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We calculate the Hall viscosity and the nonlocal (i.e., dependent on wave vector $\bm q$) Hall conductivity of "gapped graphene" (a non-topological insulator with two valleys) in the presence of a strong perpendicular magnetic field. Using…

介观与纳米尺度物理 · 物理学 2019-09-17 Mohammad Sherafati , Giovanni Vignale

Materials subjected to a magnetic field exhibit the Hall effect, a phenomenon studied and understood in fine detail. Here we report a qualitative breach of this classical behavior in electron systems with high viscosity. The viscous fluid…

We study the dissipative and Hall viscosity of a disordered noninteracting 2D electrons, both analytically and numerically. Analytically, we employ the self-consistent Born approximation, explicitly taking into account the modification of…

介观与纳米尺度物理 · 物理学 2019-07-17 I. S. Burmistrov , M. Goldstein , M. Kot , V. D. Kurilovich , P. D. Kurilovich

Viscous phenomena are the hallmark of the hydrodynamic flow exhibited by Dirac fermions in clean graphene at high enough temperatures. We report a quantitative calculation of the electronic shear and Hall viscosities in graphene based on…

介观与纳米尺度物理 · 物理学 2019-07-31 B. N. Narozhny , M. Schütt

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

介观与纳米尺度物理 · 物理学 2011-11-24 M. O. Goerbig

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…

The Hall conductivity in a weak homogeneous magnetic field, $\omega_{c}\tau \ll 1$, is calculated. We have shown that to leading order in $1/\epsilon_{F}\tau$ the Hall coefficient $R_{H}$ is not renormalized by the electron-electron…

强关联电子 · 物理学 2007-05-23 M. Khodas , A. M. Finkel'stein

The electromagnetic response of graphene in a magnetic field is studied, with particular emphasis on the quantum features of its ground state (vacuum). The graphene vacuum, unlike in conventional quantum Hall systems, is a dielectric medium…

介观与纳米尺度物理 · 物理学 2009-11-13 K. Shizuya

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

介观与纳米尺度物理 · 物理学 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

The present article has addressed the finite magnetic field extension of the previous work by Cho et al. (Phys. Rev. B 108, 235172, 2023) on microscopic calculation of shear viscosity for electron fluid in graphene system. Our calculation…

强关联电子 · 物理学 2026-03-12 Cho Win Aung , Thandar Zaw Win , Subhalaxmi Nayak , Sabyasachi Ghosh

Magnetoresistance and Hall coefficient of a graphene layer are investigated in the presence of a tilted magnetic field. We consider the graphene layer is assembled by either another graphene layer or a two-dimensional electron gas (2DEG)…

材料科学 · 物理学 2015-06-19 Fariborz Parhizgar , Reza Asgari

In this article we review the quantum Hall physics of graphene based two-dimensional electron systems, with a special focus on recent experimental and theoretical developments. We explain why graphene and bilayer graphene can be viewed…

介观与纳米尺度物理 · 物理学 2015-05-30 Yafis Barlas , Kun Yang , A. H. MacDonald

We explore the non-equilibrium transport regime in graphene using a large dc current in combination with a perpendicular magnetic field. The strong in-plane Hall field that is generated in the bulk of the graphene channel results in Landau…

介观与纳米尺度物理 · 物理学 2025-03-11 Mrityunjay Pandey , Kenji Watanabe , Takashi Taniguchi , Srinivasan Raghavan , U. Chandni

We have produced ultrathin epitaxial graphite films which show remarkable 2D electron gas (2DEG) behavior. The films, composed of typically 3 graphene sheets, were grown by thermal decomposition on the (0001) surface of 6H-SiC, and…

The combination of Dirac physics and elasticity has been explored at length in graphene where the so--called "elastic gauge fields" have given rise to an entire new field of research and applications: Straintronics. The fact that these…

介观与纳米尺度物理 · 物理学 2016-07-13 Alberto Cortijo , Yago Ferreirós , Karl Landsteiner , María A. H. Vozmediano

In this comment it is pointed out that the electron velocity of the same order as observed in graphene had been measured in GaAs submicron devices long ago. Particle- antiparticle asymmetry related with electron and hole effective masses in…

综合物理 · 物理学 2007-05-29 S. C. Tiwari

A general discussion of graphene in external electromagnetic field is provided. In general, the formulation is not Lorentz invariant because of Zeeman energy. But it can be restored approxiamtely in the case of strong magnetic field, the…

介观与纳米尺度物理 · 物理学 2010-06-22 Sze-Shiang feng , Mogus Mochena

Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional (2D) systems with broken time-reversal symmetry. In the classical regime, Hall viscosity contributes to the viscous flow of 2D electrons…

介观与纳米尺度物理 · 物理学 2018-10-16 G. M. Gusev , A. D. Levin , E. V. Levinson , A. K. Bakarov

We show that when bulk graphene breaks into n-type and p-type puddles, the in-plane resistivity becomes strongly field dependent in the presence of a perpendicular magnetic field, even if homoge- neous graphene has a field-independent…

介观与纳米尺度物理 · 物理学 2010-04-02 Rakesh P. Tiwari , D. Stroud

Graphene hosts a unique electron system in which electron-phonon scattering is extremely weak but electron-electron collisions are sufficiently frequent to provide local equilibrium above liquid nitrogen temperature. Under these conditions,…

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