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We report the observation of fractional quantum Hall (FQH) effects in a two-dimensional electron gas (2DEG) confined to an InAs/AlGaSb quantum well, using a dual-gated Hall-bar device allowing for the independent control of the vertical…

Mesoscale and Nanoscale Physics · Physics 2022-02-17 S. Komatsu , H. Irie , T. Akiho , T. Nojima , T. Akazaki , K. Muraki

The temperature driven flow lines of the Hall and dissipative magnetoconductance data (\sigma_{xy},\sigma_{xx}) are studied in the fractional quantum Hall regime for a 2D electron system in GaAs/Al_{x}Ga_{1-x}As heterostructures. The flow…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. S. Murzin , S. I. Dorozhkin , D. K. Maude , A. G. M. Jansen

The energy spectrum of a two-dimensional electron gas (2DEG) interacting with a valence-band hole is studied in the high magnetic field limit as a function of the filling factor nu and the separation d between the electron and hole layers.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , Kyung-Soo Yi , John J. Quinn

The average electron spin-polarization $\cal P$ of two-dimensional electron gas confined in $\rm GaAs/GaAlAs$ multiple quantum-wells was measured by nuclear magnetic resonance (NMR) near the fractional quantum Hall state with filling factor…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 N. Freytag , Y. Tokunaga , M. Horvatic , C. Berthier , M. Shayegan , L. Levy

The effective mass of the quasi-particles in the fermion-Chern-Simons description of the quantum Hall state at half-filling is computed for electron-electron interactions $V(r)\sim r^{x-2}$, for $0<x<3/2$, following the previous work of…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Antoine Praz

We present a particle-hole symmetric theory for a two-dimensional electron gas at filling factor one half. In this theory, elementary excitations are dipole-like fermions floating on top of the $\nu=1/2$ boson quantum Hall liquid. In the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Dung-Hai Lee

The fractional quantum Hall effect is observed at low field, in a regime where the cyclotron energy is smaller than the Coulomb interaction. The nu=5/2 excitation gap is measured to be 262+/-15 mK at ~2.6 T, in good agreement with previous…

Mesoscale and Nanoscale Physics · Physics 2008-04-10 C. R. Dean , B. A. Piot , P. Hayden , S. Das Sarma , G. Gervais , L. N. Pfeiffer , K. W. West

The fractional quantum Hall effect in 2D electron gases submitted to large magnetic fields remains one of the most striking phenomena in condensed matter physics. Historically, the first observed signature is a Hall resistance quantized to…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Nicolas Rougerie

Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-dimensional (2D) electron systems when electron-electron interaction dominates over the thermal and kinetic energies. Particularly intriguing among the FQHSs…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 Chengyu Wang , A. Gupta , S. K Singh , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

Charge distribution offers a unique fingerprint of important properties of electronic systems, including dielectric response, charge ordering and charge fractionalization. We develop a new architecture for charge sensing in two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Cheng-Li Chiu , Taige Wang , Ruihua Fan , Kenji Watanabe , Takashi Taniguchi , Xiaomeng Liu , Michael P. Zaletel , Ali Yazdani

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

Using the Thomas-Fermi approximation, we show that an interacting two dimensional electron gas may be described in terms of fractional exclusion statistics at zero and finite temperatures when the interaction has a short-range component. We…

Condensed Matter · Physics 2009-10-28 R. K. Bhaduri , M. V. N. Murthy , M. K. Srivastava

A general analytical framework for the determination of the mean field states at arbitrary rational filling factors for the 2DEG in FQHE regime is given. Its use allows to obtain analytic expressions for the solutions at filling factors of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alejandro Cabo , Francisco Claro , Alejandro Perez , Jeronimo Maze

Using a tilted field geometry, the effect of an in-plane magnetic field on the even denominator nu = 5/2 fractional quantum Hall state is studied. The energy gap of the nu = 5/2 state is found to collapse linearly with the in-plane magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 C. R. Dean , B. A. Piot , P. Hayden , S. Das Sarma , G. Gervais , L. N. Pfeiffer , K. W. West

We compare the energies of different electron solids, such as bubble crystals with triangular and square symmetry and stripe phases, to those of correlated quantum liquids in partially filled intermediate Landau levels. Multiple transitions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

A sufficiently large perpendicular magnetic field quenches the kinetic (Fermi) energy of an interacting two-dimensional (2D) system of fermions, making them susceptible to the formation of a Wigner solid (WS) phase in which the charged…

Mesoscale and Nanoscale Physics · Physics 2020-07-16 Meng K. Ma , K. A. Villegas Rosales , H. Deng , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

We analytically calculate gaps for the 1/3, 2/5, and 3/7 polarized and partially polarized Fractional Quantum Hall states based on the Hamiltonian Chern-Simons theory we have developed. For a class of potentials that are soft at high…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ganpathy Murthy , R. Shankar

The fractional quantum Hall (FQH) effect is reported in a high mobility CdTe quantum well at mK temperatures. Fully-developed FQH states are observed at filling factor 4/3 and 5/3 and are found to be both spin-polarized ground state for…

Mesoscale and Nanoscale Physics · Physics 2010-08-16 B. A. Piot , J. Kunc , M. Potemski , D. K. Maude , C. Betthausen , A. Vogl , D. Weiss , G. Karczewski , T. Wojtowicz

We have exactly solved the eigenequation of a two-dimensional Dirac fermion moving on the surface of a sphere under the influence of a radial magnetic field B, and obtained an exact expression of the collective excitation energy gap for the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Yu-Liang Liu

In a previous work, we reported exact results of energies of the ground state in the fractional quantum Hall effect (FQHE) regime for systems with up to $N_{\text{e}} = 6$ electrons at the filling factor $\nu = 1/3$ by using the method of…

Strongly Correlated Electrons · Physics 2017-02-13 M. A. Ammar , Z. Bentalha , S. Bekhechi
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