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We develop a theory for the optical conductivity of doped multilayer graphene including the effects of electron-electron interactions. Applying the quantum kinetic formalism, we formulate a set of pseudospin Bloch equations that governs the…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Xiao Li , Wang-Kong Tse

The Quantum Hall Effect for free electrons in external periodic field is discussed without using the linear response approximation. We find that the Hall conductivity is related in a simple way to Floquet energies (associated to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ruggero Ferrari

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

An approach that has been given promising results concerning investigations on the physics of graphene is the so-called reduced quantum electrodynamics. In this work we consider the natural generalization of this formalism to curved spaces.…

Mesoscale and Nanoscale Physics · Physics 2021-03-26 P. I. C. Caneda , G. Menezes

There are compelling reasons to seek a new coherent description of the Quantum Hall Effects (QHE). The theories of the `Integer' (IQHE) and the `Fractional' (FQHE) quantum Hall effects are very different at present, despite their remarkable…

General Physics · Physics 2021-10-04 C. S. Unnikrishnan

We study the Euclidean effective action per unit area and the charge density for a Dirac field in a two--dimensional spatial region, in the presence of a uniform magnetic field perpendicular to the 2D--plane, at finite temperature and…

High Energy Physics - Theory · Physics 2008-11-26 C. G. Beneventano , Paola Giacconi , E. M. Santangelo , Roberto Soldati

The fractional quantum Hall effect (FQHE) of topological surface-state particles under a tilted strong magnetic field is theoretically studied by using the exact diagonalization method. The Haldane's pseudopotentials for the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Fawei Zheng , Zhigang Wang , Zhen-Guo Fu , Ping Zhang

In this paper, we study both the continuous model and the discrete model of the Quantum Hall Effect (QHE) on the hyperbolic plane. The Hall conductivity is identified as a geometric invariant associated to an imprimitivity algebra of…

dg-ga · Mathematics 2008-11-26 A. Carey , K. Hannabus , V. Mathai , P. McCann

Semiconductor interfaces, such as these existing in multilayer structures (e.g., quantum wells (QWs)), are interesting because of their ability to form 2D electron gases (2DEGs), in which charge carriers behave completely differently than…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Aleksandr Kazakov , Tomasz Wojtowicz

We extend the electrodynamics of two dimensional electron gases to account for the extrinsic spin Hall effect (SHE). The theory is applied to doped graphene decorated with a random distribution of absorbates that induce spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Chunli Huang , Yidong Chong , Giovanni Vignale , Miguel A. Cazalilla

We recently shown, using tight-binding calculations, that nonequilibrium valley polarization can be realized in graphene, when the current is injected through "valley filter": a ballistic point contact with zigzag edges. Here we…

Mesoscale and Nanoscale Physics · Physics 2008-05-23 Adam Rycerz

The interaction between electrons in graphene under high magnetic fields drives the formation of a rich set of quantum Hall ferromagnetic phases (QHFM), with broken spin or valley symmetry. Visualizing atomic scale electronic wavefunctions…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Xiaomeng Liu , Gelareh Farahi , Cheng-Li Chiu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

An effective quantum field theory description of graphene in the ultra-relativistic regime is given by reduced QED aka. pseudo QED aka. mixed-dimensional QED. It has been speculated in the literature that reduced QED constitutes an example…

High Energy Physics - Theory · Physics 2019-03-06 D. Dudal , A. J. Mizher , P. Pais

Graphene enables precise carrier-density control via gating, making it an ideal platform for studying electronic interactions. However, sample inhomogeneities often limit access to the low-density regimes where these interactions dominate.…

Theoretical investigation of Dirac electrons in electrically modulated graphene under perpendicular magnetic field B is presented. We have carried out a detailed study of modulation effect on Dirac electrons, which determine its electrical…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 M Arsalan Ali

We investigate the theory of the fractional quantum Hall effect (QHE) proposed a long time ago by Lopez and Fradkin \cite{Fradkin1991chern} to describe the principal Jain series. The magnetic fluxes of the statistical gauge field attached…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 M. Selch , M. A. Zubkov , Souvik Pramanik , M. Lewkowicz

Graphene's exceptional electronic mobility, gate-tunability, and contact transparency with superconducting materials make it ideal for exploring the superconducting proximity effect. However, the work function difference between graphene…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Seong Jang , Geon-Hyoung Park , Sein Park , Hyeon-Woo Jeong , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee

We report several quantum interference effects in graphene grown by chemical vapor deposition. A crossover between weak localization and weak antilocalization effects is observed when varying the gate voltage and we discuss the underlying…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Nam-Hee Kim , Yun-Sok Shin , Serin Park , Hong-Seok Kim , Jun Sung Lee , Chi Won Ahn , Jeong-O Lee , Yong-Joo Doh

The algebra of observables of planar electrons subject to a constant background magnetic field B is given by A_theta(R^2) x A_theta(R^2) the product of two mutually commuting Moyal algebras. It describes the free Hamiltonian and the guiding…

High Energy Physics - Theory · Physics 2008-11-26 A. P. Balachandran , Kumar S. Gupta , Seckin Kurkcuoglu

Recent low-temperature electron transport experiments in high-quality graphene rely on a technique of doped graphene leads, where the coupling between the graphene flake and its metallic contacts is increased by locally tuning graphene to…

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