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We study the thermodynamic properties of massless Dirac fermions in graphene under a uniform magnetic field and Rashba spin-orbit coupling with a $q-$deformed Heisenberg algebra calculus. The thermodynamic functions such as the Helmholtz…

High Energy Physics - Theory · Physics 2021-07-27 Rachid Houça , El Bouazzaoui Choubabi , Abdelhadi Belouad , Abdellatif Kamal , Mohammed El Bouziani

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…

High Energy Physics - Theory · Physics 2014-07-29 Victor Santos , R. V. Maluf , C. A. S. Almeida

In this paper, we investigate the thermodynamic properties of a set of neutral Dirac particles in the presence of an electromagnetic field in contact with a heat bath for the relativistic and non-relativistic cases. In order to perform the…

Quantum Physics · Physics 2019-09-02 R. R. S. Oliveira , A. A. Araújo Filho

Graphene is a zero-gap semiconductor, where the electrons propagating inside are described by the ultra-relativistic Dirac equation normally reserved for very high energy massless particles. In this work, we show that graphene under a…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 J. Gbètoho , F. A. Dossa , G. Y. H. Avossevou

We theoretically study magnetic field, temperature, and energy band-gap dependences of magnetizations in the Dirac fermions. We use the zeta function regularization to obtain analytical expressions of thermodynamic potential, from which the…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 F. R. Pratama , M. Shoufie Ukhtary , Riichiro Saito

In this paper, we show, by using the approach of effective mass, that the model of a two-dimensional Dirac oscillator can be used to describe the thermal properties of graphene under an uniform magnetic field. All thermal quantities of…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Abdelmalek Boumali

In this paper, we present the solutions of the Dirac-Weyl equation for graphene under a constant magnetic field. The resulting spectrum is used to determine the partition function, a key quantity in the study of thermodynamic properties.…

We study graphene in an external magnetic field within a noncommutative (NC) framework. A gauge-invariant NC Hamiltonian is derived, and the system is analyzed using the ladder-operator formalism, yielding deformed Landau levels and…

Mathematical Physics · Physics 2026-03-10 Ilyas Haouam

At low energies, electrons in doped graphene sheets are described by a massless Dirac fermion Hamiltonian. In this work we present a semi-analytical expression for the dynamical density-density linear-response function of noninteracting…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. R. Ramezanali , M. M. Vazifeh , Reza Asgari , Marco Polini , A. H. MacDonald

Ab-initio density functional perturbation theory (DFPT) has been employed to study thermodynamical properties of pure and doped graphene sheet and the results have been compared with available theoretical and experimental data. The…

Mesoscale and Nanoscale Physics · Physics 2020-05-22 Sarita Mann , Pooja Rani , Ranjan Kumar , Girija S. Dubey , V. K. Jindal

In this paper, we investigate the thermodynamic properties of the noncommutative Dirac oscillator with a permanent electric dipole moment in the presence of an electromagnetic field in contact with a heat bath. Using the canonical ensemble,…

High Energy Physics - Theory · Physics 2022-12-21 R. R. S. Oliveira , R. R. Landim

In this work, we present a semi-analytical expression for the temperature dependence of a spin-resolved dynamical density-density response function of massless Dirac fermions within the Random Phase Approximation. This result is crucial in…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 A. Faridi , M. Pashangpour , Reza Asgari

In the 2016 experiment by Crossno et al. [Science 351, 1058 (2016)], electronic contribution to the thermal conductivity of graphene was found to violate the well-known Wiedemann-Franz (WF) law for metals. At liquid nitrogen temperatures,…

Mesoscale and Nanoscale Physics · Physics 2021-05-24 Adam Rycerz

In this paper, we investigate the thermodynamic properties of an Aharonov-Bohm (AB) quantum ring in a heat bath for both relativistic and non-relativistic cases. For accomplishing this, we used the partition function which was obtained…

Quantum Physics · Physics 2018-12-21 R. R. S Oliveira , A. A. Araujo Filho , F. C. E. Lima , R. V. Maluf , C. A. S. Almeida

We study the thermal and electric transport of a fluid of interacting Dirac fermions as they arise in single-layer graphene. We include Coulomb interactions, a dilute density of charged impurities and the presence of a magnetic field to…

Mesoscale and Nanoscale Physics · Physics 2009-05-31 Markus Mueller , Lars Fritz , Subir Sachdev , Joerg Schmalian

The impact of renormalization of the electron spectrum on the chemical potential, heat capacity, and oscillating magnetic moment is studied. The cases of low and high temperatures are considered. At low temperatures, doped graphene behaves…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 L. A. Falkovsky

We have studied the electric and thermal response of two-dimensional Dirac-fermions in a quantizing magnetic field in the presence of localized disorder. The electric and heat current operators in the presence of magnetic field are derived.…

Strongly Correlated Electrons · Physics 2009-11-13 Balázs Dóra , Peter Thalmeier

We obtain explicit expressions for thermodynamic quantities of a relativistic degenerate free electron gas in a magnetic field in terms of Hurwitz Zeta functions. The formulation allows for systematic expansion in all regimes. Three energy…

Mathematical Physics · Physics 2009-10-31 Claudio O. Dib , Olivier R. Espinosa

On the basis of self-consistent Born approximation for Dirac fermions under charged impurity scatterings in graphene, the theory for calculating the thermo-electric power is developed by using the heat current-current correlation function.…

Strongly Correlated Electrons · Physics 2009-10-23 Xin-Zhong Yan , Yousef Romiah , C. S. Ting

The zeta function regularization technique is used to study the finite temperature Casimir effect for a massless Majorana fermion field confined between parallel plates and satisfying bag boundary conditions. A magnetic field perpendicular…

High Energy Physics - Theory · Physics 2011-01-28 Andrea Erdas
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