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We have observed in a low density two-dimensional hole system (2DHS) of extremely high quality (with hole density p=1.6x10^{10} cm^{-2} and mobility \mu=0.8x10^6 cm^2/Vs) that, as the 2DHS is continuously tilted with respect to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. Pan , G. A. Csathy , D. C. Tsui , L. N. Pfeiffer , K. W. West

In the composite fermion model of the fractional quantum Hall effect, composite fermions experience, in addition to the usual potential disorder, also a magnetic flux disorder. Motivated by this, we investigate the localization properties…

Condensed Matter · Physics 2015-06-25 X. C. Xie , D. Z. Liu , J. K. Jain

We use Pseudo Quantum Electrodynamics to study massive (2+1)D Dirac systems interacting electromagnetically via a U(1) gauge field in (3+1)D. It was recently found in Ref. [1], that an interaction-induced Quantum Hall Effect (QHE) and…

Strongly Correlated Electrons · Physics 2017-02-10 S. H. Kooi , N. Menezes , Van Sérgio Alves , C. Morais Smith

It is demonstrated that all observed fractions at moderate Landau level fillings for the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility to have the special…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 S. V. Iordanski , D. S. Lubshin

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

Magneto-transport measurements in a clean two-dimensional electron system confined to a wide GaAs quantum well reveal that, when the electrons occupy two electric subbands, the sequences of fractional quantum Hall states observed at high…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. Shabani , Y. Liu , M. Shayegan

The mean field (MF) composite Fermion (CF) picture successfully predicts low lying states of fractional quantum Hall systems. This success cannot be attributed to a cancellation between Coulomb and Chern-Simons interactions beyond the mean…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Arkadiusz Wojs , John J. Quinn

We provide details of a shorter letter and cond-mat/9702098 and some new results. We describe a Chern-Simons theory for the fractional quantum Hall states in which magnetoplasmon degrees of freedom enter. We derive correlated wavefunctions,…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Ganpathy Murthy , R. Shankar

Recent proposals of topological flat band (TFB) models have provided a new route to realize the fractional quantum Hall effect (FQHE) without Landau levels. We study hard-core bosons with short-range interactions in two representative TFB…

Strongly Correlated Electrons · Physics 2011-10-03 Yi-Fei Wang , Zheng-Cheng Gu , Chang-De Gong , D. N. Sheng

Microscopically, collisionless reconnection in thin current sheets is argued to involve `composite electrons' in the ion inertial (Hall current) domain, a tiny fraction of electrons only. These `composite electrons' are confined to lower…

Space Physics · Physics 2011-05-13 R. A. Treumann , R. Nakamura , W. Baumjohann

We consider both disorder and interaction effects on the magnetoresistance and Hall constant of composite fermions in the vicinity of half filled Landau level. By contrast to the standard case of Coulomb interacting two-dimensional electron…

Condensed Matter · Physics 2009-10-28 D. V. Khveshchenko

We investigate the spectrum of interacting electrons at arbitrary filling factors in the limit of vanishing Zeeman splitting. The composite fermion theory successfully explains the low-energy spectrum {\em provided the composite fermions…

Condensed Matter · Physics 2009-10-22 X. G. Wu , J. K. Jain

We study the magneto-conductance of a $1.4~\mathrm{\mu m}$-wide quantum dot in the fractional quantum Hall regime. For a filling factor $\approx 2/3$ and $\gtrsim 1/3$ in the quantum dot the observed Coulomb resonances show a periodic…

The fractional quantum Hall effect (FQHE) in two-dimensional electron system (2DES) is an exotic, superfluid-like matter with an emergent topological order. From the consideration of Aharonov-Bohm interaction of electrons and magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-11-02 W. Pan , W. Kang , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

The magneto resistance of a narrow single quantum well is spectacularly different from the usual behavior. At filling factors 2/3 and 3/5 we observe large and sharp maxima in the longitudinal resistance instead of the expected minima. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Kronmueller , W. Dietsche , J. Weis , K. v. Klitzing , W. Wegscheider , M. Bichler

The mean field composite Fermion (MFCF) picture has been qualitatively successful when applied to electrons (or holes) in the lowest Landau level. Because the energy scales associated with Coulomb interactions and with Chern-Simons gauge…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , John J. Quinn

The two-dimensional electron system in an InAs quantum well has emerged as a prime candidate for hosting exotic quasi-particles with non-Abelian statistics such as Majorana fermions and parafermions. To attain its full promise, however, the…

We study the Coulomb drag between two spatially separated electron systems in a strong magnetic field, one of which exhibits the quantum Hall effect. At a fixed temperature, the drag mimics the behavior of $\sigma_{xx}$ in the quantum Hall…

Condensed Matter · Physics 2009-10-22 Efrat Shimshoni , S. L. Sondhi

We formulate the Kohn-Sham equations for the fractional quantum Hall effect by mapping the original electron problem into an auxiliary problem of composite fermions that experience a density dependent effective magnetic field.…

Strongly Correlated Electrons · Physics 2019-10-30 Yayun Hu , J. K. Jain

We report magnetotransport measurements on a single-layer graphene in pulsed magnetic fields up to $B$ = 53 T. With either electron- or hole-type charge carriers, the Hall resistance $R_{H}$ is quantized into $R_{H}$ = $(h/e^2)\nu ^{-1}$…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Satoru Masubuchi , Ken-ichi Suga , Masashi Ono , Koichi Kindo , Shojiro Takeyama , Tomoki Machida