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Replacing GaAs by graphene to realize more practical quantum Hall resistance standards (QHRS), accurate to within $10^{-9}$ in relative value, but operating at lower magnetic fields than 10 T, is an ongoing goal in metrology. To date, the…

Mesoscale and Nanoscale Physics · Physics 2015-04-21 F. Lafont , R. Ribeiro-Palau , D. Kazazis , A. Michon , O. Couturaud , C. Consejo , T. Chassagne , M. Zielinski , M. Portail , B. Jouault , F. Schopfer , W. Poirier

The Hall resistance of a homogeneous electron system is well known to be anti-symmetric with respect to the magnetic field and the sign of charge carriers. We have observed that such symmetries no longer hold in planar hybrid structures…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Jifa Tian , Yongjin Jiang , Isaac Childres , Helin Cao , Jiangping Hu , Yong P. Chen

Graphene is a model system for the study of electrons confined to a strictly two-dimensional layer1 and a large number of electronic phenomena have been demonstrated in graphene, from the fractional2, 3 quantum Hall effect to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jian-Hao Chen , W. G. Cullen , E. D. Williams , M. S. Fuhrer

The fractional quantum Hall effect (FQHE) of topological surface-state particles under a tilted strong magnetic field is theoretically studied by using the exact diagonalization method. The Haldane's pseudopotentials for the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Fawei Zheng , Zhigang Wang , Zhen-Guo Fu , Ping Zhang

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

Temperature- and field-dependent Hall effect measurements are reported for YbAgGe, a heavy fermion compound exhibiting a field-induced quantum phase transition, and for two other closely related members of the RAgGe series: a non-magnetic…

Strongly Correlated Electrons · Physics 2009-11-10 S. L. Bud'ko , E. Morosan , P. C. Canfield

Solid-state magnetic field sensors are important to both modern electronics and fundamental materials science. Many types of these sensors maintain high sensitivity only in a limited range of temperature and background magnetic field, but…

Mesoscale and Nanoscale Physics · Physics 2020-08-21 Brian T. Schaefer , Lei Wang , Alexander Jarjour , Kenji Watanabe , Takashi Taniguchi , Paul L. McEuen , Katja C. Nowack

We analyze the quantum Hall effect in single layer graphene with bilayer stripe defects. Such defects are often encountered at steps in the substrate of graphene grown on silicon carbide. We show that AB or AA stacked bilayer stripes result…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Tomas Lofwander , Pablo San-Jose , Elsa Prada

We quantum mechanically analyze the fractional quantum Hall effect in graphene. This will be done by building the corresponding states in terms of a potential governing the interactions and discussing other issues. More precisely, we…

High Energy Physics - Theory · Physics 2011-04-28 Ahmed Jellal , Bellati Malika

We report the observation of an even-denominator fractional quantum Hall (FQH) state at $\nu=1/4$ in a high quality, wide GaAs quantum well. The sample has a quantum well width of 50 nm and an electron density of $n_e=2.55\times10^{11}$…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. R. Luhman , W. Pan , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

We present a different approach to the fractional quantum Hall effect (FQHE), focusing it as a consequence of the change in the symmetry of the Hamiltonian of every electron in a two-dimensional electron gas (2DEG) under the application of…

Mesoscale and Nanoscale Physics · Physics 2013-11-20 M. A. Hidalgo

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…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

The fractional quantum Hall effect in 2D electron gases submitted to large magnetic fields remains one of the most striking phenomena in condensed matter physics. Historically, the first observed signature is a Hall resistance quantized to…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Nicolas Rougerie

Magnetotransport measurements performed on several well-characterized highly oriented pyrolitic graphite and single crystalline Kish graphite samples reveal a reentrant metallic behavior in the basal-plane resistance at high magnetic…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Kopelevich , J. H. S. Torres , R. R. da Silva , F. Mrowka , H. Kempa , P. Esquinazi

We show the emergence of fractional quantum Hall states in dry-transferred chemical vapor deposition (CVD) derived graphene assembled into heterostructures for magnetic fields from below 3 T to 35 T. Effective composite-fermion filling…

Mesoscale and Nanoscale Physics · Physics 2020-09-14 M. Schmitz , T. Ouaj , Z. Winter , K. Rubi , K. Watanabe , T. Taniguchi , U. Zeitler , B. Beschoten , C. Stampfer

This paper reports on an experimental study of the contact resistance of Hall bars in the Quantum Hall Effect regime while increasing the current through the sample. These measurements involve also the longitudinal resistance and they have…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. M. Meziani , C. Chaubet , S. Bonifacie , B. Jouault , A. Raymond , W. Poirier , F. Piquemal

We report on the observation of quantum transport and interference in a graphene device that is attached with a pair of split gates to form an electrostatically-defined quantum point contact (QPC). In the low magnetic field regime, the…

Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional…

Mesoscale and Nanoscale Physics · Physics 2009-06-08 Z. Papić , M. O. Goerbig , N. Regnault

The longitudinal resistivity rho_{xx} and Hall coefficient R_H were measured for MgB2 sintered under high pressure. We found that R_H is positive like cuprate high-Tc superconductors, and decreases as the temperature increases for 40 K < T…

Several recent works have proposed that electron-electron interactions in bilayer graphene can be tuned with the help of external parameters, making it possible to stabilize different fractional quantum Hall states. In these prior works,…

Strongly Correlated Electrons · Physics 2012-05-31 Kyrylo Snizhko , Vadim Cheianov , Steven H. Simon