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We show that cotunneling in the 5/2 fractional quantum Hall regime allows us to test the Moore-Read wave function, proposed for this regime, and to probe the nature of the fractional charge carriers. We calculate the cotunneling current for…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Robert Zielke , Bernd Braunecker , Daniel Loss

The second-quantized form of the Laughlin states for the fractional quantum Hall effect is discussed by decomposing the Laughlin wavefunctions into the $N$-particle Slater basis. A general formula is given for the expansion coefficients in…

Condensed Matter · Physics 2015-06-25 G. Dunne

By carefully considering a family of wave functions for Skyrmions in simple quantum Hall states, whose members are labelled by a non-negative integer and which properly generalizes the traditional Laughlin quasiparticle, we argue that the…

Condensed Matter · Physics 2007-05-23 Chetan Nayak , Frank Wilczek

We have examined the experiments performed by Goldman and Su, de-Picciotto et al, Samanadayar et al and Conforti et al in which it is claimed that a fractional charge of e/3 is found. In all of the measurements, the quantity measured is the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We propose a quasi-particle formulation of effective edge theories for the fractional quantum Hall effect. For the edge of a Laughlin state with filling fraction \nu=1/m, our fundamental quasi-particles are edge electrons of charge -e and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. A. J. van Elburg , K. Schoutens

We study bosonic and fermionic quantum two-leg ladders with orbital magnetic flux. In such systems, the ratio, $\nu$, of particle density to magnetic flux shapes the phase-space, as in quantum Hall effects. In fermionic (bosonic) ladders,…

Quantum Gases · Physics 2015-10-08 Eyal Cornfeld , Eran Sela

Enhancement of the electron spin polarization in a correlated two-layer two-dimensional electron system at a total Landau level filling factor of one is reported. Using resistively detected nuclear magnetic resonance, we demonstrate that…

Strongly Correlated Electrons · Physics 2015-04-30 L. Tiemann , W. Wegscheider , M. Hauser

In this letter, we discuss the recently proposed fractional quantum Hall effect in the absence of Landau levels. It is shown that the parton construction can explain all properties of 1/3 state, including the effective charge of…

Strongly Correlated Electrons · Physics 2011-05-03 Abolhassan Vaezi

The energy and photoluminescence spectra of a two-dimensional electron gas in the fractional quantum Hall regime are studied. The single-particle properties of reversed-spin quasielectrons (QE$_{\rm R}$'s) as well as the pseudopotentials of…

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

In this work, we investigate the spatial distributions and the widths of the incompressible strips, i.e. the edgestates. The incompressible strips that correspond to \nu=1,2 and 1/3 filling factors are examined in the presence of a strong…

Mesoscale and Nanoscale Physics · Physics 2012-02-29 A. Salman , E. Koymen , M. B. Yucel , H. Atci , U. Erkarslan , A. Siddiki

We argue that a correlated fluid of electrons and holes can exhibit a fractional quantum Hall effect at zero magnetic field analogous to the Laughlin state at filling $1/m$. We introduce a variant of the Laughlin wavefunction for electrons…

Strongly Correlated Electrons · Physics 2018-09-19 Yichen Hu , Jörn W. F. Venderbos , C. L. Kane

Single-component fractional quantum Hall states (FQHSs) at even-denominator filling factors may host non-Abelian quasiparticles that are considered to be building blocks of topological quantum computers. Such states, however, are rarely…

Mesoscale and Nanoscale Physics · Physics 2024-01-01 Chengyu Wang , A. Gupta , S. K. Singh , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. Baldwin , R. Winkler , M. Shayegan

We derive the condition for the occurrence of the integer quantum Hall effect in two-dimensional lattice systems with interactions, expressed as $\phi\nu-\rho\in\mathbb{Z}$, where $\phi$, $\nu$, and $\rho$ denote the magnetic flux, the…

Strongly Correlated Electrons · Physics 2026-01-23 Masaaki Nakamura , Masanori Yamanaka

We discuss the Berry curvature calculations of the Hall viscosity for the unprojected to the lowest Landau level wave function of the Fermi-liquid-like state. We conclude, within assumptions made, that in the linear response, with small…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. V. Milovanović

A microscopic theory of current partition in fractional quantum Hall liquids, described by chiral Luttinger liquids, is developed to compute the noise correlations, using the Keldysh technique. In this Hanbury-Brown and Twiss geometry, at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. Safi , P. Devillard , T. Martin

We develop a theory of the half-filled Landau level which shows that it is a two-component fluid. One of the components has spin up and the other spin down so that the electron-spin resonance can occur. The 1/3 filled level is fully spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

The edge states in the fractional quantum Hall systems at filling factor $\nu=1/3$ are studied by the density matrix renormalization group method. It is shown that the density oscillation induced by the local boundary condition at the edge…

Strongly Correlated Electrons · Physics 2021-03-30 Takuya Ito , Naokazu Shibata

We study the quantum Hall effect in a two-dimensional homogeneous electron gas coupled to a quantum cavity field. As initially pointed out by Kohn, Galilean invariance for a homogeneous quantum Hall system implies that the electronic center…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Vasil Rokaj , Jie Wang , John Sous , Markus Penz , Michael Ruggenthaler , Angel Rubio

A Landau model is used to study the phase behavior of the surface layer for magnetic and cholesteric liquid crystal systems that are at or near a Lifshitz point marking the boundary between modulated and homogeneous bulk phases. The model…

Condensed Matter · Physics 2009-10-31 A. E. Jacobs , D. Mukamel , D. W. Allender

In this paper we consider an abelian Chern-Simons theory with plane boundary and we show, following Symankiz's quite general approach, how the known results for edge states in the Laughlin series can be derived in a systematic way by the…

High Energy Physics - Theory · Physics 2008-12-19 Alberto Blasi , Dario Ferraro , Nicola Maggiore , Nicodemo Magnoli , Maura Sassetti