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Related papers: Excitons of Composite Fermions

200 papers

We investigate the feasibility of many candidate quantum Hall states for two-component bosons in the lowest Landau level. We identify interactions for which spin-singlet incompressible states occur at filling factors $\nu=2/3$, 4/5 and 4/3,…

Strongly Correlated Electrons · Physics 2013-06-25 Ying-Hai Wu , Jainendra K. Jain

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 Kohn-Sham density functional method for the fractional quantum Hall (FQH) effect has recently been developed by mapping the strongly interacting electrons into an auxiliary system of weakly interacting composite fermions (CFs) that…

Strongly Correlated Electrons · Physics 2024-12-04 Yi Yang , Songyang Pu , Yayun Hu , Zi-Xiang Hu

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

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

Based on a microscopic evaluation of the local current density, a treatment of edge magnetoplasmons (EMP) is presented for confining potentials that allow Landau level (LL) flattening to be neglected. Mode damping due to electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 O. G. Balev , P. Vasilopoulos

The Hall-resistance curve of a two-dimensional electron system in the presence of a strong perpendicular magnetic field is an example of self-similarity. It reveals plateaus at low temperatures and has a fractal structure. We show that this…

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

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 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

When two 2D electron gas layers, each at Landau level filling factor $\nu=1/2$, are close together a condensate of interlayer excitons emerges at low temperature. Although the excitonic phase is qualitatively well understood, the incoherent…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The excitations of the 7/3 fractional Hall state, one of the most prominent states in the second Landau level, are not understood. We study the effect of screening by composite fermion excitons and find that it causes a strong…

Strongly Correlated Electrons · Physics 2016-04-05 Ajit C. Balram , Ying-Hai Wu , G. J. Sreejith , Arkadiusz Wójs , Jainendra 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

We consider a two dimensional electron system in an external magnetic field at and near an even denominator Landau level filling fraction. Using a fermionic Chern--Simons approach we study the description of the system's low energy…

Condensed Matter · Physics 2009-10-28 Ady Stern , Bertrand I. Halperin

Understanding the effects of nonequilibrium on strongly interacting quantum systems is a challenging problem in condensed matter physics. In dimensions greater than one, interacting electrons can often be understood within Fermi-liquid…

Strongly Correlated Electrons · Physics 2015-05-14 So Takei , Mirco Milletari' , Bernd Rosenow

We bosonize the low energy excitations of Fermi Liquids in any number of dimensions in the limit of long wavelengths. The bosons are coherent superposition of electron-hole pairs and are related with the displacement of the Fermi Surface in…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

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

We report inelastic light scattering experiments in the fractional quantum Hall regime at filling factors $\nu\lesssim1/3$. A spin mode is observed below the Zeeman energy. The filling factor dependence of the mode energy is consistent with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Gallais , T. H. Kirschenmann , C. F. Hirjibehedin , I. Dujovne , A. Pinczuk , L. N. Pfeiffer , K. W. West

Composite fermions provide a simple and unified picture to understand a vast amount of phenomenology in the quantum Hall regime. However it has remained challenging to formulate this concept properly within a single Landau level. Recently a…

Strongly Correlated Electrons · Physics 2022-01-25 Ken K. W. Ma , Kun Yang

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim Apalkov , Xue-Feng Wang , Tapash Chakraborty

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