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The characteristic impedance of a microwave transmission line is typically constrained to a value $Z_0$ = 50 $ \Omega$, in-part because of the low impedance of free space and the limited range of permittivity and permeability realizable…

介观与纳米尺度物理 · 物理学 2019-07-24 Stefano Bosco , David P. DiVincenzo , David J. Reilly

Low-energy transport measurements in Quantum Hall systems have been argued to be governed by emergent modular symmetries whose predictions are robust against many of the detailed microscopic dynamics. We propose the recently-observed…

介观与纳米尺度物理 · 物理学 2008-11-26 C. P. Burgess , B. P. Dolan

The quantum Hall effect is a remarkable manifestation of quantized transport in a two-dimensional electron gas. Given its technological relevance, it is important to understand its development in realistic nanoscale devices. In this work we…

介观与纳米尺度物理 · 物理学 2013-01-08 I. J. Vera-Marun , P. J. Zomer , A. Veligura , M. H. D. Guimarães , L. Visser , N. Tombros , H. J. van Elferen , U. Zeitler , B. J. van Wees

Measurement and theory of the two-terminal conductance of monolayer and bilayer graphene in the quantum Hall regime are compared. We examine features of conductance as a function of gate voltage that allow monolayer, bilayer, and gapped…

介观与纳米尺度物理 · 物理学 2009-07-24 J. R. Williams , D. A. Abanin , L. DiCarlo , L. S. Levitov , C. M. Marcus

This paper presents an electrolytically gated broadband microwave sensor where atomically-thin graphene layers are integrated into coplanar waveguides and coupled with microfluidic channels. The interaction between a solution under test and…

We have analyzed the breakdown of the quantum Hall effect in 1 micrometer wide Hall devices fabricated from an exfoliated monolayer graphene transferred on SiOx. We have observed that the deviation of the Hall resistance from its quantized…

介观与纳米尺度物理 · 物理学 2013-04-02 Cenk Yanik , Ismet I. Kaya

We measure the conductance of a quantum point contact (QPC) while the biased tip of a scanning probe microscope induces a depleted region in the electron gas underneath. At finite magnetic field we find plateaus in the real-space maps of…

介观与纳米尺度物理 · 物理学 2014-03-17 Nikola Pascher , Clemens Rössler , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

We study the quantum Hall effect in a monolayer graphene by using an approach based on thermodynamical properties. This can be done by considering a system of Dirac particles in an electromagnetic field and taking into account of the edges…

介观与纳米尺度物理 · 物理学 2016-04-20 Ahmed Jellal

We have developed a device fabrication process to pattern graphene into nanostructures of arbitrary shape and control their electronic properties using local electrostatic gates. Electronic transport measurements have been used to…

介观与纳米尺度物理 · 物理学 2008-04-14 Barbaros Özyilmaz , Pablo Jarillo-Herrero , Dmitri Efetov , Dmitri A. Abanin , Leonid S. Levitov , Philip Kim

This paper describes a simple microwave apparatus to measure the Hall effect in semiconductor wafers. The advantage of this technique is that it does not require contacts on the sample or the use of a resonant cavity. Our method consists of…

介观与纳米尺度物理 · 物理学 2015-09-30 J. E. Coppock , J. R. Anderson , W. B. Johnson

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

For a sample of an arbitrary shape, the dependence of its conductance on the longitudinal and Hall conductivity is identical to that of a rectangle. We use analytic results for a conducting rectangle, combined with the semicircle model for…

介观与纳米尺度物理 · 物理学 2008-07-12 Dmitry A. Abanin , Leonid S. Levitov

Metrological investigations of the quantum Hall effect (QHE) completed by transport measurements at low magnetic field are carried out in a-few-$\mu\mathrm{m}$-wide Hall bars made of monolayer (ML) or bilayer (BL) exfoliated graphene…

介观与纳米尺度物理 · 物理学 2013-08-26 J. Guignard , D. Leprat , D. C. Glattli , F. Schopfer , W. Poirier

Four-terminal resistances, both longitudinal and diagonal, of a locally gated graphene device are measured in the quantum-Hall (QH) regime. In sharp distinction from previous two-terminal studies [J. R. Williams \textit{et al.}, Science…

介观与纳米尺度物理 · 物理学 2012-03-05 Dong-Keun Ki , Hu-Jong Lee

Charge carriers in the quantum Hall regime propagate via one-dimensional conducting channels that form along the edges of a two-dimensional electron gas. Controlling their transmission through a gate-tunable constriction, also called…

We have measured the quantum Hall effect in monolayer graphene samples that were exposed to a cold hydrogen plasma leading to a hydrogenation level of a few percent. Compared to pristine graphene, the Landau level distance significantly…

We report local conductivity imaging of edge states in monolayer graphene by millikelvin microwave impedance microscopy (MIM). At the charge-neutrality point, as the magnetic field increases, the local conductivity at the edge drops to zero…

Quantum Hall edge states have some characteristic features that can prove useful to measure and control solid state qubits. For example, their high voltage to current ratio and their dissipationless nature can be exploited to manufacture…

介观与纳米尺度物理 · 物理学 2019-07-17 Stefano Bosco , David P. DiVincenzo

We consider the absorption of microwaves by a quantum Hall droplet. We show that the number and velocities of charged edge modes can be directly measured from a droplet of known shape. In contrast to standard transport measurements,…

强关联电子 · 物理学 2013-10-30 Jennifer Cano , Andrew C. Doherty , Chetan Nayak , David J. Reilly

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…

介观与纳米尺度物理 · 物理学 2016-02-09 M. A. Hidalgo , R. Cangas
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