Coupling, merging, and splitting Dirac points by electron-electron interaction

B. Dóra, Igor F. Herbut, R. Moessner

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The manipulation and movement of Dirac points in the Brillouin zone by the electron-electron interaction is considered within leading order perturbation theory. At the merging point, an infinitesimal interaction is shown to cause opening of the gap or splitting of the Dirac points, depending on the inter- or intrasublattice nature of the merging and the sign of the interaction. The topology of the spectrum can therefore be efficiently changed by simply tuning the interaction between particles, as opposed to the usual careful band structure engineering. This is illustrated around the merging transition of one, two, and three dimensional Dirac-Weyl fermions. A simple Weyl-like Hamiltonian that describes the quadratic band crossing in three dimensions is also proposed, and its stability under interactions is addressed.

Original languageEnglish
Article number075126
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume88
Issue number7
DOIs
Publication statusPublished - Aug 15 2013

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Electron-electron interactions
Merging
electron scattering
Hamiltonians
electrons
Fermions
Particle interactions
interactions
Band structure
Tuning
Brillouin zones
Topology
manipulators
topology
perturbation theory
fermions
tuning
engineering
causes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Coupling, merging, and splitting Dirac points by electron-electron interaction. / Dóra, B.; Herbut, Igor F.; Moessner, R.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 88, No. 7, 075126, 15.08.2013.

Research output: Contribution to journalArticle

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