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Collective excitations of Fractional Quantum Hall (FQH) liquids at long wavelengths are thought to be of a generally covariant geometric nature, governed by area-preserving diffeomorphisms ($\mathrm{SDiff}$). But current analyses rely…

Strongly Correlated Electrons · Physics 2026-04-09 Hisham Sati , Urs Schreiber

Collective excitations of many-body electron systems can carry internal structure, tied to the quantum geometry of the Hilbert space in which they are embedded. This has been shown explicitly for particle-hole-like excitations, which carry…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 H. A. Fertig , Luis Brey

We investigate the Hall effect in a quasi one-dimensional system made of weakly coupled Luttinger Liquids at half filling. Using a memory function approach, we compute the Hall coefficient as a function of temperature and frequency in the…

Strongly Correlated Electrons · Physics 2007-12-04 G. León , C. Berthod , T. Giamarchi

We theoretically study the quantized anomalous Hall effect (QAHE) in skyrmion crystal (SkX) without external magnetic field. The emergent magnetic field in SkX could be gigantic as much as $\sim4000$T when its lattice constant is $\sim1$nm.…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Keita Hamamoto , Motohiko Ezawa , Naoto Nagaosa

We study the electronic excitation spectra in solid molecular hydrogen (phase I) at ambient temperature and 5-90 GPa pressures using Quantum Monte Carlo methods and Many-Body Perturbation Theory. In this range, the system changes from a…

Materials Science · Physics 2024-05-21 Vitaly Gorelov , Markus Holzmann , David M. Ceperley , Carlo Pierleoni

We combine classical heuristics with partial shadow tomography to enable efficient protocols for extracting information from correlated ab initio electronic systems encoded on quantum devices. By proposing the use of a correlation energy…

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 excitation of single-electron wave packets by means of a time dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor $\nu=2$. Due to electron-electron interactions,…

Mesoscale and Nanoscale Physics · Physics 2018-07-23 Matteo Acciai , Matteo Carrega , Jérôme Rech , Thibaut Jonckheere , Thierry Martin , Maura Sassetti

We study a 1D lattice Hamiltonian, relevant for a wide range of interesting physical systems like, e.g., the quantum-Hall system, cold atoms or molecules in optical lattices, and TCNQ salts. Through a tuning of the interaction parameters…

Strongly Correlated Electrons · Physics 2012-10-29 Emma Wikberg

We study sound in a single-channel one-dimensional quantum liquid. In contrast to classical fluids, instead of a single sound mode we find two modes of density oscillations. The speeds at which these two sound modes propagate are nearly…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 K. A. Matveev , A. V. Andreev

We first give a short review of the ``local-current approximation'' (LCA), derived from a general variation principle, which serves as a semiclassical description of strongly collective excitations in finite fermion systems starting from…

Atomic and Molecular Clusters · Physics 2008-11-26 M. Brack , P. Winkler , M. V. N. Murthy

Results are presented of detailed numerical calculations for the spin excitation spectra of a two-dimensional electron gas confined in a quantum well of finite width w, at magnetic fields corresponding to the fractional and integral…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Arkadiusz Wojs , John J. Quinn

At filling factor $\nu=1/m$, $m$ odd integer, I present variational ground-state and excited-state wave functions, of two-dimensional electron system with homogeneous ion background, that show the condensation into a liquid-crystal state.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. G. Balev

Using a periodic train of Lorentzian voltage pulses, which generates soliton-like electronic excitations called Levitons, we investigate the charge density backscattered off a quantum point contact in the fractional quantum Hall regime. We…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Flavio Ronetti , Luca Vannucci , Dario Ferraro , Thibaut Jonckheere , Jérôme Rech , Thierry Martin , Maura Sassetti

A field theory of quantum Hall effects is constructed based on the \CB picture. It is tightly related with the microscopic wave-function theory. The characteristic feature is that the field operator describes solely the physical degrees of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Z. F. Ezawa

Collective charge density excitation spectra of both a spatially separated two-component quasi-one dimensional (1D) quantum plasma, as existing in a semiconductor double quantum wire structure, and a 1D homogeneous electron-hole plasma, as…

Strongly Correlated Electrons · Physics 2009-10-31 S. Das Sarma , E. H. Hwang

An interaction of non-uniform plane elastic modes of the waveguide type with monolayer and double-layer quantum Hall systems is considered. It is shown, that unlike the case of the surface acoustic wave propagation, the restriction on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. V. Fil

We study the anisotropic effect of the Coulomb interaction on a 1/3-filling fractional quantum Hall system by using an exact diagonalization method on small systems in torus geometry. For weak anisotropy the system remains to be an…

Strongly Correlated Electrons · Physics 2012-07-18 Hao Wang , Rajesh Narayanan , Xin Wan , Fuchun Zhang

We derive the low-energy theory of semi-quantized quantum Hall states, a recently observed class of gapless bilayer fractional quantum Hall states. Our theory shows these states to feature gapless quasiparticles of fractional charge coupled…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 Oğuz Türker , Tobias Meng

Collective excitations in liquids are important for understanding liquid dynamical and thermodynamic properties. Gapped momentum states (GMS) are a notable feature of liquid dynamics predicted to operate in the transverse sector of…

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