Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system

Abstract

It was recently found that Coulomb interaction can induce a series of nontrivial spectral and transport properties in a two-dimensional anisotropic Weyl semimetal. Different from graphehe that is basically an ordinary Fermi liquid, the Coulomb interaction in this system makes the Fermi liquid description invalid over a wide range of energy scales. We present a systematic renormalization group analysis of the interplay of Coulomb interaction and quenched disorder, and show that they have substantial mutual effects on each other, which then leads to a variety of quantum phase transitions and non-Fermi liquid behaviors. The low-energy physics of the system depends sensitively on the effective strength of Coulomb interaction and disorder.

16 pages, 9 figures

References in corpus (18)

• The electronic properties of graphene
• Dirac materials
• Electric Field Induced Topological Phase Transition in Two-Dimensional Few-layer Black Phosphorus
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Merging of Dirac points in a two-dimensional crystal
• Is graphene in vacuum an insulator?
• Electrically Tunable Quasi-Flat Bands, Conductance and Field Effect Transistor in Phosphorene
• A new magnetic field dependence of Landau levels on a graphene like structure
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Quantum Critical Behaviour in a Graphene-like Model
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Quantum Criticality of Topological Phase Transitions in 3D Interacting Electronic Systems
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• Why does graphene behave as a weakly interacting system?
• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
• A semi-Dirac point in the Hofstadter spectrum
• Correlation effects in double-Weyl semimetals
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates

Cited by in corpus (2)

• Floquet band structure of a semi-Dirac system
• Interplay between topology and disorder in a two-dimensional semi-Dirac material