Thermodynamical properties of graphene in noncommutative phase-space
arXiv:1401.8051 · doi:10.1016/j.aop.2014.07.005
Abstract
We investigated the thermodynamic properties of graphene in a noncommutative phase-space in the presence of a constant magnetic field. In particular, we determined the behaviour of the main thermodynamical functions: the Helmholtz free energy, the mean energy, the entropy and the specific heat. The high temperature limit is worked out and the thermodynamic quantities, such as mean energy and specific heat, exhibit the same features as the commutative case. Possible connections with the results already established in the literature are discussed briefly.
12 pages, 6 figures, improvements and changes are added, published version
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- Klein-Gordon and Dirac Equations with Thermodynamic Quantities
- Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
- Dynamical Noncommutative Graphene
- Thermal and optical properties of two molecular potentials
- Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions
- Graphene in curved Snyder space
- Noncommutative Brownian motion
- Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
- Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism
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- Algebraic solution and thermodynamic properties of graphene in the presence of minimal length