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We study a many-body ground state of graphene in perpendicular magnetic fields. Chiral symmetry in graphene enables us to determine the many-body ground state, which turns out to be a doubly degenerate chiral condensate for the half-filled…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Y. Hamamoto , Y. Hatsugai , H. Aoki

We report on the results of the first-principle numerical study of spontaneous breaking of chiral (sublattice) symmetry in suspended monolayer graphene due to electrostatic interaction, which takes into account the screening of Coulomb…

Strongly Correlated Electrons · Physics 2015-06-15 M. V. Ulybyshev , P. V. Buividovich , M. I. Katsnelson , M. I. Polikarpov

Chiral symmetry, fundamental in the physics of graphene, guarantees the existence of topologically stable doubled Dirac cones and anomalous behaviors of the zero-energy Landau level in magnetic fields. The crucial role is inherited in the…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Y. Hatsugai , T. Morimoto , T. Kawarabayashi , Y. Hamamoto , H. Aoki

We show that the quantum chirality of charge carriers in graphene can be mimicked in optical structures. More precisely, we demonstrate that the particular form of the transmission coefficient at an interface in graphene between regions…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Daniela Dragoman , Adrian Radu , Sorina Iftimie

Graphene, a two-dimensional crystal made of carbon atoms, provides a new and unexpected bridge between low and high-energy physics. The field has evolved very fast and very good reviews are already available in the literature. Graphene…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alberto Cortijo , Francisco Guinea , Maria A. H. Vozmediano

The low-energy excitations of graphene are relativistic massless Dirac fermions with opposite chiralities at valleys K and K'. Breaking the chiral symmetry could lead to gap opening in analogy to dynamical mass generation in particle…

Mesoscale and Nanoscale Physics · Physics 2021-06-03 Changhua Bao , Hongyun Zhang , Teng Zhang , Xi Wu , Laipeng Luo , Shaohua Zhou , Qian Li , Yanhui Hou , Wei Yao , Liwei Liu , Pu Yu , Jia Li , Wenhui Duan , Hong Yao , Yeliang Wang , Shuyun Zhou

We show that, at sufficiently large strength of the long-range Coulomb interaction, a mass term breaking parity (so-called Haldane mass) is dynamically generated in the many-body theory of Dirac fermions describing the graphene layer. While…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 J. Gonzalez

Due to effective enhancement of the Coulomb coupling strength in the vacuum-suspended graphene, the system may turn from a semimetal into an insulator by the formation of a gap in the fermionic spectrum. This phenomenon is analogous to the…

Strongly Correlated Electrons · Physics 2015-03-17 Yasufumi Araki

We study the realization in a model of graphene of the phenomenon whereby the tendency of gauge-field mediated interactions to break chiral symmetry spontaneously is greatly enhanced in an external magnetic field. We prove that, in the weak…

High Energy Physics - Theory · Physics 2011-09-09 Gordon W. Semenoff , Fei Zhou

Graphene in the quantum Hall regime exhibits a multi-component structure due to the electronic spin and chirality degrees of freedom. While the applied field breaks the spin symmetry explicitly, we show that the fate of the chirality SU(2)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , R. Moessner , B. Doucot

Graphene is the first example of truly two-dimensional crystals - it's just one layer of carbon atoms. It turns out to be a gapless semiconductor with unique electronic properties resulting from the fact that charge carriers in graphene…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 M. I. Katsnelson , K. S. Novoselov

Controlling the properties of materials by driving them out of equilibrium is an exciting prospect that has only recently begun to be explored. In this paper we give a striking theoretical example of such materials design: a tunable gap in…

Mesoscale and Nanoscale Physics · Physics 2013-04-29 Thomas Iadecola , David Campbell , Claudio Chamon , Chang-Yu Hou , Roman Jackiw , So-Young Pi , Silvia Viola Kusminskiy

Graphene exhibits unconventional two-dimensional electronic properties resulting from the symmetry of its quasiparticles, which leads to the concepts of pseudospin and electronic chirality. Here we report that scanning tunneling microscopy…

Materials Science · Physics 2009-11-13 I. Brihuega , P. Mallet , C. Bena , S. Bose , C. Michaelis , L. Vitali , F. Varchon , L. Magaud , K. Kern , J. Y. Veuillen

While numerous methods have been proposed to produce semiconducting graphene, a significant bandgap has never been demonstrated. The reason is that, regardless of the theoretical gap formation mechanism, disorder at the sub-nanometer scale…

Materials Science · Physics 2015-09-30 M. S. Nevius , M. Conrad , F. Wang , A. Celis , M. N. Nair , A. Taleb-Ibrahimi , A. Tejeda , E. H. Conrad

We investigate the development of a gapped phase in the field theory of Dirac fermions in graphene with long-range Coulomb interaction. In the large-N approximation, we show that the chiral symmetry is only broken below a critical number of…

Mesoscale and Nanoscale Physics · Physics 2011-03-21 J. Gonzalez

Scalar QED with fermions is investigated in an expansion in powers of the inverse gauge coupling constant. The fermion mass generation is studied in next to leading order of the strong coupling expansion for the Higgs-phase of the model.…

High Energy Physics - Phenomenology · Physics 2009-09-25 Marc Chemtob , Kurt Langfeld

We construct a chiral gauge theory to describe fractionalization of fermions in graphene. Thereby we extend a recently proposed model, which relies on vortex formation. Our chiral gauge fields provide dynamics for the vortices and also…

Strongly Correlated Electrons · Physics 2009-11-13 R. Jackiw , S. -Y. Pi

Graphene is generally considered to be a strong candidate to succeed silicon as an electronic material. However, to date, it actually has not yet demonstrated capabilities that exceed standard semiconducting materials. Currently…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Yike Hu , Ming Ruan , Zelei Guo , Rui Dong , James Palmer , John Hankinson , Claire Berger , Walt A. de Heer

Monolayer graphene in a strong magnetic field exhibits quantum Hall states at filling fractions $\nu = 0$ and $\nu = \pm 1$ that are not explained within a picture of noninteracting electrons. We propose that these states arise from…

Mesoscale and Nanoscale Physics · Physics 2014-11-27 Bitan Roy , Malcolm P. Kennett , S. Das Sarma

Graphene-like materials can be effectively described by Quantum Electrodynamics in (2+1)-dimensions. In a pristine state, these systems exhibit a symmetry between the nonequivalent Dirac points in the honeycomb lattice. Realistic samples…

High Energy Physics - Phenomenology · Physics 2016-01-08 Ana Julia Mizher , Alfredo Raya , Cristian Villavicencio
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