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Related papers: Composite Fermions with Spin at $\nu =1/2$

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We consider the ``fractional quantum Hall atom" in the vanishing Zeeman energy limit, and investigate the validity of Hund's maximum-spin rule for interacting electrons in various Landau levels. While it is not valid for {\em electrons} in…

Condensed Matter · Physics 2009-10-22 J. K. Jain , X. G. Wu

We calculate the effect of infrared fluctuations of the Chern-Simons gauge field on the single-particle Green's function of composite fermions in the half-filled Landau level via higher-dimensional bosonization on a curved Fermi surface. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Peter Kopietz , Guillermo E. Castilla

While the composite fermion picture is so effective as to describe the excitation spectra including the spin wave for Laughlin's quantum liquid, ``how heavy and how strongly-interacting" remains a formidable question for the composite…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Hideo Aoki

Interacting electrons in a semiconductor quantum dot at strong magnetic fields exhibit a rich set of states, including correlated quantum fluids and crystallites of various symmetries. We develop in this paper a perturbative scheme based on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

The non-perturbative effect of interaction can sometimes make interacting bosons behave as though they were free fermions. The system of neutral bosons in a rapidly rotating atomic trap is equivalent to charged bosons coupled to a magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Chia-Chen Chang , Nicolas Regnault , Thierry Jolicoeur , Jainendra K. Jain

The residual interaction between composite fermions (CFs) can express itself through higher order fractional Hall effect. With the help of diagonalization in a truncated composite fermion basis of low-energy many-body states, we predict…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Chia-Chen Chang , Sudhansu S. Mandal , Jainendra K. Jain

By developing an algorithm for evaluating the basis states for the composite fermions with negative effective magnetic field, we perform the composite-fermion-diagonalization study for the fully spin-polarized fractional quantum Hall states…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Sutirtha Mukherjee , Sudhansu S. Mandal

Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Regnault , C. C. Chang , Th. Jolicoeur , J. K. Jain

Numerical studies by W\'ojs, Yi and Quinn have suggested that an unconventional fractional quantum Hall effect is plausible at filling factors $\nu=$ 1/3 and 1/5, provided the interparticle interaction has an unusual form for which the…

Strongly Correlated Electrons · Physics 2016-10-14 Ajit C. Balram

The relation between the conductivity tensors of Composite Fermions and electrons is extended to second generation Composite Fermions. It is shown that it crucially depends on the coupling matrix for the Chern-Simons gauge field. The…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

Composite fermions (CFs), exotic particles formed by pairing an even number of flux quanta to each electron, provide a fascinating description of phenomena exhibited by interacting two-dimensional electrons at high magnetic fields. At and…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 D. Kamburov , Yang Liu , M. A. Mueed , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The composite-fermion approach as formulated in the fermion Chern-Simons theory has been very successful in describing the physics of the lowest Landau level near Landau level filling factor 1/2. Recent work has emphasized the fact that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Felix von Oppen , Bertrand I. Halperin , Steven H. Simon , Ady Stern

Transport measurements under a tilted magnetic field were performed on a series of C-doped (001) AlGaAs/GaAs/AlGaAs two-dimensional hole samples. Due to a large g-factor, Zeeman energy is large and comparable to the cyclotron energy in…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Po Zhang , Ruiyuan Liu , Rui-Rui Du , L. N. Pfeiffer , K. W. West

There is increasing experimental evidence for fractional quantum Hall effect at filling factor $\nu=2+3/8$. Modeling it as a system of composite fermions, we study the problem of interacting composite fermions by a number of methods. In our…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 Csaba Toke , Chuntai Shi , Jainendra K. Jain

Spin-wave excitation mode from the spin-polarized ground state in the fractional quantum Hall liquid with odd fractions ($\nu=1/3,1/5$) numerically obtained by the exact diagonalization of finite systems is shown to be accurately described,…

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

We consider the Coulomb drag between two two-dimensional electron layers at filling factor \nu = 1/2 each, using a strong coupling approach within the composite fermion picture. Due to an attractive interlayer interaction, composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Iddo Ussishkin , Ady Stern

We demonstrate the formation of composite fermions in two-dimensional quantum dots under high magnetic fields. The composite fermion interpretation provides a simple way to understand several qualitative and quantitative features of the…

Condensed Matter · Physics 2009-10-22 J. K. Jain , T. Kawamura

Low lying states of a 2D electron-hole system contain electrons and one or more types of charged excitonic complexes. Binding energies and angular momenta of these excitonic ions, and the pseudopotentials describing their interactions with…

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

We consider electrons in two dimensions in a strong magnetic field at half filling of the lowest Landau level using the Chern-Simons approach. Starting from a lattice Hamiltonian for the electrons, we derive a path integral (PI) formulation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Weller , J. Dietel , Th. Koschny , W. Apel

We study theoretically the magnetoresistance oscillations near a half-filled lowest Landau level ($\nu = 1/2$) that result from the presence of a periodic one-dimensional electrostatic potential. We use the Dirac composite fermion theory of…

Strongly Correlated Electrons · Physics 2019-10-23 Amartya Mitra , Michael Mulligan