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In this paper we propose a new assignment for mutual exclusion statistics between quasielectrons and quasiholes in the fractional quantum Hall effect. In addition to providing numerical evidence for this assignment, we show that the…

Condensed Matter · Physics 2009-10-28 Wu-Pei Su , Yong-Shi Wu , Jian Yang

We have studied here the charge and statistics of quasiparticle excitations in FQH states on the basis of the Berry phase approach incorporating the fact that even number of flux quanta can be gauged away when the Berry phase is removed to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Basu , P. Bandyopadhyay , S. Dhar

We consider quantum spin Hall effect in an anisotropic strip of stripes and address both integer and fractional filling factors. The first model is based on a gradient of spin-orbit interaction in the direction perpendicular to the stripes.…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Jelena Klinovaja , Yaroslav Tserkovnyak

Effects of electron correlations on a two dimensional quantum spin Hall (QSH) system are studied. We examine possible phases of a generalized Hubbard model on a bilayer honeycomb lattice with a spin-orbit coupling and short range…

Strongly Correlated Electrons · Physics 2008-09-15 Michael W. Young , Sung-Sik Lee , Catherine Kallin

We propose fractional spin hall effect (FSHE) by coupling pseudospin states of cold bosonic atoms to optical fields. The present scheme is an extension to interacting bosonic system of the recent work \cite{liu,zhu} on optically induced…

Mesoscale and Nanoscale Physics · Physics 2009-04-03 Xiong-Jun Liu , Xin Liu , L. C. Kwek , C. H. Oh

From an experimental point of view, quasielectrons and quasiholes play very similar roles in the fractional quantum Hall effect. Nevertheless, the theoretical description of quasielectrons is known to be much harder than the one of…

Strongly Correlated Electrons · Physics 2018-04-20 Anne E. B. Nielsen , Ivan Glasser , Ivan D. Rodriguez

We consider the issue of the appropriate underlying wavefunction describing the enigmatic 5/2 fractional quantum Hall effect (FQHE), the only even denominator FQHE unambiguously observed in a single layer two dimensional (2D) electron…

Mesoscale and Nanoscale Physics · Physics 2014-11-21 S. Das Sarma , G. Gervais , Xiaoqing Zhou

The scattering of exotic quasiparticles may follow different rules than electrons. In the fractional quantum Hall regime, a quantum point contact (QPC) provides a source of quasiparticles with field effect selectable charges and statistics,…

Mesoscale and Nanoscale Physics · Physics 2024-07-26 P. Glidic , O. Maillet , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , A. Anthore , F. Pierre

We address two fundamental issues in the physics of the quantum Hall effect: a unified description of scaling behavior of conductances in the integral and fractional regimes, and a quasi-particle formulation of the chiral Luttinger Liquids…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. M. M. Pruisken , K. Schoutens

We study the quantum anomalous Hall effect in a strip of stripes model coupled to a magnetic texture with zero total magnetization and in the presence of strong electron-electron interactions. A helical magnetization along the stripes and a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Jelena Klinovaja , Yaroslav Tserkovnyak , Daniel Loss

It is well known that the Fractional Quantum Hall Effect (FQHE) may be effectively represented by a Chern-Simons theory. In order to incorporate QH Skyrmions, we couple this theory to the topological spin current, and include the Hopf term.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Baez , A. P. Balachandran , A. Stern , A. Travesset

We formulate the Kohn-Sham equations for the fractional quantum Hall effect by mapping the original electron problem into an auxiliary problem of composite fermions that experience a density dependent effective magnetic field.…

Strongly Correlated Electrons · Physics 2019-10-30 Yayun Hu , J. K. Jain

Fractionalization of quantum degrees of freedom holds the key to finding new phenomena in physics, e.g., the quark model in hadron physics, the spin-charge separation in strongly-correlated electron systems, and the fractional quantum Hall…

Strongly Correlated Electrons · Physics 2023-10-18 Takanori Sugimoto , Takami Tohyama

The quantum spin Hall (QSH) state is a topologically non-trivial state of quantum matter which preserves time-reversal symmetry; it has an energy gap in the bulk, but topologically robust gapless states at the edge. Recently, this novel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chaoxing Liu , Taylor L. Hughes , Xiao-Liang Qi , Kang Wang , Shou-Cheng Zhang

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

It is shown, that the requirement of invariance under spatial rotations reveales an intrinsic fractional extended translation-rotation-like property for particles described with the fractional Schroedinger equation, which we call fractional…

General Physics · Physics 2008-05-23 Richard Herrmann

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

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

Highly correlated states of electrons are thought to produce quasiparticles with very unusual properties. Here we consider how these properties are manifested in space-time propagation. Specifically, we discuss how spin-charge separation is…

Condensed Matter · Physics 2016-08-31 Richard Levien , Chetan Nayak , Frank Wilczek

We have calculated the fractional charge of quasiparticles in a cluster of electrons. The 61 values have been calculated which are exactly the same as the measured values. In a previous eprint we have calculated 85 values which are the same…

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