystal may merge into a single one. The merging signals a topological transition between a semi-metallic phase and a band insulator. We derive a universal Hamiltonian that describes the physical properties of the transition, which is controlled by a single parameter, and analyze the Landau-level spectrum in its vicinity. This merging may be observed in the organic salt alpha-(BEDT-TTF)_2 I_3 or in an optical lattice of cold atoms simulating deformed graphene.

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