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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

There has been a surge of recent interest in the role of anisotropy in interaction-induced phenomena in two-dimensional (2D) charged carrier systems. A fundamental question is how an anisotropy in the energy-band structure of the carriers…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Insun Jo , K. A. Villegas Rosales , M. A. Mueed , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , Medini Padmanabhan , M. Shayegan

We study the effect of band anisotropy with discrete rotational symmetry $C_N$ (where $N\ge 2$) in the quantum Hall regime of two-dimensional electron systems. We focus on the composite Fermi liquid (CFL) at half filling of the lowest…

Strongly Correlated Electrons · Physics 2017-10-04 Matteo Ippoliti , Scott D. Geraedts , R. N. Bhatt

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

The composite fermion formalism elegantly describes some of the most fascinating behaviours of interacting two-dimensional carriers at low temperatures and in strong perpendicular magnetic fields. In this framework, carriers minimize their…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 D. Kamburov , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

In high-quality two-dimensional electrons confined to GaAs quantum wells, near Landau level filling factors $\nu=$ 1/2 and 1/4, we observe signatures of the commensurability of the electron-flux composite fermion cyclotron orbits with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 D. Kamburov , M. A. Mueed , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , J. J. D. Lee , R. Winkler

The microscopic wave functions of the composite fermion theory can incorporate electron mass anisotropy by a trivial rescaling of the coordinates. These wave functions are very likely adiabatically connected to the actual wave functions of…

Strongly Correlated Electrons · Physics 2016-02-11 Ajit C. Balram , J. K. Jain

We report magneto-transport measurements for the fractional quantum Hall state at filling factor $\nu=$ 5/2 as a function of applied parallel magnetic field ($B_{||}$). As $B_{||}$ is increased, the 5/2 state becomes increasingly…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Yang Liu , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The even-denominator fractional quantum Hall states (FQHSs) in half-filled Landau levels are generally believed to host non-Abelian quasiparticles and be of potential use in topological quantum computing. Of particular interest is the…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 Chengyu Wang , A. Gupta , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

A transport study of two-dimensional (2D) holes confined to wide GaAs quantum wells provides a glimpse of a subtle competition between different many-body phases at Landau level filling $\nu=3/2$ in tilted magnetic fields. At large tilt…

Mesoscale and Nanoscale Physics · Physics 2016-11-08 Yang Liu , M. A. Mueed , Md. Shafayat Hossain , S. Hasdermir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We investigate the effect of the filling factor on transport anisotropies, known as stripes, in high Landau levels of a two-dimensional electron gas. We find that at certain in-plane magnetic fields, the stripes orientation is sensitive to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 Q. Shi , M. A. Zudov , J. D. Watson , G. C. Gardner , M. J. Manfra

We demonstrate tuning of the Fermi contour anisotropy of two-dimensional (2D) holes in a symmetric GaAs (001) quantum well via the application of in-plane strain. The ballistic transport of high-mobility hole carriers allows us to measure…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Insun Jo , M. A. Mueed , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , Medini Padmanabhan , M. Shayegan

We have analyzed the effects of the anisotropic energy bands of phosphorene on magnetoroton branches for electrons and holes in the two Landau levels close to the band edges. We have found that the fractional quantum Hall effect gap in the…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Areg Ghazaryan , Tapash Chakraborty

Using a 50-nm width, ultra-clean GaAs/AlGaAs quantum well, we have studied the Landau level filling factor $\nu = 5/2$ fractional quantum Hall effect in a perpendicular magnetic field $B \sim$ 1.7 T and determined its dependence on tilted…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Guangtong Liu , Chi Zhang , D. C. Tsui , Ivan Knez , Aaron Levine , R. R. Du , L. N. Pfeiffer , K. W. West

We present in this Letter the results from two high quality, low density GaAs quantum wells. In sample A of electron density n=5.0x10^10 cm^-2, anisotropic electronic transport behavior was observed at \nu=7/2 in the second Landau level. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 W. Pan , A. Serafin , J. S. Xia , L. Yin , N. S. Sullivan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

A modest in-plane magnetic field \Bpar\ is sufficient to destroy the fractional quantized Hall states at $\nu = 5/2$ and 7/2 and replace them with anisotropic compressible phases. Remarkably, we find that at larger \Bpar\ these anisotropic…

Strongly Correlated Electrons · Physics 2010-10-26 Jing Xia , Vaclav Cvicek , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We use the Hamiltonian theory developed by Shankar and Murthy to study a quantum Hall system in a tilted magnetic field. With a finite width of the system in the $z$ direction, the parallel component of the magnetic field introduces…

Strongly Correlated Electrons · Physics 2018-12-05 Kang Yang , Mark Oliver Goerbig , Benoît Douçot

The reduction of the energy gap due to Landau level mixing, characterized by the dimensionless parameter $\lambda = (e^2/\epsilon l_0)/\hbar\omega_c$, has been calculated by variational Monte Carlo for the fractional quantum Hall effect at…

Condensed Matter · Physics 2009-10-28 V. Melik-Alaverdian , N. E. Bonesteel

Transport experiments in high mobility (110) GaAs heterostructures have been performed at very low temperatures 8 mK. At higher Landau-Levels we observe a transport anisotropy that bears some similarity with what is already seen at…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Frank Fischer , Matthew Grayson , Erwin Schuberth , Dieter Schuh , Max Bichler , Gerhard Abstreiter

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
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