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Evidence of both fractional and integer quantum hall effects (QHE) in three dimensional bulk replica opal (250nm diameter) structures of non-crystalline carbon are presented. In a remarkably soft quantum limit of ~ 40K temperature and about…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Timir Datta , Michael Bleiweiss , Anca Lungu , Ming Yin , Zafar Iqbal

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 report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

We report experimental observation of the reentrant integer quantum Hall effect in graphene, appearing in the N$=$2 Landau level. Similar to high-mobility GaAs/AlGaAs heterostructures, the effect is due to a competition between…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Shaowen Chen , Rebeca Ribeiro-Palau , Kang Yang , Kenji Watanabe , Takashi Taniguchi , James Hone , Mark O. Goerbig , Cory R. Dean

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 investigate low-temperature magneto-transport in recently developed, high-quality multi-terminal suspended bilayer graphene devices, enabling the independent measurement of the longitudinal and transverse resistance. We observe clear…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Dong-Keun Ki , Vladimir I. Fal'ko , Dmitry A. Abanin , Alberto F. Morpurgo

We studied the unusual Quantum Hall Effect (QHE) near the charge neutrality point (CNP) in high-mobility graphene sample for magnetic fields up to 18 T. We observe breakdown of the delocalized QHE transport and strong increase in…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 L. Zhang , J. Camacho , H. Cao , Y. P. Chen , M. Khodas , D. Kharzeev , A. Tsvelik , T. Valla , I. A. Zaliznyak

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.…

Hall effect was studied on the single crystals of antiferromagnets PrB$_6$ and NdB$_6$ at temperatures 2K$<$T$<300$K in magnetic fields up to 8T using the sample rotation technique. At low magnetic fields $\mu_0$H$\leq1$T Hall coefficient…

We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

We have observed the quantum Hall effect (QHE) and Shubnikov-de Haas (SdH) oscillations in highly disordered graphene at magnetic fields up to 65 T. Disorder was introduced by hydrogenation of graphene up to a ratio H/C $\approx 0.1\%$. The…

We report on the magnetic field (0T$ \le B \le 9$T) dependence of the longitudinal thermal conductivity $\kappa(T,B)$ of highly oriented pyrolytic graphite in the temperature range 5 K $\le T\le$ 20 K for fields parallel to the $c-$axis. We…

Strongly Correlated Electrons · Physics 2009-11-10 R. Ocaña , P. Esquinazi , H. Kempa , J. H. S. Torres , Y. Kopelevich

We investigate the emerging consequences of an applied strong in-plane electric field on a macroscopically large graphene sheet subjected to a perpendicular magnetic field, by determining in exact analytical form various many-body…

General Physics · Physics 2018-02-07 Georgios Konstantinou , Konstantinos Moulopoulos

Quantum Hall effect (QHE) devices based on epitaxial graphene films grown on SiC were fabricated and studied for development of the QHE resistance standard. The graphene-metal contacting area in the Hall devices has been improved and…

Mesoscale and Nanoscale Physics · Physics 2014-12-09 S. Novikov , N. Lebedeva , K. Pierz , A. Satrapinski

The magnetic field-dependent longitudinal and Hall components of the resistivity rho_xx(H) and rho_xy(H) are measured in graphene on silicon dioxide substrates at temperatures from 1.6 K to room temperature. At charge densities near the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sungjae Cho , Michael S. Fuhrer

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…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 M. A. Hidalgo , R. Cangas

Single-layer and Bilayer of graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the integer and fractional quantum Hall regimes…

Strongly Correlated Electrons · Physics 2015-05-13 Naokazu Shibata , Kentaro Nomura

Spectral analysis of Shubnikov de Haas (SdH) oscillations of magnetoresistance and of Quantum Hall Effect (QHE) measured in quasi-2D highly oriented pyrolytic graphite (HOPG) [Phys. Rev. Lett. 90, 156402 (2003)] reveals two types of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor A. Luk'yanchuk , Yakov Kopelevich

At low temperatures, graphite presents a magnetoresistance anomaly which manifests as a transition to a high-resistance state (HRS) above a certain critical magnetic field $\text{B}_\text{c}$. Such HRS is currently attributed to a c-axis…

Strongly Correlated Electrons · Physics 2018-07-04 B. C. Camargo , W. Escoffier

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…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 C. P. Burgess , B. P. Dolan