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Motivated by the discovery of extremely low energy collective modes in the fractional quantum Hall effect (Kang, Pinczuk {\em et al.}), with energies below the Zeeman energy, we study theoretically the spin reversed excitations for…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sudhansu S. Mandal , J. K. Jain

Resonant inelastic light scattering experiments access the low lying excitations of electron liquids in the fractional quantum Hall regime in the range $2/5 \geq \nu \geq 1/3$. Modes associated with changes in the charge and spin degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Dujovne , C. F. Hirjibehedin , A. Pinczuk , Moonsoo Kang , B. S. Dennis , L. N. Pfeiffer , K. W. West

The activation gaps for fractional quantum Hall states at filling fractions $\nu=n/(2n+1)$ are computed for heterojunction, square quantum well, as well as parabolic quantum well geometries, using an interaction potential calculated from a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Park , N. Meskini , J. K. Jain

We present a microscopic theory of skyrmion and antiskyrmion excitations in fractional quantum Hall systems, and calculate in an analytical fashion their excitation energies. From the calculated net spins at various fractional filling…

Condensed Matter · Physics 2007-05-23 Kang-Hun Ahn , K. J. Chang

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

We compute energy gaps for spin-polarized fractional quantum Hall states in the lowest Landau level at filling fractions nu=1/3, 2/5,3/7 and 4/9 using exact diagonalization of systems with up to 16 particles and extrapolation to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. H. Morf , N. d'Ambrumenil , S. Das Sarma

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 low energy neutral excitations of incompressible fractional quantum Hall states are called collective modes or magnetic excitons. This work develops techniques for computing their dispersion at general filling fractions for reasonably…

Condensed Matter · Physics 2009-10-28 R. K. Kamilla , X. G. Wu , J. K. Jain

The energy gaps for the fractional quantum Hall effect at filling fractions 1/3, 1/5, and 1/7 have been calculated by variational Monte Carlo using Jain's composite fermion wave functions before and after projection onto the lowest Landau…

Condensed Matter · Physics 2009-10-22 N. E. Bonesteel

We consider a collection of fermions in a strong magnetic field coupled by a purely three body repulsive interaction, and predict the formation of composite fermions, leading to a remarkably rich phase diagram containing a host of…

Strongly Correlated Electrons · Physics 2015-05-19 Arkadiusz Wojs , Csaba Toke , Jainendra K. Jain

We investigate the 1/3 fractional quantum Hall state with one and two quasiparticle excitations. It is shown that the quasiparticle excitations are best described as excited composite fermions occupying higher composite-fermion quasi-Landau…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Gun Sang Jeon , Jainendra K. Jain

The spin-excitations of a fractional quantum Hall system are evaluated within a bosonization approach. In a first step, we generalize Murthy and Shankar's Hamiltonian theory of the fractional quantum Hall effect to the case of composite…

Materials Science · Physics 2007-05-23 R. L. Doretto , M. O. Goerbig , P. Lederer , A. O. Caldeira , C. Morais Smith

We have studied collective spin density excitations of fractional quantum Hall effect (FQHE) in rotating Bose-Einstein condensation for the three filling fractions of first series of Jain's composite fermion sequences. We have considered,…

Mesoscale and Nanoscale Physics · Physics 2019-06-13 Moumita Indra , Dwipesh Majumder

We analyze electronic excitations (excitations generated by adding or removing one electron) in the bulk of fractional quantum Hall states in Jain sequence states, using composite fermion Chern-Simons field theory. Starting from meanfield…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Xinlei Yue , Ady Stern

Charged excitons of composite fermions (CFs) are considered in the fractional quantum Hall effect. Energies of the charged CF excitons are computed at $\nu=1/3$ as a function of the size of exciton. We show that the charged CF exciton with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kwon Park

We report observations of collective gap excitations of the fractional quantum Hall (FQH) states at filling factors \nu=p/(2p+1) (p=integer), for 1/3 <= \nu <= 2/3, by inelastic light scattering. The collective gap energies at \nu= 1/3, 2/5…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Moonsoo Kang , A. Pinczuk , B. S. Dennis , M. A. Eriksson , L. N. Pfeiffer , K. W. West

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

In the framework of a recently developed model of interacting composite fermions, we calculate the energy of different solid and Laughlin-type liquid phases of spin-polarized composite fermions. The liquid phases have a lower energy than…

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

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

Strongly Correlated Electrons · Physics 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain

We find the RPA correlation energy and collective modes of the systems of composite fermions corresponding to the fillings of $1/3$, $1/5$, $2/5$ in the fractional quantum Hall effect. It is verified that transmutations to composite…

Condensed Matter · Physics 2015-06-25 P. Sitko , L. Jacak
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