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A yet unexplored area in graphene electronics is the field of quantum ballistic transport through graphene nanostructures. Recent developments in the preparation of high mobility graphene are expected to lead to the experimental…

The Hall effect, and the diagonal resistance, which indicates a residual resistivity $\rho_{xx} \approx h/4e^{2}$, are experimentally examined over the p$\leftrightarrow$n transition about the nominal neutrality point in chemical vapor…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Ramesh G. Mani

We have observed the energy structure in the density of occupied states of graphene grown on n-type 6H-SiC (0001). The structure revealed with photoelectron spectroscopy is described by creation of the quantum well states whose number and…

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

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

The residual interaction between composite fermions (CFs) can express itself through higher order fractional Hall effect. With the help of diagonalization in a truncated composite fermion basis of low-energy many-body states, we predict…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Chia-Chen Chang , Sudhansu S. Mandal , Jainendra K. Jain

The observation of extensive fractional quantum Hall states in graphene brings out the possibility of more accurate quantitative comparisons between theory and experiment than previously possible, because of the negligibility of finite…

Strongly Correlated Electrons · Physics 2016-05-25 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain

Tunable exciton condensates in two dimensional electron gas systems under strong magnetic field exhibits anomalous Hall transport owing to mutual Coulomb coupling, and have attracted a lot of research activity. Here, we explore another…

Strongly Correlated Electrons · Physics 2020-05-28 Tian-Sheng Zeng , D. N. Sheng , W. Zhu

We report low temperature electronic transport results on the fractional quantum Hall effect of composite fermions at Landau level filling nu = 4/11 in a very high mobility and low density sample. Measurements were carried out at…

Mesoscale and Nanoscale Physics · Physics 2015-01-14 W. Pan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

We show that quantum resistance standards made of transferred graphene reach the uncertainty of semiconductor devices, the current reference system in metrology. A large graphene device (150 \times 30 \mum2), exfoliated and transferred onto…

Mesoscale and Nanoscale Physics · Physics 2012-04-24 Mirosław Woszczyna , Miriam Friedemann , Martin Götz , Eckart Pesel , Klaus Pierz , Thomas Weimann , Franz J. Ahlers

The Hall-resistance curve of a two-dimensional electron system in the presence of a strong perpendicular magnetic field is an example of self-similarity. It reveals plateaus at low temperatures and has a fractal structure. We show that this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

In the quantum Hall regime of graphene, antiferromagnetic and spin-polarized ferromagnetic states at the zeroth Landau level compete, leading to a canted antiferromagnetic state depending on the direction and magnitude of an applied…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Y. Li , M. Amado , T. Hyart , G. P. Mazur , V. Risinggård , T. Wagner , L. McKenzie Sell , G. Kimbell , J. Wunderlich , J. Linder , J. W. A. Robinson

We investigate the quantum Hall (QH) states near the charge neutral Dirac point of a high mobility graphene sample in high magnetic fields. We find that the QH states at filling factors $\nu=\pm1$ depend only on the perpendicular component…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Z. Jiang , Y. Zhang , H. L. Stormer , P. Kim

Incompressible even denominator fractional quantum Hall states at fillings $\nu = \pm \frac{1}{2}$ and $\nu = \pm \frac{1}{4}$ have been recently observed in monolayer graphene. We use a Chern-Simons description of multi-component…

Strongly Correlated Electrons · Physics 2018-12-13 Sujit Narayanan , Bitan Roy , Malcolm P. Kennett

We report high room-temperature mobility in single layer graphene grown by Chemical Vapor Deposition (CVD) after wet transfer on SiO$_2$ and hexagonal boron nitride (hBN) encapsulation. By removing contaminations trapped at the interfaces…

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.…

The recent discovery of fractional quantum Hall states in graphene raises the question of whether the physics of graphene and its bilayer offers any advantages over GaAs-based materials in exploring strongly-correlated states of…

Mesoscale and Nanoscale Physics · Physics 2011-10-26 Z. Papic , R. Thomale , D. A. Abanin

We review the theoretical basis and understanding of electronic interactions in graphene Landau levels, in the limit of strong correlations. This limit occurs when inter-Landau-level excitations may be omitted because they belong to a…

Mesoscale and Nanoscale Physics · Physics 2012-02-03 M. O. Goerbig , N. Regnault

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

A quantum statistical theory is developed for a fractional quantum Hall effects in terms of composite bosons (fermions) each of which contains a conduction electron and an odd (even) number of fluxons. The cause of the QHE is by assumption…

Mesoscale and Nanoscale Physics · Physics 2013-04-30 Shigeji Fujita , Akira Suzuki , H. C. Ho