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Competition between liquid and solid states in two-dimensional electron system is an intriguing problem in condensed matter physics. We have investigated competing Wigner crystal and fractional quantum Hall ( FQH ) liquid phases in…

Mesoscale and Nanoscale Physics · Physics 2018-08-27 Manohar Kumar , Antti Laitinen , Pertti J. Hakonen

We investigate non-equilibrium transport in the reentrant integer quantum Hall phases of the second Landau level. At high currents, we observe a transition from the reentrant integer quantum Hall phases to classical Hall-conduction.…

Mesoscale and Nanoscale Physics · Physics 2015-06-30 S. Baer , C. Rössler , S. Hennel , H. C. Overweg , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

Measurements in very low disorder two-dimensional electrons confined to relatively wide GaAs quantum well samples with tunable density reveal reentrant $\nu=1$ integer quantum Hall states in the lowest Landau level near filling factors…

Mesoscale and Nanoscale Physics · Physics 2012-07-20 Yang Liu , C. G. Pappas , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

In spite of its ubiquity in strongly correlated systems, the competition of paired and nematic ground states remains poorly understood. Recently such a competition was reported in the two-dimensional electron gas at filling factor…

Strongly Correlated Electrons · Physics 2018-07-18 K. A. Schreiber , N. Samkharadze , G. C. Gardner , Y. Lyanda-Geller , M. J. Manfra , L. N. Pfeiffer , K. W. West , G. A. Csáthy

The nu=5/2 fractional quantum Hall state is studied numerically, directly including the effects of electron scattering between neighboring Landau levels. Significant reduction of the excitation gap caused by the LL mixing explains the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arkadiusz Wojs , John J. Quinn

The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 A. A. Vasilchenko

The $\nu=5/2$ fractional quantum Hall effect is a system of intense experimental and theoretical interest as its ground state may host non-abelian excitations, but the exact nature of the ground state is still undetermined. We present the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Anthony Tylan-Tyler , Yuli Lyanda-Geller

We present a numerical study of fractional quantum Hall liquid at Landau level filling factor $\nu=2/3$ in a microscopic model including long-range Coulomb interaction and edge confining potential, based on the disc geometry. We find the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Zi-Xiang Hu , Hua Chen , Kun Yang , E. H. Rezayi , Xin Wan

Half-filled Landau levels host an emergent Fermi-liquid which displays an instability towards pairing, culminating in a gapped even-denominator fractional quantum Hall ground state. While this pairing may be probed by tuning the…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 J. Falson , D. Tabrea , D. Zhang , I. Sodemann , Y. Kozuka , A. Tsukazaki , M. Kawasaki , K. von Klitzing , J. H. Smet

Under hydrostatic pressure, the ground state of a two-dimensional electron gas at $\nu=5/2$ changes from a fractional quantum Hall state to the stripe phase. By measuring the energy gap of the fractional quantum Hall state and of the onset…

Strongly Correlated Electrons · Physics 2017-08-02 K. A. Schreiber , N. Samkharadze , G. C. Gardner , Rudro R. Biswas , M. J. Manfra , G. A. Csáthy

We report drastically different onset temperatures of the reentrant integer quantum Hall states in the second and third Landau level. This finding is in quantitative disagreement with the Hartree-Fock theory of the bubble phases which is…

Strongly Correlated Electrons · Physics 2015-06-11 N. Deng , J. D. Watson , L. P. Rokhinson , M. J. Manfra , G. A. Csáthy

At low Landau level filling of a two-dimensional electron system, typically associated with the formation of an electron crystal, we observe local minima in Rxx at filling factors nu=2/11, 3/17, 3/19, 2/13, 1/7, 2/15, 2/17, and 1/9. Each of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. Pan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

Collective modes of exotic quantum fluids reveal underlying physical mechanisms responsible for emergent complex quantum ground states. We observe unexpected new collective modes in the fractional quantum Hall (FQH) regime:…

Mesoscale and Nanoscale Physics · Physics 2019-11-05 Lingjie Du , Ursula Wurstbauer , Ken W. West , Loren N. Pfeiffer , Saeed Fallahi , Geoff C. Gardner , Michael J. Manfra , Aron Pinczuk

Reports of weak local minima in the magnetoresistance at $\nu=2+3/5$, $2+3/7$, $2+4/9$, $2+5/9$, $2+5/7$, and $2+5/8$ in the second Landau level of the electron gas in GaAs/AlGaAs left open the possibility of fractional quantum Hall states…

Strongly Correlated Electrons · Physics 2018-06-27 V. Shingla , E. Kleinbaum , A. Kumar , L. N. Pfeiffer , K. W. West , G. A. Csathy

We present a quantitative study of most prominent incompressible quantum Hall states in the partially filled first excited Landau level (LL1) which have been recently studied experimentally by Choi et al. The pseudopotential describing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 George E. Simion , John J. Quinn

We investigate fractional quantum Hall states for model interactions restricted to a repulsive hard-core. When the hard-core excludes relative angular momentum $m=1$ between spinless electrons the ground state at Landau level filling factor…

Strongly Correlated Electrons · Physics 2021-01-04 Grégoire Misguich , Thierry Jolicoeur , Takahiro Mizusaki

We study the plateaux of the integer quantum Hall resistance in a bilayer electron system in tilted magnetic fields. In a narrow range of tilt angles and at certain magnetic fields, the plateau level deviates appreciably from the quantized…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. V. Deviatov , A. A. Shashkin , V. T. Dolgopolov , H. -J. Kutschera , A. Wixforth , K. L. Campman , A. C. Gossard

In Landau levels N > 1, the ground state of the two-dimensional electron gas (2DEG) in a perpendicular magnetic field evolves from a Wigner crystal for small filling of the partially filled Landau level, into a succession of bubble states…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 R. Cote , C. Doiron , J. Bourassa , H. A. Fertig

We present results of extensive numerical calculations on the ground state of electrons in the first excited (n=1) Landau level with Coulomb interactions, and including non-zero thickness effects, for filling factors 12/5 and 13/5 in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 E. H. Rezayi , N. Read

When a gas of electrons is confined to two dimensions, application of a strong magnetic field may lead to startling phenomena such as emergence of electron pairing. According to a theory this manifests itself as appearance of the fractional…

Mesoscale and Nanoscale Physics · Physics 2008-11-21 H. Saarikoski , E. Tolo , A. Harju , E. Rasanen