Phase diagram of a two-dimensional dirty tilted Dirac semimetal

Yu Li Lee, Yu Wen Lee

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We investigate the effects of quenched disorder on a noninteracting tilted Dirac semimetal in two dimensions. Depending on the magnitude of the tilting parameter, the system can have either Fermi points (type I) or Fermi lines (type II). In general, there are three different types of disorders for Dirac fermions in two dimensions, namely, the random scalar potential, the random vector potentials along and perpendicular to the tilting direction, and the random mass. We study the effects of weak disorder in terms of the renormalization group, which is performed by integrating out the modes with large energies, instead of large momenta. Since the parametrization of the low-energy degrees of freedom depends on the structure of the Fermi surface, the resulting one-loop renormalization-group equations depend on the type of tilted Dirac fermions. Whenever the disorder is a marginal perturbation, we examine its role on low-energy physics by a mean-field approximation of the replica field theory or the first-order Born approximation. Based on our analysis, we suggest the phase diagrams of a two-dimensional tilted Dirac fermion in the presence of different types of disorder.

Original languageEnglish
Article number075156
JournalPhysical Review B
Volume100
Issue number7
DOIs
Publication statusPublished - 2019 Aug 29

Fingerprint

Metalloids
Fermions
metalloids
Phase diagrams
phase diagrams
disorders
fermions
Born approximation
Fermi surface
Degrees of freedom (mechanics)
Momentum
Physics
replicas
Fermi surfaces
energy
degrees of freedom
scalars
momentum
perturbation
physics

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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Phase diagram of a two-dimensional dirty tilted Dirac semimetal. / Lee, Yu Li; Lee, Yu Wen.

In: Physical Review B, Vol. 100, No. 7, 075156, 29.08.2019.

Research output: Contribution to journalArticle

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