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We introduce effective field theories for the electronic properties of graphene in terms of relativistic fermions propagating in 2+1 dimensions, and outline how strong inter-electron interactions may be modelled by numerical simulation of a…

强关联电子 · 物理学 2015-01-09 Simon Hands , Wes Armour , Costas Strouthos

We present results from Monte Carlo simulations of a three dimensional fermionic field theory which can be derived from a model of graphene in which electrons interact via a screened Coulomb potential. For our simulations we employ lattice…

强关联电子 · 物理学 2009-08-04 Wesley Armour , Simon Hands , Costas Strouthos

The basic properties of $\pi$-electrons near the Fermi level in graphene are reviewed from a point of view of the pseudospin and a gauge field coupling to the pseudospin. The applications of the gauge field to the electron-phonon…

介观与纳米尺度物理 · 物理学 2015-05-13 K. Sasaki , R. Saito

The physics of graphene is acting as a bridge between quantum field theory and condensed matter physics due to the special quality of the graphene quasiparticles behaving as massless two dimensional Dirac fermions. Moreover, the particular…

介观与纳米尺度物理 · 物理学 2015-05-18 M. A. H. Vozmediano , M. I. Katsnelson , F. Guinea

In this paper the results of numerical simulation of monolayer graphene in external magnetic field are presented. The numerical simulation is performed in the effective lattice field theory with noncompact $3 + 1$-dimensional Abelian…

高能物理 - 格点 · 物理学 2014-06-13 D. L. Boyda , V. V. Braguta , S. N. Valgushev , M. I. Polikarpov , M. V. Ulybyshev

Our goal is to provide precise effective operators for monolayer graphene at Fermi energy. We consider the microscopic potential created by a lattice, and add a macroscopic potential with the same periodicity but varying at a scale…

数学物理 · 物理学 2026-02-24 Louis Garrigue

Effective quantum field theoretical continuum models for graphene are investigated. The models include a complex scalar field and a vector gauge field. Different gauge theories are considered and their gap patterns for the scalar, vector,…

材料科学 · 物理学 2011-05-27 O. Oliveira , C. E. Cordeiro , A. Delfino , W. de Paula , T. Frederico

We study the effect of Coulomb drag between two closely positioned graphene monolayers. In the limit of weak electron-electron interaction and small inter-layer spacing ($\mu_{1(2)}, T\ll v/d$) the drag is described by a universal function…

介观与纳米尺度物理 · 物理学 2012-08-07 B. N. Narozhny , M. Titov , I. V. Gornyi , P. M. Ostrovsky

We consider the low energy effective field model of graphene monolayer. Coulomb interactions are taken into account. The model is simulated numerically using the lattice discretization with staggered fermions. The two point fermionic Green…

高能物理 - 格点 · 物理学 2013-03-04 M. V. Ulybyshev , M. A. Zubkov

On the lattice some of the salient features of pure gauge theories and of gauge theories with fermions in complex representations of the gauge group seem to be lost. These features can be recovered by considering part of the theory in the…

高能物理 - 格点 · 物理学 2009-10-22 M. Goeckeler , A. S. Kronfeld , G. Schierholz , U. -J. Wiese

We study the Hartree-Fock approximation of graphene in infinite volume, with instantaneous Coulomb interactions. First we construct its translation-invariant ground state and we recover the well-known fact that, due to the exchange term,…

数学物理 · 物理学 2015-06-04 Christian Hainzl , Mathieu Lewin , Christof Sparber

The indirect exchange interaction between magnetic impurities localized in a graphene plane is considered theoretically, with the influence of intrinsic spin-orbit interaction taken into account. Such an interaction gives rise to an energy…

材料科学 · 物理学 2015-06-25 V. K. Dugaev , V. I. Litvinov , J. Barnas

By considering the continuous model for graphene, we analytically study a special gauge field for the edge state. The gauge field explains the properties of the edge state such as the existence only on the zigzag edge, the partial…

介观与纳米尺度物理 · 物理学 2007-05-23 Ken-ichi Sasaki , Shuichi Murakami , Riichiro Saito

We present a gauge and Lorentz invariant effective field theory model for the interaction of a charged scalar matter field with a magnetic monopole source, described by an external magnetic current. The quantum fluctuations of the monopole…

高能物理 - 理论 · 物理学 2024-01-23 K. Farakos , G. Koutsoumbas , Nick E. Mavromatos

We study the effect of Coulomb interaction between charge carriers on the properties of graphene monolayer, assuming that the strength of the interaction is controlled by the dielectric permittivity of the substrate on which the graphene…

强关联电子 · 物理学 2013-02-14 P. V. Buividovich , M. I. Polikarpov

We discuss how stripes in cuprates can be compatible with a Fermi-liquid-like Fermi surface and, at the same time, they give rise to a one-dimensional-like pseudo Fermi surface in the momentum distribution function.

强关联电子 · 物理学 2009-11-13 A. Di Ciolo , M. Grilli , J. Lorenzana , G. Seibold

The effects of gauge interactions in graphene have been analyzed up to now in terms of effective models of Dirac fermions. However, in several cases lattice effects play an important role and need to be taken consistently into account. In…

强关联电子 · 物理学 2012-09-19 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

Theories of interacting gauge fields and fermions can possess a running gauge coupling with an infrared attractive fixed point (IRFP). We present a minimal description of the physics of these systems and comment on some simple expectations…

高能物理 - 格点 · 物理学 2009-09-02 Thomas DeGrand , Anna Hasenfratz

We theoretically investigate Coulomb drag in a system of two parallel monolayers of graphene. Using a Boltzmann equation approach we study a variety of limits ranging from the non-degenerate interaction dominated limit close to charge…

介观与纳米尺度物理 · 物理学 2013-05-30 Jonathan Lux , Lars Fritz

We study the existence and topological stability of Fermi points in a graphene layer and stacks with many layers. We show that the discrete symmetries (spacetime inversion) stabilize the Fermi points in monolayer, bilayer and multilayer…

强关联电子 · 物理学 2013-05-29 Juan L. Mañes , Francisco Guinea , María A. H. Vozmediano
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