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At a very low temperature of 9mK, electrons in the 2nd Landau level of an extremely high mobility two-dimensional electron system exhibit a very complex electronic behavior. With varying filling factor, quantum liquids of different origins…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. S. Xia , W. Pan , C. L. Vincente , E. D. Adams , N. S. Sullivan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

In the extreme quantum limit, when the Landau level filling factor $\nu<1$, the dominant electron-electron interaction in low-disorder two-dimensional electron systems leads to exotic many-body phases. The ground states at even-denominator…

Mesoscale and Nanoscale Physics · Physics 2025-02-26 Chengyu Wang , P. T. Madathil , S. K. Singh , A. Gupta , Y. J. Chung , L. N. Pfeiffer , K. W. Baldwin , M. Shayegan

Theoretical results for the gaps of fractional quantum Hall states are substantially larger than experimental values determined from the activated behaviour of charge transport. The disparity in the case of the enigmatic nu = 5/2 state is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. H. Morf , N. d'Ambrumenil

Magnetic fields quench the kinetic energy of two dimensional electrons, confining them to highly degenerate Landau levels. In the absence of disorder, the ground state at partial Landau level filling is determined only by Coulomb…

Strongly Correlated Electrons · Physics 2018-07-04 A. A. Zibrov , E. M. Spanton , H. Zhou , C. Kometter , T. Taniguchi , K. Watanabe , A. F. Young

We have studied the $\nu=5/2$ fractional quantum Hall state in a density-tunable sample at extremely low electron densities. For the densities accessed in our experiment, the Landau level mixing parameter $\kappa$ spans the…

Mesoscale and Nanoscale Physics · Physics 2017-08-08 N. Samkharadze , Dohyung Ro , L. N. Pfeiffer , K. W. West , G. A. Csáthy

We report on our accurate evaluation of spin polarizations of the ground state and particle-hole gaps for partially-filled lowest Landau level, observed in recent experiments on graphene subjected to ultra-high magnetic fields. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tapash Chakraborty , Pekka Pietilainen

We consider the signatures of the Integer Quantum Hall Effect in a degenerate gas of electrically neutral atomic fermions. An effective magnetic field is achieved by applying two incident light beams with a high orbital angular momentum. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 P. Ohberg , G. Juzeliunas , J. Ruseckas , M. Fleischhauer

We consider Coulomb drag between two layers of two-dimensional electron gases subject to a strong magnetic field, with the Landau level filling factor in each layer being 1/2. We find $\rho_D$ to be very large, as compared to the zero…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ady Stern , Iddo Ussishkin

Fractional quantum Hall states (FQHSs) at even-denominator Landau level filling factors ($\nu$) are of prime interest as they are predicted to host exotic, topological states of matter. We report here the observation of a FQHS at $\nu=1/2$…

Mesoscale and Nanoscale Physics · Physics 2023-03-21 Md. Shafayat Hossain , M. K. Ma , Y. J. Chung , S. K. Singh , A. Gupta , K. W. West , K. W. Baldwin , L. N. Pfeiffer , R. Winkler , M. Shayegan

We discuss the possibility of the quantum Hall effect at half-filled Landau level in terms of the pairing of the composite fermions. In the absence of Coulomb energy, we show that the ground state of the system is described by the {\it…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari

We develop a theory of the half-filled Landau level which shows that it is a two-component fluid. One of the components has spin up and the other spin down so that the electron-spin resonance can occur. The 1/3 filled level is fully spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

Emergence of half-integer filling factor states, such as nu=5/2 and 7/2, is found in quantum dots by using numerical many-electron methods. These states have interesting similarities and differences with their counterstates found in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Harju , H. Saarikoski , E. Rasanen

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

We report magneto-transport measurements in wide GaAs quantum wells with tunable density to probe the stability of the fractional quantum Hall effect at filling factor $\nu = $ 5/2 in the vicinity of the crossing between Landau levels (LLs)…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 Yang Liu , D. Kamburov , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We propose an exact model of anyon ground states including higher Landau levels, and use it to obtain fractionally quantized Hall states at filling fractions $\nu=p/(p(m-1)+1)$ with $m$ odd, from integer Hall states at $\nu=p$ through…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Martin Greiter , Frank Wilczek

Properly regularized second-order degenerate perturbation theory is applied to compute the contribution of higher Landau levels to the low-energy spectrum of interacting electrons in a disk-shaped quantum dot. At ``filling factor'' near…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Augusto Gonzalez , Juan David Serna , Roberto Capote , Guillermo Avendaño

Detailed measurements of the longitudinal thermopower of two-dimensional electrons in the first excited Landau level are reported. Clear signatures of numerous fractional quantized Hall states, including those at $\nu = 5/2$ and 7/3, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 W. E. Chickering , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

A recent theory of a compressible Fermi-liquid like state at Landau level filling factors $\nu=1/q$ or $1-1/q$, $q$ even, is reviewed, with emphasis on the basic physical concepts.

Condensed Matter · Physics 2016-08-31 N. Read

We study the effects of disorder on the quantum Hall stripe phases in half-filled high Landau levels using exact numerical diagonalization. We show that, in the presence of weak disorder, a compressible, striped charge density wave, becomes…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. N. Sheng , Ziqiang Wang , B. Friedman

The structure of fractional fillings of higher Landau levels including spin subbands is systematically derived for the first time. Using topology-type commensurability arguments for 2D charged system in the presence of strong quantizing…

General Physics · Physics 2014-08-21 Janusz Jacak , Lucjan Jacak