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We measure the chemical potential jump across the fractional gap in the low-temperature limit in the two-dimensional electron system of GaAs/AlGaAs single heterojunctions. In the fully spin-polarized regime, the gap for filling factor…

Strongly Correlated Electrons · Physics 2007-09-03 V. S. Khrapai , A. A. Shashkin , M. G. Trokina , V. T. Dolgopolov , V. Pellegrini , F. Beltram , G. Biasiol , L. Sorba

The angular momentum model which couples the spin and charge is discussed as a possible theory of the quantum Hall effect. The high Landau level filling fractions 5/2, 7/3 and 8/3 are understood by this model. It is found that 7/3 and 8/3…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Keshav N. Shrivastava

Tunneling spectroscopy reveals evidence for interlayer electron-hole correlations in quantum Hall bilayer two-dimensional electron systems at layer separations near, but above, the transition to the incompressible exciton condensate at…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 J. P. Eisenstein , L. N. Pfeiffer , 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

Wigner crystals are extremely fragile, which is shown to result from very strong geometric frustration germane to long-range Coulomb interactions. Physically, this is manifested by a very small characteristic energy scale for shear density…

Strongly Correlated Electrons · Physics 2025-12-10 Mohammed Hammam , Cyprian Lewandowski , Vladimir Dobrosavljevic , Sandeep Joy

Magnetotransport measurements on two-dimensional electrons confined to wide GaAs quantum wells reveal a remarkable evolution of the ground state at filling factor $\nu=1/2$ as we tilt the sample in the magnetic field. Starting with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-08 Sukret Hasdemir , Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

General Relativity and Quantum Cosmology · Physics 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

Two-component fractional quantum Hall systems are providing a major motivation for a large section of the physics community. Here we study two-component fractional quantum Hall systems in the spin-polarized half-filled lowest Landau level…

Mesoscale and Nanoscale Physics · Physics 2010-12-10 Michael R. Peterson , Z. Papic , S. Das Sarma

When confined to two dimensions and exposed to a strong magnetic field, electrons screen the Coulomb interaction in a topological fashion; they capture and even number of quantum vortices and transform into particl es called `composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vito W. Scarola , Kwon Park , J. K. Jain

We study a trial wavefunction for an interstitial in a Wigner crystal. We find that the electron correlations, ignored in a conventional Hartree-Fock treatment, dramatically lower the interstitial energy, especially at fillings close to an…

Condensed Matter · Physics 2009-10-22 Lian Zheng , H. A. Fertig

Magnetic-field-induced phase transitions were studied with a two-dimensional electron AlGaAs/GaAs system. The temperature-driven flow diagram shows the features of the $\Gamma$(2) modular symmetry, which includes distorted flowlines and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. F. Huang , Y. H. Chang , H. H. Cheng , Z. P. Yang , H. D. Yeh , C. H. Hsu , C. -T. Liang , D. R. Hang , H. H. Lin

We synthesize and partly review recent developments relating the physics of the half-filled Landau level in two dimensions to correlated surface states of topological insulators in three dimensions. The latter are in turn related to the…

Strongly Correlated Electrons · Physics 2016-02-10 Chong Wang , T. Senthil

We study the spin ordering of a quantum dot defined via magnetic barriers in an interacting quantum spin Hall edge. The spin-resolved density-density correlation functions are computed. We show that strong electron interactions induce a…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 G. Dolcetto , N. Traverso Ziani , M. Biggio , F. Cavaliere , M. Sassetti

We report the observation of a resonance in the microwave spectra of the real diagonal conductivities of a two-dimensional electron system within a range of ~ +- .0.015 $ from filling factor $\nu=1/3$. The resonance is remarkably similar to…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Han Zhu , Yong P. Chen , P. Jiang , L. W. Engel , D. C. Tsui , L. N. Pfeiffer , K. W. West

approaches. We demonstrate that the Wigner regime can be reached using small values of the confinement parameter. To obtain physical insight in our results we analyze them with a semi-analytical model for two electrons. Thanks to…

We study the entanglement spectra of bilayer quantum Hall systems at total filling factor nu=1. In the interlayer-coherent phase at layer separations smaller than a critical value, the entanglement spectra show a striking similarity to the…

Mesoscale and Nanoscale Physics · Physics 2011-03-22 John Schliemann

Recent experiments have shown that, counterintuitively, applying a magnetic field to a Wigner crystal can induce quantum Hall effects. In this Letter, we use variational Monte Carlo to show that a magnetic field can melt zero-field Wigner…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Aidan P. Reddy , Liang Fu

We investigate the influence of confinement on the positional order of a quasi-1D electron system trapped on the surface of liquid helium. We find evidence that the melting of the Wigner solid (WS) depends on the confinement strength, as…

In an ideal two-component two-dimensional electron system, particle-hole symmetry dictates that the fractional quantum Hall states around $\nu = 1/2$ are equivalent to those around $\nu = 3/2$. We demonstrate that composite fermions (CFs)…

Strongly Correlated Electrons · Physics 2010-03-09 Medini Padmanabhan , Tayfun Gokmen , Mansour Shayegan

We study interacting GaAs bilayer hole systems, with very small interlayer tunneling, in a counterflow geometry where equal currents are passed in opposite directions in the two, independently contacted layers. At low temperatures, both the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Tutuc , M. Shayegan , D. A. Huse
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