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

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

2007-01-08

arxiv.org/abs/cond-mat/0701145v3

Phys. Rev. Lett. 98, 216401 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures (replaced with revised version)

Scientific paper

10.1103/PhysRevLett.98.216401

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 $e^2N$, 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.

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