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We consider the conductivity tensor for composite fermions in a close to half-filled Landau band in the temperature regime where the scattering off the potential and the trapped gauge field of random impurities dominates. The Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. D. Mirlin , P. Woelfle

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 study transport in a smooth random magnetic field, with emphasis on composite fermions (CF) near half-filling of the Landau level. When either the amplitude of the magnetic field fluctuations or its mean value $\bar B$ is large enough,…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. D. Mirlin , D. G. Polyakov , P. Woelfle

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 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

We have studied the magnetotransport near Landau level filling factor $\nu = 1/2$ in a GaAs-Al0.3Ga0.7As square quantum well (width 35 nm) in magnetic field up to 42 T and in a temperature range between 50 mK and 1.5 K. In low temperatures…

Mesoscale and Nanoscale Physics · Physics 2008-09-01 Jian Zhang , R. R. Du , J. A. Simmons , J. L. Reno

The $\nu=2/5$ state is spin-unpolarized at weak magnetic field and fully polarized at strong field. At intermediate field, a plateau of half the maximal polarization is observed. We study this phenomenon in the frame of composite fermion…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shi-Jie Yang , Yue Yu , Bang-Fen Zhu

Adopting the mean-field composite fermion picture, we describe the magneto-transport properties of a two-dimensional electron gas with laterally modulated density around filling factor 1/2. The occurrence of a strong positive…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. D. M. Zwerschke , R. R. Gerhardts

When interacting two-dimensional electrons are placed in a large perpendicular magnetic field, to minimize their energy, they capture an even number of flux quanta and create new particles called composite fermions (CFs). These complex…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 T. Gokmen , Medini Padmanabhan , M. Shayegan

We develop a phenomenological description of the nu=5/2 quantum Hall state in which the Halperin-Lee-Read theory of the half-filled Landau level is combined with a p-wave pairing interaction between composite fermions (CFs). The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Kerwin C. Foster , N. E. Bonesteel , Steven H. Simon

We report the observation of commensurability oscillations of hole-flux composite fermions near filling factor $\nu=1/2$ in a high-mobility two-dimensional hole system confined to a GaAs quantum well, and subjected to a weak,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 D. Kamburov , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The model of Composite Fermions for describing interacting electrons in two dimensions in the presence of a magnetic field is described. In this model, charged Fermions are combined with an even number of magnetic flux quanta in such a way…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Kramer , N. Magnoli , E. Mariani , M. Merlo , F. Napoli , M. Sassetti

Motivated by a recent experiment of Willett et al. [Phys. Rev. Lett. 78, 4478 (1997)], we employ semiclassical composite-fermion theory to study the effect of a periodic density modulation on a quantum Hall system near Landau level filling…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Felix von Oppen , Ady Stern , Bertrand I. Halperin

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

We construct a new representation of composite fermion wave functions in the lowest Landau level which enables Monte Carlo computations at arbitrary filling factors for a fairly large number of composite fermions, thus clearing the way…

Condensed Matter · Physics 2008-02-03 J. K. Jain , R. K. Kamilla

We report magnetotransport measurements of fractional quantum Hall states in an AlAs quantum well around Landau level filling factor nu = 3/2, demonstrating that the quasiparticles are composite Fermions (CFs) with a valley degree of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. C. Bishop , M. Padmanabhan , K. Vakili , Y. P. Shkolnikov , E. P. De Poortere , M. Shayegan

We show that at electronic filling factor $\nu=1/2$, the lowest Landau level constraint implies that at any temperature, and in the presence of {\it any} amount of particle-hole symmetric disorder, the {\it composite fermion} Hall…

Condensed Matter · Physics 2008-02-03 D-H Lee , Yu. A. Krotov , J. Gan , S. A. Kivelson

Mechanism of the particle-flux separation in the Chern-Simons gauge theory coupled with nonrelativistic fermions is studied in a nonperturbative method. This problem is very important for the composite fermion approach to the fractional…

Condensed Matter · Physics 2009-10-28 I. Ichinose , T. Matsui

We elaborate on a single-mode description of the ballistic charge transport through a narrow constriction in a compressible (composite fermion) Quantum Hall liquid. In the presence of long-range Coulomb interactions we find logarithmic…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko

We study the role of anisotropy on the transport properties of composite fermions near Landau level filling factor $\nu=1/2$ in two-dimensional holes confined to a GaAs quantum well. By applying a parallel magnetic field, we tune the…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 M. A. Mueed , D. Kamburov , S. Hasdemir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan
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