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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…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 J. Guignard , D. Leprat , D. C. Glattli , F. Schopfer , W. Poirier

Quantum electron transport in side-gated graphene Hall bars is investigated in the presence of quantizing external magnetic fields. The asymmetric potential of four side-gates distorts the otherwise flat bands of the relativistic Landau…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 M. D. Petrović , F. M. Peeters

We performed thermoelectric Hall conductivity $\alpha_{xy}$ measurements on single-crystal graphite in the quantum limit up to 13 T. Both electrical and thermoelectric transport measurements were performed on the same crystal to extract…

Mesoscale and Nanoscale Physics · Physics 2023-05-08 Andhika Kiswandhi , Tomotaka Ochi , Toshihiro Taen , Mitsuyuki Sato , Kazuhito Uchida , Toshihito Osada

We employ a dual-gated geometry to control the band gap \Delta in bilayer graphene and study the temperature dependence of the resistance at the charge neutrality point, RNP(T), from 220 to 1.5 K. Above 5 K, RNP(T) is dominated by two…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 K. Zou , J. Zhu

We report on the observation of the quantum Hall effect at high temperatures in HgTe quantum wells with a finite band gap and a thickness below and above the critical thickness $d_\textnormal{c}$ that separates a conventional semiconductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 T. Khouri , M. Bendias , P. Leubner , C. Brüne , H. Buhmann , L. W. Molenkamp , U. Zeitler , N. E. Hussey , S. Wiedmann

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

Electrons and holes in clean, charge-neutral graphene behave like a strongly coupled relativistic liquid. The thermo-electric transport properties of the interacting Dirac quasiparticles are rather special, being constrained by an emergent…

Strongly Correlated Electrons · Physics 2017-08-23 Markus Mueller , Lars Fritz , Subir Sachdev , Joerg Schmalian

We present a single electron approach to analyse the magnetotransport properties of the monolayer graphene as a function of both, the gate voltage and the magnetic field; and, also, their evolution with temperature. The model proposed means…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 M. A. Hidalgo

The quantum Hall effect (QHE) theoretically provides a universal standard of electrical resistance in terms of the Planck constant $h$ and the electron charge $e$. In graphene, the spacing between the lowest discrete energy levels occupied…

Mesoscale and Nanoscale Physics · Physics 2015-04-27 R. Ribeiro-Palau , F. Lafont , J. Brun-Picard , D. Kazazis , A. Michon , F. Cheynis , O. Couturaud , C. Consejo , B. Jouault , W. Poirier , F. Schopfer

We theoretically study transport in two-dimensional semimetals. Typically, electron and hole puddles emerge in the transport layer of these systems due to smooth fluctuations in the potential. We calculate the electric response of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Michael Knap , Jay D. Sau , Bertrand I. Halperin , Eugene Demler

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.…

We report on quantum-interference measurements in top-gated Hall bars of monolayer graphene epitaxially grown on the Si face of SiC, in which the transition from negative to positive magnetoresistance was achieved varying temperature and…

Mesoscale and Nanoscale Physics · Physics 2013-12-06 Andrea Iagallo , Shinichi Tanabe , Stefano Roddaro , Makoto Takamura , Hiroki Hibino , Stefan Heun

The miniaturization of quantum Hall resistance standards (QHRS) using epitaxial graphene on silicon carbide necessitates understanding how device dimensions impact performance. This study reveals a pronounced scale-dependent carrier density…

An algorithm is introduced for predicting quantized resistances in graphene p-n junction devices that utilize more than a single entry and exit point for electron flow. Depending on the configuration of an arbitrary number of terminals,…

The carrier density and temperature dependence of the Hall mobility in mono-, bi- and tri-layer graphene has been systematically studied. We found that as the carrier density increases, the mobility decreases for mono-layer graphene, while…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Wenjuan Zhu , Vasili Perebeinos , Marcus Freitag , Phaedon Avouris

Observations of electron-hole asymmetry in transport through graphene devices at high magnetic field challenge prevalent models of the graphene quantum Hall effect. Here, we study this asymmetry both in conventional magnetotransport and in…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Nicolas Moreau , Boris Brun , Sowmya Somanchi , Kenji Watanabe , Takashi Taniguchi , Christoph Stampfer , Benoît Hackens

We report on the stability of the quantum Hall plateau in wide Hall bars made from a chemically gated graphene film grown on SiC. The $\nu=2$ quantized plateau appears from fields $B \simeq 5$ T and persists up to $B \simeq 80$ T. At high…

Mesoscale and Nanoscale Physics · Physics 2019-03-26 M. Yang , O. Couturaud , W. Desrat , C. Consejo , D. Kazazis , R. Yakimova , M. Syväjärvi , M. Goiran , J. Béard , P. Frings , M. Pierre , A. Cresti , W. Escoffier , B. Jouault

The effect of an electron-hole puddle on the electrical transport when governed by snake states in a bipolar graphene structure is investigated. Using numerical simulations we show that information on the size and position of the…

Mesoscale and Nanoscale Physics · Physics 2016-03-25 Slavisa P. Milovanovic , Francois M. Peeters

The integer quantum Hall states at fillings $\nu = 0$ and $|\nu| = 1$ in monolayer graphene have drawn much attention as they are generated by electron-electron interactions. Here we explore aspects of the $\nu = 0$ and $|\nu| = 1$ quantum…

Strongly Correlated Electrons · Physics 2020-11-09 Hank Chen , Matthew R. C. Fitzpatrick , Sujit Narayanan , Bitan Roy , Malcolm P. Kennett

The resistivity of gated graphene is studied taking into account electron and hole scattering by short- and long-range structural imperfections the characteristics of disorder were taken from the scanning tunneling microscopy data and by…

Materials Science · Physics 2007-12-29 F. T. Vasko , V. Ryzhii