Roles of edge states in the specific heat and magnetic ordering of graphene strips

Yi, Kyung–Soo; Kim, D.; Park, K.-S.; Quinn, John J.

doi:10.1016/j.physe.2007.10.064

Cited by 4 publications

(4 citation statements)

References 7 publications

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“…(for T < 0.1 eV):‫ܥ‬ ߙ ܶ ଶ. at low T for extensive systems; while for massless fermions in 2D, ‫ܥ‬ ଶ ߙ ܶ ଶ . In a typical 2DEG, ‫ܥ‬ ߙ ܶ[11]. Thus, there is equivalence between our model and the masslessfermion-model.…”

mentioning

confidence: 75%

“…This means that SFA for the relativistic case should first be derived and studied. b [11] c [7] d [32]…”

Section: Resultsmentioning

confidence: 99%

“…For massless fermions, the total kinetic energy was equal to a constant ∼ n 3/2 for a given density n; and the specific heat maintained its linear behavior with temperature. Yi et al [11] studied the low-energy electronic energy structure of a graphene strip near band-crossing points and made use of the finite width effect in the low-temperature heat capacity, C el (T). They found that the lowenergy electronic structure depended strongly on the strip width and the relative strength of various spin-charge coupling mechanisms, and that the overall behavior of C el (T) was similar to that of a two-level system.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamic properties of graphene using the static fluctuation approximation (SFA)

et al. 2017

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The thermodynamic properties of two-dimensional graphene nanosystems are investigated using the static fluctuation approximation (SFA). These properties are analyzed using both extensive and nonextensive statistical mechanics. It is found that these properties are less sensitive to temperature when using nonextensive — in contrast to extensive — statistical mechanics. It is also noted that the mean internal energy and the specific heat behave as a power law, Tα, at T < 8 eV; whereas they go to the classical limit for the two-dimensional ideal gas at T > 8 eV. The results are presented in a set of figures and one table. The roles played by the number of particles and the entropy parameter q are underlined. Whenever possible, comparisons are made to previous studies. It is concluded that Boltzmann–Gibbs statistics are not valid for some cases, and that SFA results are in good agreement with those obtained within other formalisms.

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confidence: 75%

“…This means that SFA for the relativistic case should first be derived and studied. b [11] c [7] d [32]…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermodynamic properties of graphene using the static fluctuation approximation (SFA)

et al. 2017

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“…[19] The influence of distorting on the specific heat of bilayer graphene was studied in Ref. [20]. Using the first principles calculation based on the density functional theory, in Ref.…”

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confidence: 99%