Role of acoustic phonons in exotic conductivity of two-dimensional Dirac electrons

Abstract

We examine the effect of acoustic phonon scattering on the conductivity of two-dimensional Dirac electrons. The temperature ($T$) dependence of the conductivity ($\sigma$) is calculated using the electron Green's function with damping by both the impurity (${\Gamma }_0$) and phonon (${\Gamma }_{\mathrm{ph}}$).For zero or small doping, on which the present Rapid Communication focuses, $\sigma (T)$ increases and becomes almost constant due to the competition between the Dirac electrons and the phonon scattering. Such strange behavior of $\sigma (T)$ is ascribed to an exotic mechanism of phonon scattering, whose momentum space is strongly reduced in the presence of a Dirac cone. For large doping, $\sigma$ decreases due to the interplay of the Fermi surface and the phonon. The unconventional $T$ dependence of the resistivity $\rho (=1/\sigma )$ for small doping is compared with that of the experiment of Dirac electrons in an organic conductor.

5 pages, 3 figures

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Cited by in corpus (7)

• Electric and Magnetic Responses of Two-dimensional Dirac Electrons in Organic Conductor $\alpha$-(BETS)${}_2$I${}_3$
• Anomalous conductivity of two-dimensional Dirac electrons in organic conductor under pressures
• Electric Transport of Nodal Line Semimetal in Single-Component Molecular Conductor
• Seebeck Effect of Dirac Electrons in Organic Conductors under Hydrostatic Pressure Using a Tight-Binding Model Derived from First Principles
• Conductivity of Two-dimensional Dirac Electrons Close to Merging in Organic Conductor $\alpha$-STF${}_2$I${}_3$ at Ambient Pressure
• Seebeck Coefficient of Two-dimensional Dirac Electrons in Organic Conductor under Pressure
• Spin-Orbit Coupling Effect on the Seebeck Coefficient in Dirac Electron Systems in $\alpha$-(BETS)${}_2$I${}_3$