### 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 language | English |
---|---|

Article number | 075156 |

Journal | Physical Review B |

Volume | 100 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2019 Aug 29 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physical Review B*,

*100*(7), [075156]. https://doi.org/10.1103/PhysRevB.100.075156

}

*Physical Review B*, vol. 100, no. 7, 075156. https://doi.org/10.1103/PhysRevB.100.075156

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Phase diagram of a two-dimensional dirty tilted Dirac semimetal

AU - Lee, Yu Li

AU - Lee, Yu Wen

PY - 2019/8/29

Y1 - 2019/8/29

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85072580427&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072580427&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.100.075156

DO - 10.1103/PhysRevB.100.075156

M3 - Article

AN - SCOPUS:85072580427

VL - 100

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 7

M1 - 075156

ER -