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Studying the strong correlation effects in interacting Dirac fermion systems is one of the most challenging problems in modern condensed matter physics. The long-range Coulomb interaction and the fermion-phonon interaction can lead to a…

强关联电子 · 物理学 2021-08-25 Xiao-Yin Pan , Zhao-Kun Yang , Xin Li , Guo-Zhu Liu

While many physical properties of graphene can be understood qualitatively on the basis of bare Dirac bands, there is specific evidence that electron-electron (EE) and electron-phonon (EP) interactions can also play an important role. We…

强关联电子 · 物理学 2015-06-04 J. P. F. LeBlanc , Jungseek Hwang , J. P. Carbotte

The role of electron-electron interactions on two-dimensional Dirac fermions remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that incorporate both the contact and long-range parts of the Coulomb…

强关联电子 · 物理学 2018-08-14 Ho-Kin Tang , J. N. Leaw , J. N. B. Rodrigues , I. F. Herbut , P. Sengupta , F. F. Assaad , S. Adam

The quasi-2D electrons in graphene behave as massless fermions obeying a Dirac-Weyl equation in the low-energy regime near the two Fermi points. The stability of spin-polarized phases (SPP) in graphene is considered. The exchange energy is…

强关联电子 · 物理学 2007-05-23 M. W. C. Dharma-wardana

First-principles density functional calculations for graphene and defected graphene are used to examine when the quasi-2D electrons near the Fermi energy in graphene could be represented by massless fermions obeying a Dirac-Weyl (DW)…

强关联电子 · 物理学 2007-11-06 M. W. C. Dharma-wardana

We consider a screened Coulomb interaction between electrons in graphene and determine their dynamic response functions, such as a longitudinal and a transverse electric conductivity and a polarization function and compare them to the…

介观与纳米尺度物理 · 物理学 2020-09-23 M. Agarwal , E. G. Mishchenko

Using the tight-binding model with long-range Coulomb interactions between electrons, we study some of the electronic properties of graphene. The Coulomb interactions are treated with the renormalized-ring-diagram approximation. By…

强关联电子 · 物理学 2011-11-09 Xin-Zhong Yan , C. S. Ting

In previous theoretical studies of phonon-mediated superconductors, the electron-phonon coupling is treated by solving the Migdal-Eliashberg equations under the bare vertex approximation, whereas the effect of Coulomb repulsion is…

超导电性 · 物理学 2023-10-24 Jie Huang , Zhao-Kun Yang , Xiao-Yin Pan , Guo-Zhu Liu

The strong long-range Coulomb interaction between massless Dirac fermions in graphene can drive a semimetal-insulator transition. We show that this transition is strongly suppressed when the Coulomb interaction is screened by such effects…

强关联电子 · 物理学 2015-05-13 Guo-Zhu Liu , Wei Li , Geng Cheng

We present a non-perturbative study of the quantum many-body effects caused by the long-range Coulomb interaction in a two-dimensional semi-Dirac semimetal. This kind of semimetal may be realized in deformed graphene and a class of other…

强关联电子 · 物理学 2022-03-14 Hao-Fu Zhu , Xiao-Yin Pan , Guo-Zhu Liu

Electrons in graphene behave like Dirac fermions, permitting phenomena from high energy physics to be studied in a solid state setting. A key question is whether or not these Fermions are critically influenced by Coulomb correlations. We…

强关联电子 · 物理学 2015-05-20 James P. Reed , Bruno Uchoa , Young Il Joe , Yu Gan , Diego Casa , Eduardo Fradkin , Peter Abbamonte

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…

We develop a theory for the optical conductivity of doped multilayer graphene including the effects of electron-electron interactions. Applying the quantum kinetic formalism, we formulate a set of pseudospin Bloch equations that governs the…

介观与纳米尺度物理 · 物理学 2018-04-03 Xiao Li , Wang-Kong Tse

The strong Coulomb interaction between massless Dirac fermions can drive a semimetal-insulator transition in single-layer graphene by dynamically generating an excitonic fermion gap. There is a critical interaction strength $\lambda_c$ that…

强关联电子 · 物理学 2015-03-13 Wei Li , Guo-Zhu Liu

Using many-body diagrammatic perturbation theory we consider carrier density- and substrate-dependent many-body renormalization of doped or gated graphene induced by Coulombic electron-electron interaction effects. We quantitatively…

介观与纳米尺度物理 · 物理学 2013-02-11 S. Das Sarma , E. H. Hwang

We investigate the problem of dynamical gap generation in suspended graphene by long-range Coulomb interactions at strong coupling with Dyson-Schwinger equations. Including renormalization effects on the Fermi velocity we obtain a critical…

强关联电子 · 物理学 2013-02-12 C. Popovici , C. S. Fischer , L. von Smekal

Anisotropic Dirac cones can appear in a number of correlated electron systems, such as cuprate superconductors and deformed graphene. We study the influence of long-range Coulomb interaction on the physical properties of an anisotropic…

强关联电子 · 物理学 2015-06-17 Jing-Rong Wang , Guo-Zhu Liu

Frequency dependent conductivity of Coulomb interacting massless Dirac fermions coupled to random scalar and random vector potentials is found as a function of frequency in the regime controlled by a line of fixed points. Such model…

无序系统与神经网络 · 物理学 2008-10-22 Oskar Vafek

We construct a nonperturbative nonequilibrium theory for graphene electrons interacting via the instantaneous Coulomb interaction by combining the functional renormalization group method with the nonequilibrium Keldysh formalism. The…

介观与纳米尺度物理 · 物理学 2017-03-15 Christian Fräßdorf , Johannes E. M. Mosig

Motivated by the physics of graphene, we consider a model of N species of 2+1 dimensional four-component massless Dirac fermions interacting through a 3D instantaneous Coulomb interaction. We show that in the limit of infinitely strong…

强关联电子 · 物理学 2007-07-11 D. T. Son
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