Monte-Carlo study of Dirac semimetals phase diagram
arXiv:1608.07162 · doi:10.1103/PhysRevB.94.205147
Abstract
In this paper the phase diagram of Dirac semimetals is studied within lattice Monte-Carlo simulation. In particular, we concentrate on the dynamical chiral symmetry breaking which results in semimetal/insulator transition. Using numerical simulation we determined the values of the critical coupling constant of the semimetal/insulator transition for different values of the anisotropy of the Fermi velocity. This measurement allowed us to draw tentative phase diagram for Dirac semimetals. It turns out that within the Dirac model with Coulomb interaction both NaBi and CdAs known experimentally to be Dirac semimetals would lie deeply in the insulating region of the phase diagram. It probably shows a decisive role of screening of the interelectron interaction in real materials, similar to the situation in graphene.
arXiv comment5 pages, 5 figures
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- Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
- Excitonic mass gap in uniaxially strained graphene
- Emergent chiral symmetry in a three-dimensional interacting Dirac liquid
- Resistivity Exponents in 3D-Dirac Semimetals From Electron-Electron Interaction
- Lattice Quantum Monte Carlo Study of Chiral Magnetic Effect in Dirac Semimetals
- Lattice field theory simulations of Dirac semimetals
- Phase diagram of the interacting persistent spin-helix state
- Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
- Quantum critical phenomena of the excitonic insulating transition in two dimensions