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.

arXiv comment4 pages, 2 figures (replaced with revised version)

References in corpus (7)

• Metallic behavior and related phenomena in two dimensions
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• First direct observation of Dirac fermions in graphite
• Thermo-Plasma Polariton within Scaling Theory of Single-Layer Graphene
• Massless Dirac Fermions, Gauge Fields, and Underdoped Cuprates
• Nonanalytic corrections to the specific heat of a three-dimensional Fermi liquid
• Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations

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