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- W4386770140 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 pseudoquantum electrodynamics, within a perturbative approach in the fine-structure constant $ensuremath{alpha}$. Thereafter, we use the so-called imaginary-time formalism for including the thermal bath. In the limit $Tensuremath{rightarrow}0$, we calculate the renormalized mass ${m}^{R}(mathrm{p})$ and compare this result with the experimental findings for the energy band gap in monolayers of transition metal dichalcogenides, namely, ${mathrm{WSe}}_{2}$ and ${mathrm{MoS}}_{2}$. In these materials, the quasiparticle excitations behave as 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 $Tensuremath{ll}{v}_{F}mathrm{p}$, where ${v}_{F}mathrm{p}$ is taken as the Fermi energy, we show that ${m}^{R}(mathrm{p})$ decreases linearly on the temperature, i.e., ${m}^{R}(mathrm{p},T)ensuremath{-}{m}^{R}(mathrm{p},Tensuremath{rightarrow}0)ensuremath{approx}ensuremath{-}{A}_{ensuremath{alpha}}T+O({T}^{3})$, where ${A}_{ensuremath{alpha}}$ is a positive constant. On the other hand, for the renormalized Fermi velocity, we find that ${v}_{F}^{R}(mathrm{p},T)ensuremath{-}{v}_{F}^{R}(mathrm{p},Tensuremath{rightarrow}0)ensuremath{approx}ensuremath{-}{B}_{ensuremath{alpha}}{T}^{3}+O({T}^{5})$, where ${B}_{ensuremath{alpha}}$ is a positive constant. We also perform numerical tests which confirm our analytical results." @default.
- W4386770140 created "2023-09-16" @default.
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- W4386770140 date "2023-09-15" @default.
- W4386770140 modified "2023-10-01" @default.
- W4386770140 title "Effects of the two-dimensional Coulomb interaction in both Fermi velocity and energy gap for Dirac-like electrons at finite temperature" @default.
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- W4386770140 doi "https://doi.org/10.1103/physrevd.108.056012" @default.
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