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We demonstrate the use of a quantum transport model to study heavily graded graphene p-n junctions in the quantum Hall regime. A combination of p-n interface roughness and delta function disorder potential allows us to compare experimental…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 Samuel W LaGasse , Ji Ung Lee

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…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Ahmed Jellal

Experimental studies of the transitions from a primary quantum Hall (QH) liquid at filling factor 1/k (with k an odd integer) to the insulator have indicated a ``quantized Hall insulator'' (QHI) behavior: while the longitudinal resistivity…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Efrat Shimshoni

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…

Mesoscale and Nanoscale Physics · Physics 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

We report localization of fractional quantum Hall (QH) quasiparticles on graphene antidots. By studying coherent tunneling through the localized QH edge modes on the antidot, we measured the QH quasiparticle charges to be approximately $\pm…

Mesoscale and Nanoscale Physics · Physics 2020-11-26 Scott M. Mills , Dmitri V. Averin , Xu Du

We have observed quantization of the diagonal resistance, R_xx, at the edges of several quantum Hall states. Each quantized R_xx value is close to the difference between the two adjacent Hall plateaus in the off-diagonal resistance, R_xy.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 W. Pan , J. S. Xia , H. L. Stormer , D. C. Tsui , C. L. Vicente , E. D. Adams , N. S. Sullivan , L. N. Pfeiffer , K. W. Baldwin , K. W. West

We have studied quantized transport in HgTe wells with inverted band structure corresponding to the two-dimensional topological insulator phase (2D TI) with locally-controlled density allowing n-p-n and n-2D TI-n junctions. The resistance…

Mesoscale and Nanoscale Physics · Physics 2013-02-15 G. M. Gusev , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

The recent observation of fractional quantum Hall effect in high mobility suspended graphene devices introduced a new direction in graphene physics, the field of electron-electron interaction dynamics. However, the technique used currently…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 N. Tombros , A. Veligura , J. Junesch , J. J. van den Berg , P. J. Zomer , M. Wojtaszek , I. J. Vera-Marun , H. T. Jonkman , B. J. van Wees

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

We report on a comparison of four GaAs/AlGaAs-based quantum resistance standards using an original technique adapted from the well-known Wheatstone bridge. This work shows that the quantized Hall resistance at Landau level filling factor…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Félicien Schopfer , Wilfrid Poirier

The Fermi energies of electrons and holes and their densities in different graphene layers (GLs) in the n- and p-regions of the electrically induced n-i-p junctions formed in multiple-GL structures are calculated both numerically and using…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Ryzhii , V. Ryzhii , T. Otsuji , V. Mitin , M. S. Shur

The wave nature of electrons in low-dimensional structures manifests itself in conventional electrical measurements as a quantum correction to the classical conductance. This correction comes from the interference of scattered electrons…

Mesoscale and Nanoscale Physics · Physics 2009-03-27 F. V. Tikhonenko , A. A. Kozikov , A. K. Savchenko , R. V. Gorbachev

Graphene revealed a number of unique properties beneficial for electronics. However, graphene does not have an energy band-gap, which presents a serious hurdle for its applications in digital logic gates. The efforts to induce a band-gap in…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Guanxiong Liu , Sonia Ahsan , Alexander G. Khitun , Roger K. Lake , Alexander A. Balandin

We fabricated graphene pnp devices, by embedding pre-defined local gates in an oxidized surface layer of a silicon substrate. With neither dielectric-material deposition nor electron-beam irradiation on the graphene, we obtained…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Seung-Geol Nam , Dong-Keun Ki , Jong Wan Park , Youngwook Kim , Jun Sung Kim , Hu-Jong Lee

This work introduces a pseudofractal analysis for optimizing high-resistance graphene-based quantized Hall array resistance standards (QHARS). The development of resistance standard device designs through star-mesh transformations is…

Quantum confined devices that manipulate single electrons in graphene are emerging as attractive candidates for nanoelectronics applications. Previous experiments have employed etched graphene nanostructures, but edge and substrate disorder…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Monica T. Allen , Jens Martin , Amir Yacoby

We report magnetotransport measurements on a single-layer graphene in pulsed magnetic fields up to $B$ = 53 T. With either electron- or hole-type charge carriers, the Hall resistance $R_{H}$ is quantized into $R_{H}$ = $(h/e^2)\nu ^{-1}$…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Satoru Masubuchi , Ken-ichi Suga , Masashi Ono , Koichi Kindo , Shojiro Takeyama , Tomoki Machida

The quantum Hall effect in Graphene nano-ribbons (GNR) is investigated with the non-equilibrium Green s function (NEGF) based quantum transport model in the ballistic regime. The nearest neighbor tight-binding model based on pz orbital…

Mesoscale and Nanoscale Physics · Physics 2008-01-09 Roksana Golizadeh-Mojarad , A. N. M. Zainuddin , Gerhard Klimeck , Supriyo Datta

We consider an effective model for graphene with interface-induced spin-orbit coupling and calculate the quantum Hall effect in the low-energy limit. We perform a systematic analysis of the contribution of the different terms of the…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Tarik P. Cysne , Jose H. Garcia , Alexandre R. Rocha , Tatiana G. Rappoport

Coulomb blockade is observed in a graphene nanoribbon device with a top gate. When two pn junctions are formed via the back gate and the local top gate, electrons are confined between the pn junctions which act as the barriers. When no pn…

Mesoscale and Nanoscale Physics · Physics 2009-12-11 Xinglan Liu , Jeroen B. Oostinga , Alberto F. Morpurgo , Lieven M. K. Vandersypen