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Related papers: Quasihole condensates in quantum Hall liquids

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We study the influence of quantizing perpendicular magnetic fields on the ground state of a bilayer with electron and hole fluids separated by an opaque tunnel barrier. In the absence of a field, the ground state at low carrier densities is…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Bo Zou , Yongxin Zeng , A. H. MacDonald , Artem Strashko

The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their complete expressions can be found for Hall states with both…

Mesoscale and Nanoscale Physics · Physics 2009-09-22 Andrea Cappelli , Lachezar S. Georgiev , Guillermo R. Zemba

The Z_k-parafermion Hall state is an incompressible fluid of k-electron clusters generalizing the Pfaffian state of paired electrons. Extending our earlier analysis of the Pfaffian, we introduce two ``parent'' abelian Hall states which…

High Energy Physics - Theory · Physics 2009-10-31 Andrea Cappelli , Lachezar S. Georgiev , Ivan T. Todorov

We study the physics of $\nu=1/2$ bosonic fractional quantum Hall droplets confined in a ring-shaped region delimited by two concentric cylindrically symmetric hard-wall potentials. Trial wave functions based on an extension of the Jack…

Quantum Gases · Physics 2018-07-06 Elia Macaluso , Iacopo Carusotto

Through a theoretical coupled wire model, we construct strongly correlated electronic \emph{integer} quantum Hall states. As a distinguishing feature, these states support electric and thermal Hall transport violating the Wiedemann-Franz…

Strongly Correlated Electrons · Physics 2019-08-14 Pedro L. S. Lopes , V. L. Quito , Bo Han , Jeffrey C. Y. Teo

Based on Haldane's spherical geometrical formalism of two-dimensional quantum Hall fluids, the relation between the noncommutative geometry of $S^2$ and the two-dimensional quantum Hall fluids is exhibited. If the number of particles $N$ is…

High Energy Physics - Theory · Physics 2007-05-23 Yi-Xin Chen , Mark D. Gould , Yao-Zhong Zhang

The fractional quantum Hall effect is the paradigmatic example of topologically ordered phases. One of its most fascinating aspects is the large variety of different topological orders that may be realized, in particular nonabelian ones.…

Strongly Correlated Electrons · Physics 2017-12-13 Yoran Tournois , Maria Hermanns

Laughlin's wave functions, describing the fractional quantum Hall effect at filling factors $\nu=1/(2k+1)$, can be obtained as correlation functions in conformal field theory, and recently this construction was extended to Jain's composite…

Mesoscale and Nanoscale Physics · Physics 2008-12-22 E. J. Bergholtz , T. H. Hansson , M. Hermanns , A. Karlhede , S. Viefers

We study non-Abelian fractional quantum Hall state in double layer systems at total filling factor $1/2$. Recent progresses in two-dimensional van der Waals materials made it possible to explore the regime with very small interlayer…

Strongly Correlated Electrons · Physics 2025-02-24 Xiang-Jian Hou , Lei Wang , Ying-Hai Wu

We extend the construction of the effective conformal field theory for the Jain hierarchical fillings proposed in cond-mat/9912287 to the description of a quantum Hall fluid at non standard fillings nu=m/(pm+2). The chiral primary fields…

Condensed Matter · Physics 2009-10-31 G. Cristofano , G. Maiella , V. Marotta

Theory predicts that quasiparticle tunneling between the counter-propagating edges in a fractional quantum Hall state can be used to measure the effective quasiparticle charge e* and dimensionless interaction parameter g, and thereby…

Mesoscale and Nanoscale Physics · Physics 2008-05-18 Iuliana P. Radu , J. B. Miller , C. M. Marcus , M. A. Kastner , L. N. Pfeiffer , K. W. West

The energy spectra and wavefunctions of up to 14 interacting quasielectrons (QE's) in the Laughlin nu=1/3 fractional quantum Hall (FQH) state are investigated using exact numerical diagonalization. It is shown that at sufficiently high…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arkadiusz Wojs , Kyung-Soo Yi , John J. Quinn

A low-energy neutral quasiparticle in a fractional quantum Hall system appears in the latter's energy spectrum on a sphere as a series of many-body excited states labeled by the angular momentum $L$ and whose energy is a smooth function of…

Strongly Correlated Electrons · Physics 2025-11-19 Dung Xuan Nguyen , Dam Thanh Son

We investigate the issue of whether quasiparticles in the fractional quantum Hall effect possess a fractional intrinsic spin. The presence of such a spin $S$ is suggested by the spin-statistics relation $S=\theta/2\pi$, with $\theta$ being…

Condensed Matter · Physics 2009-10-22 T. Einarsson , S. L. Sondhi , S. M. Girvin , D. P. Arovas

The quantum Hall bilayer (QHB) at filling factor $ \nu = 1 $ represents a competition between Bose-Einstein condensation (BEC) at small distances between layers and fermionic condensation, whose influence grows with distance and results in…

Strongly Correlated Electrons · Physics 2023-10-20 Sonja Predin , Milica V. Milovanović

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

The B phase of superfluid 3He can be cooled into the pure superfluid regime, where the thermal quasiparticle density is negligible. The bulk superfluid is surrounded by a quantum well at the boundaries of the container, confining a sea of…

This work concerns Ising quasiholes in Moore-Read type lattice wave functions derived from conformal field theory. We commence with constructing Moore-Read type lattice states and then add quasiholes to them. By use of Metropolis Monte…

Strongly Correlated Electrons · Physics 2020-12-15 Sourav Manna , Julia Wildeboer , Germán Sierra , Anne E. B. Nielsen

The quasihole states of several paired states, the Pfaffian, Haldane-Rezayi, and 331 states, which under certain conditions may describe electrons at filling factor $\nu=1/2$ or 5/2, are studied, analytically and numerically, in the…

Condensed Matter · Physics 2009-10-28 N. Read , E. Rezayi

We use exact numerical diagonalization in the search of fractional quantum Hall states with non-Abelian quasiparticle statistics. For the (most promising) states in a partially filled second Landau level, the search is narrowed to the range…

Strongly Correlated Electrons · Physics 2015-05-14 Arkadiusz Wojs