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We report on the influence of a periodic potential on the fractional quantum Hall effect (FQHE) states in monolayer graphene. We have shown that for two values of the magnetic flux per unit cell (one-half and one-third flux quantum) an…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Areg Ghazaryan , Tapash Chakraborty , Pekka Pietilainen

In this letter we report the observation of ballistic transport on micron length scales in graphene synthesised by chemical vapour deposition (CVD). Transport measurements were done on Hall bar geometries in a liquid He cryostat. Using…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 V. E. Calado , Shou-En Zhu , S. Goswami , Q. Xu , K. Watanabe , T. Taniguchi , G. C. A. M. Janssen , L. M. K. Vandersypen

We develop a Fermionic Chern-Simons (CS) theory for the fractional quantum Hall effect in monolayer graphene with SU(4) symmetry, arising from the spin and the valley degrees of freedom, which involves four distinct CS gauge fields. We…

Strongly Correlated Electrons · Physics 2015-05-28 Sanhita Modak , Sudhansu S. Mandal , K. Sengupta

We present magnetoresistance measurements on large scale monolayer graphene grown by chemical vapor deposition (CVD) on copper. The graphene layer was transferred onto SiO2/Si via PMMA and thermal release tape for transport measurements.…

Disordered Systems and Neural Networks · Physics 2011-10-18 Eric Whiteway , Victor Yu , Josianne Lefebvre , Robert Gagnon , Michael Hilke

We present a 6D generalization of the fractional quantum Hall effect involving membranes coupled to a three-form potential in the presence of a large background four-form flux. The low energy physics is governed by a bulk 7D topological…

High Energy Physics - Theory · Physics 2018-06-13 Jonathan J. Heckman , Luigi Tizzano

Graphene and its van der Waals (vdW) heterostructures provide a unique and versatile playground for explorations of strongly correlated electronic phases, ranging from unconventional fractional quantum Hall (FQH) states in a monolayer…

Mesoscale and Nanoscale Physics · Physics 2023-03-17 A. Popert , Y. Shimazaki , M. Kroner , K. Watanabe , T. Taniguchi , A. Imamoğlu , T. Smoleński

We consider fractional quantum Hall states in systems where two flat Chern number $C=\pm 1$ bands are labeled by an approximately conserved 'valley' index and interchanged by time reversal symmetry. At filling factor $\nu=1$ this setting…

Strongly Correlated Electrons · Physics 2023-05-02 Yves H. Kwan , Yichen Hu , Steven H. Simon , S. A. Parameswaran

Trilayer graphene allows systematic control of its electronic structure through stacking sequence and twist geometry, providing a versatile platform for correlated states. Here we report magnetotransport in alternating twisted trilayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Dohun Kim , Gyeoul Lee , Nicolas Leconte , Seyoung Jin , Takashi Taniguchi , Kenji Watanabe , Jeil Jung , Gil Young Cho , Youngwook Kim

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…

We present a theory of composite fermion edge states and their transport properties in the fractional and integer quantum Hall regimes. We show that the effective electro-chemical potentials of composite fermions at the edges of a Hall bar…

Condensed Matter · Physics 2009-10-28 George Kirczenow , Brad L. Johnson

Most of the fractions observed to date belong to the sequences $\nu=n/(2pn\pm 1)$ and $\nu=1-n/(2pn\pm 1)$, $n$ and $p$ integers, understood as the familiar {\em integral} quantum Hall effect of composite fermions. These sequences fail to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. -C Chang , J. K. Jain

We report on the formation of critical states in disordered graphene, at the origin of variable and unconventional transport properties in the quantum Hall regime, such as a zero-energy Hall conductance plateau in the absence of an energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Nicolas Leconte , Frank Ortmann , Alessandro Cresti , Stephan Roche

We analyze the dissipative conductance of the zero-plateau quantum Hall state appearing in undoped graphene in strong magnetic fields. Charge transport in this state is assumed to be carried by a magnetic domain wall, which forms by…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 Efrat Shimshoni , H. A. Fertig , G. Venketeswara Pai

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

A promising approach to attain long-distance coherent spin propagation is accessing topological spin-polarized edge states in graphene. Achieving this without external magnetic fields necessitates engineering graphene band structure,…

Atomically resolved imaging and spectroscopic characteristics of graphene grown by chemical vapor deposition (CVD) on copper are investigated by means of scanning tunneling microscopy and spectroscopy (STM/STS). For CVD-grown graphene…

Strongly Correlated Electrons · Physics 2012-01-27 N. -C. Yeh , M. L. Teague , S. Yeom , B. L. Standley , D. A. Boyd , M. W. Bockrath

The fractional quantum Hall effect is a very particular manifestation of electronic correlations in two-dimensional systems in a strong perpendicular magnetic field. It arises as a consequence of a strong Coulomb repulsion between electrons…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Mark O. Goerbig

Recent experiments on suspended graphene layers have indicated the crucial role of carrier mobility in the competition between Laughlin collective state and insulating state, probably of Wigner-crystal-type. Moreover, the fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Janusz Jacak , Lucjan Jacak

A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted…

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

We have recently shown that dense quark matter possesses a color ferromagnetic phase in which a stable color magnetic field arises spontaneously. This ferromagnetic state has been known to be Savvidy vacuum in the vacuum sector. Although…

High Energy Physics - Phenomenology · Physics 2009-11-10 Aiichi Iwazaki , Osamu Morimatsu , Munehisa Ohtani , Tetsuo Nishikawa
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