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We present a formalism to calculate the orbital magnetization of interacting Dirac fermions under a magnetic field. In this approach, the divergence difficulty is overcome with a special limit of the derivative of the thermodynamic…

Strongly Correlated Electrons · Physics 2017-09-05 Xin-Zhong Yan , C. S. Ting

We study the thermodynamic properties of massless Dirac fermions in graphene subjected to a uniform magnetic field $B$ together with Rashba coupling parameter $\lambda_R$. The thermodynamic functions such as the Helmholtz free energy, total…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Rachid Houça , Ahmed Jellal

We consider Dirac fermions moving in a plane with a static homogeneous magnetic field orthogonal to the plane. We calculate the effective action at finite temperature and density. The magnetization is derived and it is shown that the…

Condensed Matter · Physics 2011-07-19 Jens O. Andersen , Tor Haugset

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

A study of strongly curved graphene magnetization and magnetic susceptibility is carried out. Through a Dirac model complemented with a tight-binding model analysis, we are able to show that mechanical deformations solve the long-standing…

Mesoscale and Nanoscale Physics · Physics 2024-07-18 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis , Pavel Castro-Villarreal

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

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 this paper we study the excitation spectrum of graphene in a strong magnetic field, beyond the Dirac cone approximation. The dynamical polarizability is obtained using a full $\pi$-band tight-binding model where the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

This paper is to explore the de Haas-van Alphen effect $(dHvA)$ of graphene in the presence of an in-plane uniform electric field. Three major findings are yielded. First of all, the electric field is found to modulate the de Haas-van…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Shengli Zhang , Ning Ma , Erhu Zhang

The diamagnetism of confined Dirac fermions submitted to a uniform magnetic field in disordered graphene is investigated. The solutions of the energy spectrum are used to discuss the orbital magnetism from a statistical mechanical point of…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Ahmed Jellal , Malika Bellati , Michael Schreiber

In the variational framework, we study the electronic energy spectrum of massless Dirac fermions of graphene subjected to one-dimensional oscillating magnetic and electrostatic fields centered around a constant uniform static magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 B. S. Kandemir , A. Mogulkoc

In our work, we study the dynamics of a graphene Corbino disk supported by a gold mechanical resonator in the presence of a magnetic field. We demonstrate here that our graphene/gold mechanical structure exhibits a nontrivial resonance…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Juuso Manninen , Antti Laitinen , Francesco Massel , Pertti Hakonen

We compute the magnetization of graphene in a magnetic field, taking into account for generality the possibility of a mass gap. We concentrate on the physical regime where quantum oscillations are not observed due to the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Sergey Slizovskiy , Joseph Betouras

The problem of Dirac fermions in graphite subject to a perpendicular magnetic field is studied. We show analytically that the weak inter-layer interaction between the graphene sheets leads to anomalies in the Shubnikov-de Haas and de…

Materials Science · Physics 2010-03-24 L. Smrcka , N. A. Goncharuk

We have investigated the absorption spectrum of multilayer graphene in high magnetic fields. The low energy part of the spectrum of electrons in graphene is well described by the relativistic Dirac equation with a linear dispersion…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Plochocka , C. Faugeras , M. Orlita , M. L. Sadowski , G. Martinez , M. Potemski , M. O. Goerbig , J. -N. Fuchs , C. Berger , W. A. de Heer

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

Electrons moving in graphene behave as massless Dirac fermions, and they exhibit fascinating low-frequency electrical transport phenomena. Their dynamic response, however, is little known at frequencies above one terahertz (THz). Such…

We study the effect of a magnetic field on Dirac fermions in graphene subject to a scalar potential oscillating in time. Using the Floquet theory and resonance approximation, we show that the energy spectrum exhibits extra subbands resulted…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Rachid El Aitouni , Ahmed Jellal

Massless Dirac fermions in graphene at charge neutrality form a strongly interacting system in which both charged and neutral (energy) modes play an important role. These modes are essentially decoupled in the absence of a magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2013-09-20 Justin C. W. Song , Leonid S. Levitov

On the basis of self-consistent Born approximation, we solve the Bethe-Salpeter matrix equations for Cooperon propagator of the Dirac fermions in graphene under the charged impurity scatterings and a weak external magnetic field. In the…

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