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The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Thierry Jolicoeur

We propose a new approach to generate and detect spin currents in graphene, based on a large spin-Hall response arising near the neutrality point in the presence of external magnetic field. Spin currents result from the imbalance of the…

Mesoscale and Nanoscale Physics · Physics 2011-08-24 D. A. Abanin , R. V. Gorbachev , K. S. Novoselov , A. K. Geim , L. S. Levitov

Bilayer graphene under a magnetic field has an octet of quasidegenerate levels due to spin, valley, and orbital degeneracies. This zero-energy Landau level is resolved into several incompressible states whose nature is still elusive. We use…

Strongly Correlated Electrons · Physics 2016-12-28 Angelika Knothe , Thierry Jolicoeur

In this article we investigate the excitations in a single graphene layer and in a single-walled carbon nanotube, i.e. the spectrum of magnetic excitations is calculated. In the absence of interactions in these systems there is a unique gap…

Strongly Correlated Electrons · Physics 2015-06-19 Vladimir Posvyanskiy , Logi Arnarson , Per Hedegård

We show through both theoretical arguments and numerical calculations that graphene discerns an unconventional sequence of quantized Hall conductivity, when subject to both magnetic fields (B) and strain. The latter produces time-reversal…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

We report a study of the cyclotron resonance (CR) transitions to and from the unusual $n=0$ Landau level (LL) in monolayer graphene. Unexpectedly, we find the CR transition energy exhibits large (up to 10%) and non-monotonic shifts as a…

Mesoscale and Nanoscale Physics · Physics 2010-02-17 E. A. Henriksen , P. Cadden-Zimansky , Z. Jiang , Z. Q. Li , L. -C. Tung , M. E. Schwartz , M. Takita , Y. -J. Wang , P. Kim , H. L. Stormer

The layered graphene systems exhibit the rich and unique excitation spectra arising from the electron-electron Coulomb interactions. The generalized tight-binding model is developed to cover the planar/buckled/cylindrical structures,…

Computational Physics · Physics 2019-01-15 Chiun-Yan Lin , Jhao-Ying Wu , Chih-Wei Chiu , Ming-Fa Lin

We analyze the phase diagram of the zeroth Landau level of bilayer graphene, taking into account the realistic effects of screening of the Coulomb interaction and the strong mixing between two degenerate sublevels. We identify robust…

Mesoscale and Nanoscale Physics · Physics 2014-02-05 Z. Papić , D. A. Abanin

There is an interesting proposal that the long-range Coulomb interaction in suspended graphene can generate a dynamical gap, which leads to a semimetal-insulator phase transition. We revisit this problem by solving the self-consistent…

Strongly Correlated Electrons · Physics 2015-06-04 Jing-Rong Wang , Guo-Zhu Liu

We analyze the inelastic electron-electron scattering in undoped graphene within the Keldysh diagrammatic approach. We demonstrate that finite temperature strongly affects the screening properties of graphene, which, in turn, influences the…

Strongly Correlated Electrons · Physics 2011-06-27 M. Schuett , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-28 Igor F. Herbut , Vladimir Juricic , Oskar Vafek

We study dynamics of electrons in a magnetic field using a network model with two channels per link with random mixing in a random intrachannel potential; the channels represent either two Landau levels or two spin states. We consider…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 V. Kagalovsky , B. Horovitz , Y. Avishai

Graphene properties can be manipulated by a periodic potential. Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. New chiral…

Strongly Correlated Electrons · Physics 2011-01-18 Lei Xu , Jin An , Chang-De Gong

Electrons in graphene have four flavors associated with low-energy spin and valley degrees of freedom. The fractional quantum Hall effect in graphene is dominated by long-range Coulomb interactions which are invariant under rotations in…

Strongly Correlated Electrons · Physics 2014-12-23 Fengcheng Wu , Inti Sodemann , Yasufumi Araki , Allan H. MacDonald , Thierry Jolicoeur

A number of quantum Hall isospin ferromagnetic (QHIFM) states have been predicted in the relativistic zero Landau level (LL) of graphene monolayer. These states, especially the states at LL filling factor v = 0 of charge-neutral graphene,…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Si-Yu Li , Yu Zhang , Long-Jing Yin , Lin He

A study of the effect of unscreened Coulomb interactions on the quantum spin Hall (QSH) phase of finite-width neutral zigzag graphene ribbons is presented. By solving a tight-binding Hamiltonian that includes the intrinsic spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mahdi Zarea , Carlos Büsser , Nancy Sandler

Insights into the fundamental properties of graphene's Dirac-Weyl fermions have emerged from studies of electron tunnelling transistors in which an atomically thin layer of hexagonal boron nitride (hBN) is sandwiched between two layers of…

The effect of an inhomogeneous magnetic field which varies inversely as distance on the ground state energy level of graphene is studied. In this work, we analytically show that graphene under the influence of a magnetic field arising from…

Strongly Correlated Electrons · Physics 2011-07-05 M. R. Setare , D. Jahani

We present a theory of electronic properties of gated triangular graphene quantum dots with zigzag edges as a function of size and carrier density. We focus on electronic correlations, spin and geometrical effects using a combination of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 P. Potasz , A. D. Guclu , A. Wojs , P. Hawrylak

We study the effect that the electron-electron interaction has on the properties of a multilayer electron system. We consider the case corresponding to filling factor unity in each layer. We find that as a function of the sample parameters…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Luis Brey
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