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Mirror-symmetric magic-angle twisted trilayer graphene (MATTG) hosts flat electronic bands close to zero energy, and has been recently shown to exhibit abundant correlated quantum phases with flexible electrical tunability. However studying…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 Cheng Shen , Patrick J. Ledwith , Kenji Watanabe , Takashi Taniguchi , Eslam Khalaf , Ashvin Vishwanath , Dmitri K. Efetov

Electrons in graphene aligned with hexagonal boron nitride are modelled by Dirac fermions in a correlated random-mass landscape subject to a scalar- and vector-potential disorder. We find that the system is insulating in the commensurate…

Mesoscale and Nanoscale Physics · Physics 2014-09-15 M. Titov , M. I. Katsnelson

The Dirac equation is solved for triangular and hexagonal graphene quantum dots for different boundary conditions in the presence of a perpendicular magnetic field. We analyze the influence of the dot size and its geometry on their energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 M. Zarenia , A. Chaves , G. A. Farias , F. M. Peeters

We study magneto--optical properties of monolayer graphene by means of quantum field theory methods in the framework of the Dirac model. We reveal a good agreement between the Dirac model and a recent experiment on giant Faraday rotation in…

Mesoscale and Nanoscale Physics · Physics 2012-11-30 I. V. Fialkovsky , D. V. Vassilevich

This is a short review of two-dimensional Dirac fermions in graphene and similar systems such as boron nitride, quasi-2D organic salts $\alpha$-(BEDT-TTF)$_2$I$_3$, artificial graphene with cold atoms in optical lattices, etc. The emphasis…

Mesoscale and Nanoscale Physics · Physics 2013-06-04 Jean-Noel Fuchs

The Dirac-like quasiparticles in honeycomb graphene lattice are taken to possess a non-zero effective mass. The charge carriers involve to interact with a femtosecond strong laser pulse. Due to the scattering time of electrons in graphene…

Mesoscale and Nanoscale Physics · Physics 2017-01-31 Z. Ahmadi , H. Goudarzi , A. Jafari

We have measured magnetoresistance of suspended graphene in the Corbino geometry at magnetic fields up to $B=0.15\,$T, i.e., in a regime uninfluenced by Shubnikov-de Haas oscillations. The low-temperature relative magnetotoresistance…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Masahiro Kamada , Vanessa Gall , Jayanta Sarkar , Manohar Kumar , Antti Laitinen , Igor Gornyi , Pertti Hakonen

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

Dirac electrons in graphene are to lowest order spin 1/2 particles, owing to the orbital symmetries at the Fermi level. However, anisotropic corrections in the $g$-factor appear due to the intricate spin-valley-orbit coupling of chiral…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Marta Prada , Lars Tiemann , Jonas Sichau , Robert H Blick

Van der Waals structures formed by aligning monolayer graphene with insulating layers of hexagonal boron nitride exhibit a moir\'e superlattice that is expected to break sublattice symmetry. Despite an energy gap of several tens of…

Electronic properties of materials are commonly described by quasiparticles that behave as non-relativistic electrons with a finite mass and obey the Schroedinger equation. Here we report a condensed matter system where electron transport…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 K. S. Novoselov , A. K. Geim , S. V. Morozov , D. Jiang , M. I. Katsnelson , I. V. Grigorieva , S. V. Dubonos , A. A. Firsov

We theoretically study magnetic field, temperature, and energy band-gap dependences of magnetizations in the Dirac fermions. We use the zeta function regularization to obtain analytical expressions of thermodynamic potential, from which the…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 F. R. Pratama , M. Shoufie Ukhtary , Riichiro Saito

We compute the magnetization of graphene in a magnetic field, taking into account for generality the possibility of a mass gap. We concentrate on the physical regime where quantum oscillations are not observed due to the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Sergey Slizovskiy , Joseph Betouras

We study theoretically magnetoresistance (MR) of graphene with different types of disorder. For short-range disorder, the key parameter determining magnetotransport properties---a product of the cyclotron frequency and scattering…

Disordered Systems and Neural Networks · Physics 2014-09-11 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii

Graphene, a one-atom thick zero gap semiconductor [1, 2], has been attracting an increasing interest due to its remarkable physical properties ranging from an electron spectrum resembling relativistic dynamics [3-12] to ballistic transport…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 T. O. Wehling , K. S. Novoselov , S. V. Morozov , E. E. Vdovin , M. I. Katsnelson , A. K. Geim , A. I. Lichtenstein

By solving two-component spinor equation for massless Dirac Fermions, we show that graphene under a periodic external magnetic field exhibits a unique energy spectrum: At low energies, Dirac Fermions are localized inside the magnetic region…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Shuanglong Liu , Argo Nurbawono , Na Guo , Chun Zhang

In neutral graphene dots the Fermi level coincides with the Dirac points. We have investigated in the presence of a magnetic field several unusual properties of single electron states near the Fermi level of such a rectangular-shaped…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 S. C. Kim , P. S. Park , S. -R. Eric Yang

We report on far infrared magneto-transmission measurements on a thin graphite sample prepared by exfoliation of highly oriented pyrolytic graphite. In magnetic field, absorption lines exhibiting a blue-shift proportional to sqrtB are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Orlita , C. Faugeras , G. Martinez , D. K. Maude , M. L. Sadowski , M. Potemski

The electron-hole plasma in charge-neutral graphene is predicted to realize a quantum critical system whose transport features a universal hydrodynamic description, even at room temperature. This quantum critical "Dirac fluid" is expected…

We have mapped the Dirac point in exfoliated monolayer and bilayer graphene using spatially resolved scanning tunneling spectroscopy (STS) measurements at low temperature. The Dirac point shifts in energy at different locations in graphene.…

Mesoscale and Nanoscale Physics · Physics 2011-02-02 A. Deshpande , W. Bao , Z. Zhao , C. N. Lau , B. J. LeRoy
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