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We present explicit wavefunctions for quasi-hole excitations over a variety of non-abelian quantum Hall states: the Read-Rezayi states with k\geq 3 clustering properties and a paired spin-singlet quantum Hall state. Quasi-holes over these…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Eddy Ardonne , Kareljan Schoutens

We present an extension of a framework for simulating single quasiparticle or collective excitations on top of strongly correlated quantum many-body ground states using infinite projected entangled pair states, a tensor network ansatz for…

Strongly Correlated Electrons · Physics 2020-05-07 Boris Ponsioen , Philippe Corboz

We discuss exclusion statistics parameters for quasiholes and quasielectrons excited above the fractional quantum Hall states near $\nu=p/(2np+1)$. We derive the diagonal statistics parameters from the (``unprojected'') composite fermion…

Condensed Matter · Physics 2009-10-28 S. B. Isakov , G. S. Canright , M. D. Johnson

Plasmons are fundamental excitations of metals which can be described in terms of electron dynamics, or in terms of the electromagnetic fields associated with them. In this work we develop a quantum description of plasmons in a double layer…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Luis Brey , H. A. Fertig

The low energy physics of interacting quantum systems is typically understood through the identification of the relevant quasiparticles or low energy excitations and their quantum numbers. We present a quantum information framework that…

Strongly Correlated Electrons · Physics 2020-07-10 Yizhi You , Elisabeth Wybo , Frank Pollmann , S. L. Sondhi

It is shown that the dynamics of a single hole in a quantum antiferromagnet (described by the t--J model) can be simply understood in terms of a composite quasiparticle. This description provides naturally two different energy scales t and…

Condensed Matter · Physics 2009-10-28 P. Beran , D. Poilblanc , R. B. Laughlin

The braid group dynamics captures the fractional quantum Hall effect (FQHE) as a manifestation of puncture phase. When the dynamics is generalized for particles on a multi-sheeted surface, we obtain new tools which determine the fractional…

Condensed Matter · Physics 2007-05-23 C. Ting

In this paper, we consider there exist two types of fundamental quasihole excitation in the fractional quantum spin Hall state and investigate their topological properties by both Chern-Simons field theory and Berry phase technique. By the…

Strongly Correlated Electrons · Physics 2012-04-03 Yuanpei Lan , Shaolong Wan

The time evolution of the entanglement entropy is a key concept to understand the structure of a non-equilibrium quantum state. In a large class of models, such evolution can be understood in terms of a semiclassical picture of moving…

Statistical Mechanics · Physics 2021-01-13 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

We construct model wavefunctions for the collective modes of fractional quantum Hall systems. The wavefunctions are expressed in terms of symmetric polynomials characterized by a root partition and a "squeezed" basis, and show excellent…

Strongly Correlated Electrons · Physics 2013-05-30 Bo Yang , Zi-Xiang Hu , Z. Papic , F. D. M. Haldane

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

We perform an exact-diagonalization study of quasihole excitations for the two-component Halperin $(221)$ state in the lowest Landau level and for several $\nu=1/3$ bosonic fractional Chern insulators in topological flat bands with Chern…

Strongly Correlated Electrons · Physics 2019-01-25 Błażej Jaworowski , Nicolas Regnault , Zhao Liu

Intermediate-scale quantum technologies provide new opportunities for scientific discovery, yet they also pose the challenge of identifying suitable problems that can take advantage of such devices in spite of their present-day limitations.…

This paper reviews progress on the Fractional Quantum Hall Effect (FQHE) based on what we term hamiltonian theories, i.e., theories that proceed from the microscopic electronic hamiltonian to the final solution via a sequence of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ganpathy Murthy , R. Shankar

In a twisted graphene on hexagonal Boron Nitride, the presence of a gap and the breaking of the symmetry between carbon sublattices leads to multicomponent fractional quantum Hall effect (FQHE) due to the electrons correlation. We report on…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 J. Salvador-Sánchez , A. Pérez-Rodriguez , V. Clericò , O. Zheliuk , U. Zeitler , K. Watanabe , T. Taniguchi , E. Diez , M. Amado , V. Bellani

We argue that recently reported high resolution angle-resolved photoelectron spectra from cuprates, where an anomalous high-energy dispersion was identified, reveal the internal structure of the hole quasiparticle in quantum…

Strongly Correlated Electrons · Physics 2007-05-23 Efstratios Manousakis

We characterize entanglement subject to its definition over real and complex, composite quantum systems. In particular, a method is established to assess quantum correlations with respect to a selected number system, illuminating the deeply…

We show that a large class of bosonic spin-singlet Fractional Quantum Hall model wave-functions and their quasi-hole excitations can be written in terms of Jack polynomials with a prescribed symmetry. Our approach describes new spin-singlet…

Strongly Correlated Electrons · Physics 2015-05-28 Benoit Estienne , Bogdan A. Bernevig

The quasiparticles in Quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could in principle be used for…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 T. H. Hansson , M. Hermanns , N. Regnault , S. Viefers

We introduce the concept of entanglement halos, a set of strongly entangled distant sites within the ground state of a quantum many-body system. Such halos emerge in star-like systems with exponentially decaying couplings, as we show using…

Strongly Correlated Electrons · Physics 2026-02-03 Nadir Samos Sáenz de Buruaga , Silvia N. Santalla , Germán Sierra , Javier Rodríguez-Laguna