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Related papers: Mapping Dirac Quasiparticles near a Single Coulomb…

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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…

Strongly Correlated Electrons · Physics 2015-05-20 James P. Reed , Bruno Uchoa , Young Il Joe , Yu Gan , Diego Casa , Eduardo Fradkin , Peter Abbamonte

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

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…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 M. Agarwal , E. G. Mishchenko

Graphene, as a promising material of post-silicon electronics, opens a new paradigm for the novel electronic properties and device applications. On the other hand, the 2D feature of graphene makes it technically challenging to be integrated…

A model of 2D massive Dirac fermions, interacting with a instantaneous $1/r$ Coulomb interaction, is presented to mimic the physics of gapped graphene. The static polarization function is calculated explicitly to analyze screening effect at…

Other Condensed Matter · Physics 2015-05-20 Jia-Ning Zhang

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…

Strongly Correlated Electrons · Physics 2015-06-17 Jing-Rong Wang , Guo-Zhu Liu

We investigate the excitonic instability in the theory of Dirac fermions in graphene with long-range Coulomb interaction. We analyze the electron-hole vertex relevant for exciton condensation in the ladder approximation, showing that it…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 J. Gonzalez

We examine the 1/N expansion, where N is the number of two-component Dirac fermions, for Coulomb interactions in graphene with a gap of magnitude $\Delta = 2 m$. We find that for $N\alpha\gg1$, where $\alpha$ is graphene's "fine structure…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Valeri N. Kotov , Bruno Uchoa , A. H. Castro Neto

The electronic energy spectrum of graphene electron subjected to a homogeneous magnetic field in the presence of a charged Coulomb impurity is studied analytically within two-dimensional Dirac-Weyl picture by using variational approach. The…

Mesoscale and Nanoscale Physics · Physics 2010-05-21 B. S. Kandemir , A. Mogulkoc

We study interacting Dirac quasiparticles in disordered graphene and find that an interplay between the unscreened Coulomb interactions and pseudo-relativistic quasiparticle kinematics can be best revealed in the ballistic regime, whereas…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. V. Khveshchenko

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…

Strongly Correlated Electrons · Physics 2007-05-23 M. W. C. Dharma-wardana

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…

Strongly Correlated Electrons · Physics 2018-08-14 Ho-Kin Tang , J. N. Leaw , J. N. B. Rodrigues , I. F. Herbut , P. Sengupta , F. F. Assaad , S. Adam

Recent experiments have proven that the quasiparticles in graphene obey a Dirac equation. Here we show that microwaves are an excellent probe of their unusual dynamics. When the chemical potential is small the intraband response can exhibit…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

Electrons in two-dimensional graphene sheets behave as interacting chiral Dirac fermions and have unique screening properties due to their symmetry and reduced dimensionality. By using a combination of scanning tunneling spectroscopy…

We investigate the dynamical breakdown of the chiral symmetry in the theory of Dirac fermions in graphene with long-range Coulomb interaction. We analyze the electron-hole vertex relevant for the dynamical gap generation in the ladder…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 J. Gonzalez

Spatially separated electron systems remain strongly coupled by electron-electron interactions even when they cannot exchange particles, provided that the layer separation d is comparable to a characteristic distance l between charge…

There is evidence for existence of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. We revisit the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Riazuddin

In the presence of axial magnetic fields that can be realized in deliberately buckled monolayer graphene, quasi-relativistic Dirac fermions may find themselves in a variety of broken symmetry phases even for weak interactions. Through a…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Bitan Roy , Jay D. Sau

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…

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