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By means of degenerate four-wave mixing (FWM), we investigate the quantum coherence of electron-hole pairs in the presence of a two-dimensional electron gas in modulation-doped GaAs-AlGaAs quantum wells in the quantum Hall effect regime.…

The double fractional quantum Hall system of spin 1/2 electrons is numerically studied to predict that there exists a novel spin-unpolarized quantum liquid specific to the multi-species system, which exemplifies a link between the spin…

Condensed Matter · Physics 2009-10-22 T. Nakajima , H. Aoki

Enhancement of the electron spin polarization in a correlated two-layer two-dimensional electron system at a total Landau level filling factor of one is reported. Using resistively detected nuclear magnetic resonance, we demonstrate that…

Strongly Correlated Electrons · Physics 2015-04-30 L. Tiemann , W. Wegscheider , M. Hauser

In this paper we consider the three-particle density correlation function for a fractional quantum Hall liquid. The study of this object is motivated by recent experimental studies of fractional quantum Hall systems using inelastic light…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Brownlie , Keith A. Benedict

Three-particle complexes consisting of two holes in the completely filled zero electron Landau level and an excited electron in the unoccupied first Landau level are investigated in a quantum Hall insulator. The distinctive features of…

Strongly Correlated Electrons · Physics 2018-11-28 V. A. Kuznetsov , L. V. Kulik , M. D. Velikanov , A. S. Zhuravlev , A. V. Gorbunov , S. Schmult , I. V. Kukushkin

The two-dimensional electron system (2DES) is a unique laboratory for the physics of interacting particles. Application of a large magnetic field produces massively degenerate quantum levels known as Landau levels. Within a Landau level the…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 O. E. Dial , R. C. Ashoori , L. N. Pfeiffer , K. W. West

We study two dimensional electron systems confined in wide quantum wells whose subband separation is comparable with the Zeeman energy. Two N = 0 Landau levels from different subbands and with opposite spins are pinned in energy when they…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Wenlu Lin , Xing Fan , Lili Zhao , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Hong Lu , Yang Liu

Dynamical Hall conductivity {\sigma}_H({\omega}) of a 2D electron gas with impurities in the perpendicular magnetic field is analyzed. Plateau-like behavior at low frequencies as well as at high frequencies provided the complete filling of…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Zhyrair Gevorkian , Vadim Farztdinov , Yurii Lozovik

The abelian hierarchy of quantum Hall states accounts for most of the states in the lowest Landau level, and there is evidence of a similar hierarchy of non-abelian states emanating from the {\nu} = 5/2 Moore-Read state in the second Landau…

Strongly Correlated Electrons · Physics 2015-05-20 J. Suorsa , S. Viefers , T. H. Hansson

We discuss the properties of few electrons and electron-hole pairs confined in coupled semiconductor quantum dots, with emphasis on correlation effects and the role of tunneling. We shall discuss, in particular, exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Guido Goldoni , Filippo Troiani , Massimo Rontani , Devis Bellucci , Elisa Molinari , Ulrich Hohenester

Optically generated electron-hole pairs can probe strongly correlated electronic matter, or, by forming exciton-polaritons within an optical cavity, give rise to photonic nonlinearities. The present paper theoretically studies the…

Strongly Correlated Electrons · Physics 2020-04-29 Tobias Graß , Ovidiu Cotlet , Atac İmamoğlu , Mohammad Hafezi

We show that the introduction of a more general closed-shell operator allows one to extend Laughlin's wave function to account for the richer hierarchies (1/3, 2/5, 3/7 ...; 1/5, 2/9, 3/13, ..., etc.) found experimentally. The construction…

Condensed Matter · Physics 2009-01-23 Joe Ginocchio , Wick Haxton

In the hierarchical theory of the fractional quantum Hall effect, the low--energy behaviour of a daughter state in the next level of the hierarchy is described by an interacting system of quasiparticles of the parent state. Taking the…

Condensed Matter · Physics 2007-05-23 M. Kasner

Quantum field-theory is developed for treating electrons and holes in planar systems. Non-unitary representations of Dirac equation in the plane are developed. These equations can be used for treating holes-electron pairing in high TC…

Superconductivity · Physics 2013-09-26 Y. Ben-Aryeh

The Landau level mixing is the key in understanding the mysterious $5/2$ fractional quantum Hall effect in GaAs quantum well. Theoretical calculations with and without Landau level mixing show striking differences. However, the way to deal…

Strongly Correlated Electrons · Physics 2024-05-08 Wenchen Luo , Muaath Abdulwahab , Xiang Liu , Hao Wang

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

We study electronic structures of quasi-two-dimensional finite electron systems in high magnetic fields. The solutions in the fractional quantum Hall regime are interpreted as quantum liquids of electrons and off-electron vortices. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Henri Saarikoski , Ari Harju

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip Kim

Microscopic processes giving the energy gain and loss of a two-dimensional electron system in long-range potential fluctuations are studied theoretically at the breakdown of the quantum Hall effect in the case of even-integer filling…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hiroshi Akera

We studied a vertical ``quantum dot molecule'', where one of the dots is occupied with electrons and the other with holes. We find that different phases occur in the ground state, depending on the carrier density and the interdot distance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen , M. Koskinen , M. Manninen , S. M. Reimann
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