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We derive an analytic expression for the geometric Hall viscosity of non-interacting electrons in a single graphene layer in the presence of a perpendicular magnetic field. We show that a recently-derived formula in [C. Hoyos and D. T. Son,…

介观与纳米尺度物理 · 物理学 2016-09-19 Mohammad Sherafati , Alessandro Principi , Giovanni Vignale

We develop a unified viscous hydrodynamics for charge and valley transport in gapped graphene in the quantum Hall regime. We redefine Hall viscosity as a response to static electric-field gradients instead of strain, establishing a…

介观与纳米尺度物理 · 物理学 2025-10-02 Danyu Shu , Hiroshi Funaki , Ai Yamakage , Ryotaro Sano , Mamoru Matsuo

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…

Motivated by Hall viscosity measurements in graphene sheets, we study hydrodynamic transport of electrons in a channel of finite width in external electric and magnetic fields. We consider electric charge densities varying from close to the…

We calculate the conductance G of a bipolar junction in a graphene nanoribbon, in the high-magnetic field regime where the Hall conductance in the p-doped and n-doped regions is 2e^2/h. In the absence of intervalley scattering, the result…

介观与纳米尺度物理 · 物理学 2013-07-09 J. Tworzydlo , I. Snyman , A. R. Akhmerov , C. W. J. Beenakker

The breaking of parity and time-reversal symmetry in two-dimensional Fermi liquids gives rise to non-dissipative transport features characterized by the Hall viscosity. In magnetic fields, the Hall viscous force directly competes with the…

We apply Laughlin's gauge argument to analyze the $\nu=0$ quantum Hall effect observed in graphene when the Fermi energy lies near the Dirac point, and conclude that this necessarily leads to divergent bulk longitudinal resistivity in the…

介观与纳米尺度物理 · 物理学 2009-08-09 S. Das Sarma , Kun Yang

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

Graphene subject to high levels of shear strain leads to strong pseudo-magnetic fields resulting in the emergence of Landau levels. Here we show that, with modest levels of strain, graphene can also sustain a classical valley hall effect…

介观与纳米尺度物理 · 物理学 2017-03-01 Xian-Peng Zhang , Chunli Huang , Miguel A. Cazalilla

We show through both theoretical arguments and numerical calculations that graphene discerns an unconventional sequence of quantized Hall conductivity, when subject to both magnetic fields (B) and strain. The latter produces time-reversal…

介观与纳米尺度物理 · 物理学 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

We study graphene with an adsorbed spin texture, where the localized spins create a periodic magnetic flux. The latter produces gaps in the graphene spectrum and breaks the valley symmetry. The resulting effective electronic model, which is…

材料科学 · 物理学 2011-03-31 Antonio Hill , Andreas Sinner , Klaus Ziegler

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

We show that the conservation of the valley density in multivalley insulators is broken in an unexpected way by the electric field that drives the valley Hall effect. This implies that time-reversal-invariant fully gapped insulators, in…

介观与纳米尺度物理 · 物理学 2025-07-15 Alexander Kazantsev , Amelia Mills , Eoin O'Neill , Hao Sun , Giovanni Vignale , Alessandro Principi

We report on the emergence of bulk, valley-polarized currents in graphene-based devices, driven by spatially varying regions of broken sublattice symmetry, and revealed by non-local resistance ($R_\mathrm{NL}$) fingerprints. By using a…

介观与纳米尺度物理 · 物理学 2021-03-10 Thomas Aktor , Jose H. Garcia , Stephan Roche , Antti-Pekka Jauho , Stephen R. Power

When smooth, zero-on-average, periodic magnetic and electric fields are applied to a carbon mono-layer (graphene), a gap between the valence and conduction band is introduced. Here this gapped state is studied analytically. It is found that…

介观与纳米尺度物理 · 物理学 2013-02-25 I. Snyman

We consider the time-reversal odd dynamics of the bilayer graphene at low energies in the quantum Hall regime. A generating functional for the effective action that captures the electromagnetic response to all orders in momentum and…

介观与纳米尺度物理 · 物理学 2021-02-04 Wei-Han Hsiao

A possible realization of Hall conductivity, quantized at odd integer factors of $e^2/h$ for graphene's honeycomb lattice is proposed. I argue that, in the presence of \emph{uniform} real and pseudo-magnetic fields, the valley degeneracy…

介观与纳米尺度物理 · 物理学 2011-08-16 Bitan Roy

We compute the Hall viscosity and conductivity of non-relativistic two-dimensional chiral superconductors, where fermions pair due to a short-range attractive potential, e.g. $p+\mathrm{i}p$ pairing, and interact via a long-range repulsive…

超导电性 · 物理学 2020-07-16 Félix Rose , Omri Golan , Sergej Moroz

Graphene Hall effect magnetic field sensors hold great promise for the development of ultra-sensitive magnetometers. Their performance is frequently analysed using the two-channel model where electron and hole conductivities are simply…

介观与纳米尺度物理 · 物理学 2024-10-08 Lionel Petit , Tom Fournier , Géraldine Ballon , Cédric Robert , Delphine Lagarde , Pascal Puech , Thomas Blon , Benjamin Lassagne

In this study, we conducted a numerical investigation on the Hall conductance ($\sigma_{Hall}$) of graphene based on the magnetic energy band structure calculated using a nonperturbative magnetic-field-containing relativistic tight-binding…

介观与纳米尺度物理 · 物理学 2023-09-25 Md. Abdur Rashid , Masahiko Higuchi , Katsuhiko Higuch
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