Effects of the two-dimensional Coulomb interaction in both Fermi velocity and energy gap for Dirac-like electrons at finite temperature

Abstract

We describe both the Fermi velocity and the mass renormalization due to the two-dimensional Coulomb interaction in the presence of a thermal bath. To achieve this, we consider an anisotropic version of pseudo quantum electrodynamics (PQED), within a perturbative approach in the fine-structure constant $\alpha$. Thereafter, we use the so-called imaginary-time formalism for including the thermal bath. In the limit $T\to 0$, we calculate the renormalized mass $m^R(p)$ and compare this result with the experimental findings for the energy band gap in monolayers of transition metal dichalcogenides, namely, WSe${}_2$ and MoS${}_2$. In these materials, the quasi-particle excitations behave as a massive Dirac-like particles in the low-energy limit, hence, its mass is related to the energy band gap of the material. In the low-temperature limit $T\ll v_{F}p$, where $v_{F}p$ is taken as the Fermi energy, we show that $m^R(p)$ decreases linearly on the temperature, i.e, $m^R(p,T)-m^R(p,T\to 0)\approx -A_{\alpha }T+O(T^3)$, where $A_{\alpha }$ is a positive constant. On the other hand, for the renormalized Fermi velocity, we find that $v_F^R(p,T)-v_F^R(p,T\to 0)\approx -B_{\alpha }{T}^3+O(T^5)$, where $B_{\alpha }$ is a positive constant. We also perform numerical tests which confirm our analytical results.

arXiv comment11 pages

References in corpus (24)

• The electronic properties of graphene
• Dirac cones reshaped by interaction effects in suspended graphene
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Confinement and complex singularities in QED3
• Direct Determination of Band Gap Renormalization in Photo-Excited Monolayer MoS2
• Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory
• Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
• Electromagnetic current correlations in reduced quantum electrodynamics
• Interaction Induced Quantum Valley Hall Effect in Graphene
• Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects
• Two-loop fermion self-energy in reduced quantum electrodynamics and application to the ultra-relativistic limit of graphene
• Unitarity of theories containing fractional powers of the d'Alembertian operator
• Confinement-Deconfinement Transition in 3-Dimensional QED
• On the exact quantum scale invariance of three-dimensional reduced QED theories
• Spin g-factor due to electronic interactions in graphene
• Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite Temperature
• Two-loop fermion self-energy and propagator in reduced QED${}_{3,2}$
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• Quantum-electrodynamical approach to the exciton spectrum in Transition-Metal Dichalcogenides
• Renormalization of the band gap in 2D materials through the competition between electromagnetic and four-fermion interactions
• Renormalization and conformal invariance of non-local quantum electrodynamics
• The influence of a weak magnetic field in the Renormalization-Group functions of (2+1)-dimensional Dirac systems
• Field theoretic renormalization study of interaction corrections to the universal ac conductivity of graphene
• Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature

Cited by in corpus (1)

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