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Under a magnetic field perpendicular to an monolayer graphene, the existence of a two-dimensional periodic scatter array can not only mix Landau levels of the same valley for displaying split electron-hole Hofstadter-type energy spectra,…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Danhong Huang , Andrii Iurov , Godfrey Gumbs , Liubov Zhemchuzhna

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 fractional quantum Hall effect is a very particular manifestation of electronic correlations in two-dimensional systems in a strong perpendicular magnetic field. It arises as a consequence of a strong Coulomb repulsion between electrons…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Mark O. Goerbig

Monolayer graphite films, or graphene, have quasiparticle excitations that can be described by 2+1 dimensional Dirac theory. We demonstrate that this produces an unconventional form of the quantized Hall conductivity $\sigma_{xy} = - (2…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. P. Gusynin , S. G. Sharapov

We study the influence of quantizing perpendicular magnetic fields on the ground state of a bilayer with electron and hole fluids separated by an opaque tunnel barrier. In the absence of a field, the ground state at low carrier densities is…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Bo Zou , Yongxin Zeng , A. H. MacDonald , Artem Strashko

Fractional Quantum Hall effect (FQHE) is a unique many-body phenomenon, which was discovered in a two-dimensional electron system placed in a strong perpendicular magnetic field. It is entirely due to the electron-electron interactions…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Vadym Apalkov , Tapash Chakraborty

Strong electric field annihilation by particle-antiparticle pair creation, also known as the Schwinger effect, is a non-perturbative prediction of quantum electrodynamics. Its experimental demonstration remains elusive, as threshold…

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

We analyse the interaction between charges and graphene layers. The electric polarisability of graphene induces a force, that can be described by an image charge. The analysis shows that graphene can be described as an imperfect conductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Francisco Guinea , Niels R. Walet

The present paper corresponds to the third work of the author related to the magnetotransport properties concerning on the graphene systems. In the first one the integer quantum Hall effect in the monolayer graphene, (MG), MGIQHE, was…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 M. A. Hidalgo , R. Cangas

The possibility to effect valley splitting of an electronic current in graphene represents the essential component in the new field of valleytronics in such two-dimensional materials. Based on a symmetry analysis of the scattering matrix,…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Mahmoud M. Asmar , Sergio E. Ulloa

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 J. Guillemette , S. S. Sabri , B. Wu , K. Bennaceur , P. E. Gaskell , M. Savard , P. L. Lévesque , F. Mahvash , A. Guermoune , M. Siaj , R. Martel , T. Szkopek , G. Gervais

In the paper a theoretical study the both the quantized energies of excitonic states and their wave functions in gapped graphene and in monolayer of MoS2 is presented. An integral two-dimensional Schr\"odinger equation of the electron-hole…

Mesoscale and Nanoscale Physics · Physics 2015-08-27 Lyubov E. Lokot

We derive the angular generation density of photoexcited carriers in gapless and gapped Bernal bilayer graphene. Exploiting the strong anisotropy of the band structure of bilayer graphene at low energies due to trigonal warping, we show…

Mesoscale and Nanoscale Physics · Physics 2024-09-16 T. J. Osborne , M. E. Portnoi , E. Mariani

We consider the orbital effect of an in-plane magnetic field on electrons in bilayer graphene, deriving linear-in-field contributions to the low-energy Hamiltonian arising from the presence of either skew interlayer coupling or interlayer…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Narjes Kheirabadi , Edward McCann , Vladimir I. Fal'ko

The unusual quantum Hall effect (QHE) in graphene is often discussed in terms of Dirac fermions moving with a linear dispersion relation. The same phenomenon will be explained in terms of the more traditional composite bosons, which move…

Superconductivity · Physics 2016-01-18 Shigeji Fujita , Akira Suzuki

We consider ground state of electron-hole graphene bilayer composed of two independently doped graphene layers when a condensate of spatially separated electron-hole pairs is formed. In the weak coupling regime the pairing affects only…

Mesoscale and Nanoscale Physics · Physics 2011-07-26 Yu. E. Lozovik , A. A. Sokolik

Parallel-field Hall effect is the appearance of a Hall voltage $V_{\rm H}$ that is transverse to the current $I$ when the magnetic field $B$ is applied parallel to $I$ (i.e. $B \parallel I \perp V_{\rm H}$). Such an effect is symmetry…

Materials Science · Physics 2025-08-21 Yongjian Wang , Thomas Boemerich , A. A. Taskin , Achim Rosch , Yoichi Ando

Graphene is characterized by chiral electronic excitations. As such it provides a perfect testing ground for the production of Klein pairs (electron/holes). If confirmed, the standard results for barrier phenomena must be reconsidered with,…

Quantum Physics · Physics 2015-06-04 Stefano De Leo , Pietro Rotelli

We uncover a new origin of the planar Hall effect - as an intrinsic property of layer coherent electrons - that exists even in bilayer and trilayer atomically thin limit. It reforms the existing theories requiring three-dimensional orbital…

Mesoscale and Nanoscale Physics · Physics 2025-06-13 Huiyuan Zheng , Dawei Zhai , Cong Xiao , Wang Yao