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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

We present extensive numerical results for the thermodynamic density of states (i.e. quantum capacitance) of a two-dimensional massless Dirac fermion fluid in a doped graphene sheet. In particular, by employing the random phase…

Mesoscale and Nanoscale Physics · Physics 2014-10-23 Reza Asgari , Mikhail I. Katsnelson , Marco Polini

The dielectric function method (DFM), which uses a non-adiabatic approach to calculate the critical temperatures for superconductivity, has been quite successful in describing superconductors at low carrier densities. This regime of carrier…

Superconductivity · Physics 2019-10-15 Dietrich Elst , Sergei N. Klimin , Jacques Tempere

The low energy physics of both graphene and surface states of three-dimensional topological insulators is described by gapless Dirac fermions with linear dispersion. In this work, we predict the emergence of a "heavy" Dirac fermion in a…

Mesoscale and Nanoscale Physics · Physics 2016-10-17 Wendong Cao , Rui-Xing Zhang , Peizhe Tang , Gang Yang , Jorge Sofo , Wenhui Duan , Chao-Xing Liu

Some important features of the graphene physics can be reproduced by loading ultracold fermionic atoms in a two-dimensional optical lattice with honeycomb symmetry and we address here its experimental feasibility. We analyze in great…

Quantum Physics · Physics 2009-10-27 Kean Loon Lee , Benoit Gremaud , Rui Han , Berthold-Georg Englert , Christian Miniatura

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

Hot, dense phases of Dirac fermions - predicted to resemble relativistic plasma - are uniquely accessible through photoexcitation of pristine, charge neutral graphene. We demonstrate a sensitive temperature probe of the photoexcited Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Jacky C. Wan , Trevor B. Arp , Nathaniel M. Gabor

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

At low energy, electrons in doped graphene sheets behave like massless Dirac fermions with a Fermi velocity which does not depend on carrier density. Here we show that modulating a two-dimensional electron gas with a long-wavelength…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 M. Gibertini , A. Singha , V. Pellegrini , M. Polini , G. Vignale , A. Pinczuk , L. N. Pfeiffer , K. W. West

Renormalization is one of the basic notions of condensed matter physics. Based on the concept of renormalization, the Landau's {\em Fermi liquid} theory has been able to explain, why despite the presence of Coulomb interactions, the free…

Strongly Correlated Electrons · Physics 2009-05-06 S. A. Jafari

We have conducted a thorough theoretical and numerical investigation of the electronic susceptibility, polarizability, plasmons, their damping rates, as well as the static screening in pseudospin-1 Dirac cone materials with a flat band, or…

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

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 study we report our numerical results on finite temperature non-interacting dynamical polarization function, plasmon modes and electron energy loss function of doped single layer gapped graphene within the random phase…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K. Patel , Syed S. Z. Ashraf , Ami C. Sharma

The response of Dirac fermions to a Coulomb potential is predicted to differ significantly from the behavior of non-relativistic electrons seen in traditional atomic and impurity systems. Surprisingly, many key theoretical predictions for…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Yang Wang , Victor W. Brar , Andrey V. Shytov , Qiong Wu , William Regan , Hsin-Zon Tsai , Alex Zettl , Leonid S. Levitov , Michael F. Crommie

We investigate the electromagnetic response of a relativistic Fermi gas at finite temperatures. Our theoretical results are first-order in the fine-structure constant. The electromagnetic permittivity and permeability are introduced via…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 E. Reyes-Gómez , L. E. Oliveira , C. A. A. de Carvalho

We investigate the effect of phenomenological relaxation parameters on the third order optical nonlinearity of doped graphene by perturbatively solving the semiconductor Bloch equation around the Dirac points. An analytic expression for the…

Materials Science · Physics 2015-12-24 J. L. Cheng , N. Vermeulen , J. E. Sipe

We study non-linear dc transport in graphene using a hydrodynamic approach and conclude that in clean samples the drift velocity saturates at a weakly density-dependent value v_{sat} ~ 10^7 cm/s. We show that saturation results from the…

Other Condensed Matter · Physics 2015-05-13 R. Bistritzer , A. H. MacDonald

We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 U. Briskot , M. Schütt , I. V. Gornyi , M. Titov , B. N. Narozhny , A. D. Mirlin

A recent proposal argues that an alternate description of the half-filled Landau level is a theory of massless Dirac fermions. We examine the possibility of pairing of these Dirac fermions by numerically solving the {\em coupled} Eliashberg…

Strongly Correlated Electrons · Physics 2019-08-16 Nicholas Rombes , Sudip Chakravarty
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