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Electron-hole systems on a Haldane sphere are studied by exact numerical diagonalization. Low lying states contain one or more types of bound charged excitonic complexes Xk-, interacting through appropriate pseudopotentials. Incompressible…

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

The composite Fermion (CF) picture offers a simple intuitive way of understanding many of the surprising properties of a strongly interacting two-dimensional electron fluid in a large magnetic field. The simple way in which the mean field…

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

Two-dimensional systems containing Ne electrons and Nh holes (Ne>Nh) strongly correlated through Coulomb interactions in the presence of a large magnetic field are studied by exact numerical diagonalization. Low lying states are found to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John J. Quinn , Arkadiusz Wojs , Izabela Szlufarska , Kyung-Soo Yi

The mean field (MF) composite Fermion (CF) picture successfully predicts low lying states of fractional quantum Hall systems. This success cannot be attributed to a cancellation between Coulomb and Chern-Simons interactions beyond the mean…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Arkadiusz Wojs , John J. Quinn

The mean field composite Fermion (MFCF) picture has been qualitatively successful when applied to electrons (or holes) in the lowest Landau level. Because the energy scales associated with Coulomb interactions and with Chern-Simons gauge…

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

The mean field (MF) composite Fermion (CF) picture successfully predicts the band of low lying angular momentum multiplets of fractional quantum Hall systems for any value of the magnetic field. This success cannot be attributed to a…

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

Composite fermions (CFs), exotic quasi-particles formed by pairing an electron and an even number of magnetic flux quanta emerge at high magnetic fields in an interacting electron system, and can explain phenomena such as the fractional…

Mesoscale and Nanoscale Physics · Physics 2022-07-19 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

The optical properties of an electron gas in a magnetic field at filling fractions \nu = {1\over 2m} (m=1,2,3...) are investigated using the composite fermion picture. The response of the system to the presence of valence-band holes is…

Condensed Matter · Physics 2009-10-28 Darren J. T. Leonard , Neil F. Johnson , V. Nikos Nicopoulos , F. J. Rodriguez

The mean field (MF) composite Fermion (CF) picture successfully predicts the low-lying bands of states of fractional quantum Hall systems. This success cannot be attributed to the originally proposed cancellation between Coulomb and…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Arkadiusz Wojs , John J Quinn , Lucjan Jacak

We propose a fermion Chern-Simons field theory describing two- dimensional electrons in the lowest Landau level. This theory is constructed with a complete set of states, and the lowest Landau level constraint is enforced through a…

Condensed Matter · Physics 2009-10-28 Lizeng Zhang

The flux quanta attachment to the electrons creates composite fermions (CFs). The mass, the size and the density of the CF are inconsistent with real material. The sequence of fractional charges which suggest formation of CF agrees with the…

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

The model of Composite Fermions for describing interacting electrons in two dimensions in the presence of a magnetic field is described. In this model, charged Fermions are combined with an even number of magnetic flux quanta in such a way…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Kramer , N. Magnoli , E. Mariani , M. Merlo , F. Napoli , M. Sassetti

The two dimensional system of electrons in a high magnetic field offers an opportunity to investigate a phase transition from a quantum liquid into a Wigner solid. Recent experiments have revealed an incipient composite fermion liquid in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sudhansu S. Mandal , Michael R. Peterson , Jainendra K. Jain

We construct a density functional theory for two-dimension electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the…

Strongly Correlated Electrons · Physics 2019-03-11 Yinhan Zhang , Junren Shi

The mean field composite Fermion (CF) picture successfully predicts angular momenta of multiplets forming the lowest energy band in fractional quantum Hall (FQH) systems. This success cannot be attributed to a cancellation between Coulomb…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 Arkadiusz Wojs , John J. Quinn

We present a generalization of the composite Fermion picture for a muticomponent quantum Hall plasma which contains particle with different effective charges. The model predicts very well the low-lying states of a $\nu=5/2$ quantum Hall…

Strongly Correlated Electrons · Physics 2015-05-14 George E. Simion , John J. Quinn

Pairing interaction between fermionic particles leads to composite Bosons that condense at low temperature. Such condensate gives rise to long range order and phase coherence in superconductivity, superfluidity, and other exotic states of…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 J. I. A. Li , Q. Shi , Y. Zeng , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean

We study fractional quantum Hall states in double layer systems that can be interpreted as exciton condensates of composite fermions. An electron in one layer is dressed by two fluxes from the same layer and two fluxes from the other layer…

Strongly Correlated Electrons · Physics 2025-06-17 Xiang-Jian Hou , Lei Wang , Ying-Hai Wu

The composite fermion formalism elegantly describes some of the most fascinating behaviours of interacting two-dimensional carriers at low temperatures and in strong perpendicular magnetic fields. In this framework, carriers minimize their…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 D. Kamburov , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer
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