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Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron correlations, and give rise to novel condensed-matter…

In this study, we investigate the isolated magnetic interactions between two identical Fe atoms divacantly-substituted into graphene. Using density functional theory, we simulated the electronic and magnetic properties for a supercell of…

Strongly Correlated Electrons · Physics 2019-10-02 R. Putnam , A. V. Balatsky , J. T. Haraldsen

The electronic state of \alpha-type organic Dirac fermion systems such as \alpha-(ET)_2I_3 or \alpha-(BETS)_2I_3 has been studied under magnetic fields using the four-band tight-binding model with Peierls phase factors. The validity of the…

Mesoscale and Nanoscale Physics · Physics 2024-03-04 Toshihito Osada

The prototypical exciton model of two interacting Dirac particles in graphene was analyzed in [1] and it was found that in one of the electron-hole scattering channels the total kinetic energy vanishes, resulting in a singular behaviour. We…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Lachlan L. Marnham , Andrey V. Shytov

We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

Time-periodic perturbations due to classical electromagnetic fields are useful to engineer the topological properties of matter using the Floquet theory. Here we investigate the effect of quantized electromagnetic fields by focusing on the…

Strongly Correlated Electrons · Physics 2015-10-16 Balázs Gulácsi , Balázs Dóra

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

Monolayer staggered materials of the graphene family present intrinsic spin-orbit coupling and can be driven through several topological phase transitions using external circularly polarized lasers, and static electric or magnetic fields.…

Materials Science · Physics 2018-04-25 P. Ledwith , W. J. M. Kort-Kamp , D. A. R. Dalvit

The effects of mutual Coulomb interactions between Dirac fermions in monolayer graphene on the Hofstadter energy spectrum have been studied. Our studies indicate that the effects of the interaction depend strongly on the amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-29 Vadym Apalkov , Tapash Chakraborty

Graphene's honeycomb lattice structure underlies much of the remarkable physics inherent in this material, most strikingly through the formation of two ``flavors'' of Dirac cones for each spin. In the quantum Hall regime, the resulting…

Mesoscale and Nanoscale Physics · Physics 2010-01-12 Jason Alicea , Matthew P. A. Fisher

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

Twisted bilayer graphene near the magic angle is known to have a cascade of insulating phases at integer filling factors of the low-energy bands. In this Letter we address the nature of these phases through an unrestricted, large-scale…

Strongly Correlated Electrons · Physics 2024-09-30 Khagendra Adhikari , Kangjun Seo , K. S. D. Beach , Bruno Uchoa

We study the effects of an in-plane magnetic field on the ground state properties of both gapless and gapped graphene sheets within Random Phase Approximation. The critical magnetic field which leads to a fully spin polarized phase…

Mesoscale and Nanoscale Physics · Physics 2009-08-01 A. Qaiumzadeh , Reza Asgari

The electronic structure of graphene on Cu(111) and Cu(100) single crystals is investigated using low energy electron microscopy, low energy electron diffraction and angle resolved photoemission spectroscopy. On both substrates the graphene…

We use spin-density-functional theory (SDFT) ab initio calculations to theoretically explore the possibility of achieving useful gate control over exchange coupling between cobalt clusters placed on a graphene sheet. By applying an electric…

Materials Science · Physics 2013-04-11 Hua Chen , Qian Niu , Zhenyu Zhang , Allan H. MacDonald

In a system with a Dirac-like linear dispersion there are always states that fulfill the resonance condition for electromagnetic radiation of arbitrary frequency $\Omega$. When a flat band is present two kinds of resonant transitions are…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 M. A. Mojarro , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , R. Carrillo-Bastos , Gerardo G. Naumis

Even though graphene is a low energy system consisting of the two dimensional honeycomb lattice of carbon atoms, its quasi-particle excitations are fully described by the 2+1 dimensional relativistic Dirac equation. In this paper we show…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yugui Yao , Fei Ye , Xiao-Liang Qi , Shou-Cheng Zhang , Zhong Fang

We study the role of electron-electron interactions near integer and abelian fractional quantum Hall (QH) transitions using composite fermion (CF) representations. Interaction effects are encapsulated in CF theories as gauge fluctuations.…

Strongly Correlated Electrons · Physics 2022-08-26 Prashant Kumar , P. A. Nosov , S. Raghu

Magic-angle twisted bilayer graphene (MATBG) has been extensively explored both theoretically and experimentally as a suitable platform for a rich and tunable phase diagram that includes ferromagnetism, charge order, broken symmetries, and…

Mesoscale and Nanoscale Physics · Physics 2024-05-16 Lauro B. Braz , George B. Martins , Luis G. G. V. Dias da Silva

Because of the spin and Dirac-valley degrees of freedom, graphene allows the observation of one-, two- or four-component fractional quantum Hall effect in different parameter regions. We argue that some, though not all, apparently puzzling…

Strongly Correlated Electrons · Physics 2012-05-24 Csaba Toke , Jainendra K. Jain