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We apply the methods of continuum mechanics to the study of the collective modes of the fractional quantum Hall liquid. Our main result is that at long wavelength there are {\it two} distinct modes of oscillations, while previous theories…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. V. Tokatly , G. Vignale

The collective modes of striped phases in a quantum Hall system are computed using the time-dependent Hartree-Fock approximation. Uniform stripe phases are shown to be unstable to the formation of modulations along the stripes, so that…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Cote , H. A. Fertig

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

We apply quantum continuum mechanics to the calculation of the excitation spectrum of a coupled electron-hole bilayer. The theory expresses excitation energies in terms of ground-state intra- and inter-layer pair correlation functions,…

Strongly Correlated Electrons · Physics 2021-10-04 S. De Palo , P. E. Trevisanutto , G. Senatore , G. Vignale

We calculate the electromagnetic response functions of a Fractional Quantum Hall system within the framework of the fermion Chern-Simons theory for the Fractional Hall Effect (FQHE) which we developed before. Our results are valid in a…

Condensed Matter · Physics 2009-10-22 Ana Lopez , Eduardo Fradkin

In this work we investigate collective excitations at the boundary of a recently constructed 4D quantum Hall state. Local bosonic operators for creating these collective excitations can be constructed explicitly. Massless relativistic wave…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jiangping Hu , Shou-Cheng Zhang

We study the collective excitation spectra of double-layer quantum-Hall systems using the single mode approximation. The double-layer in-phase density excitations are similar to those of a single-layer system. For out-of-phase density…

Condensed Matter · Physics 2009-10-22 A. H. MacDonald , Shou-Cheng Zhang

The low-lying excitations of a quantum Hall state on a disk geometry are edge excitations. Their dynamics is governed by a conformal field theory on the cylinder defined by the disk boundary and the time variable. We give a simple and…

High Energy Physics - Theory · Physics 2009-10-22 A. Cappelli , G. V. Dunne , C. A. Trugenberger , G. R. Zemba

To probe the nature of the even-fraction quantum Hall system, we have investigated the low-lying excitation spectrum by means of exact diagonalization for finite systems. We have found (i) a striking one-to-one correspondence (i.e., a shell…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Masaru Onoda , Takahiro Mizusaki , Takaharu Otsuka , Hideo Aoki

We propose a quantum stripe (smectic) coupled-Luttinger-liquid model for the anisotropic states which occur in two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} = \nu - \lbrack\nu\rbrack$. Perturbative…

Condensed Matter · Physics 2009-10-31 A. H. MacDonald , Matthew P. A. Fisher

We study the neutral excitations of fractional quantum Hall states in electronic systems of finite width where an external anisotropy is introduced by tilting the magnetic field. As in the isotropic case, the neutral collective excitation…

Strongly Correlated Electrons · Physics 2020-08-05 Kang Yang , Mark Goerbig , Benoît Douçot

We have generalized recent results of Cappelli, Trugenberger and Zemba on the integer quantum Hall effect constructing explicitly a ${\cal W}_{1+\infty}$ for the fractional quantum Hall effect such that the negative modes annihilate the…

High Energy Physics - Theory · Physics 2011-07-19 Michael Flohr , Raimund Varnhagen

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

We study the entanglement properties of some fractional quantum Hall liquids. We calculate the entanglement of the Laughlin wave function and the wave functions that are generated by the K-matrix using the modified entanglement measure of…

Quantum Physics · Physics 2009-11-07 Bei Zeng , Hui Zhai , Zhan Xu

The quantum excitations in glasses have long presented a set of puzzles for condensed matter physicists. A common view is that they are largely disordered analogs of elementary excitations in crystals, supplemented by two level systems…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vassiliy Lubchenko , Peter G. Wolynes

The collective modes of a familiar two-dimensional one-component-plasma with the repulsive logarithmic interaction between the particles are analysed using the quasi-crystalline approximation (QCA) combined with the molecular dynamic…

Plasma Physics · Physics 2016-06-07 S. A. Khrapak , B. A. Klumov , A. G. Khrapak

We extend the single-mode Approximation (SMA) into quantum Monte Carlo simulations to provides an efficient and fast method to obtain the dynamical dispersion of quantum many-body systems. Based on stochastic series expansion (SSE) and its…

Strongly Correlated Electrons · Physics 2024-11-25 Yan Liu , Kemeng Wu , Shutao Liu , Yan-Cheng Wang , Jie Lou , Zheng Yan , Yan Chen

We investigate minimal excitation states for heat transport into a fractional quantum Hall system driven out of equilibrium by means of time-periodic voltage pulses. A quantum point contact allows for tunneling of fractional quasi-particles…

Mesoscale and Nanoscale Physics · Physics 2017-06-16 Luca Vannucci , Flavio Ronetti , Jérôme Rech , Dario Ferraro , Thibaut Jonckheere , Thierry Martin , Maura Sassetti

We use the dynamical structure factors of the quantum Hall states at $\nu=1/3$ and $\nu=1/2$ in the lowest Landau level to study their excitation spectrum. Using the density matrix renormalization group in combination with the…

Strongly Correlated Electrons · Physics 2022-09-07 Prashant Kumar , F. D. M. Haldane

Neutral collective excitations in the striped Hall state are studied by using the single mode approximation and Hartree-Fock approximation at the half-filled third and fourth Landau level. We find that the spectrum includes anisotropic NG…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 N. Maeda , T. Aoyama , Y. Ishizuka , K. Ishikawa
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