Anomalous thermodynamics of Coulomb interacting massless Dirac fermions in two spatial dimensions

Abstract

It is argued that the specific heat of $N$ massless Dirac fermions in 2 spatial dimensions interacting with 1/r Coulomb interactions is suppressed logarithmically relative to its non-interacting counterpart. The (dimensionless) coefficient of the logarithm is calculated analytically in the leading order in large $N$ expansion, but to all orders in $e^{2}N$, a procedure which takes into account finite temperature screening. Experimental observation of this effect is expected to occur in a single layer graphene embedded in a dielectric medium. Its dependence on the dielectric constant is calculated analytically.

4 pages, 2 figures (replaced with revised version)

References in corpus (3)

• First direct observation of Dirac fermions in graphite
• Thermo-Plasma Polariton within Scaling Theory of Single-Layer Graphene
• Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations

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• Crossover in Electronic Specific Heat near Narrow-Sense Type-III Dirac Cones
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