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相关论文: Charge and Statistics of Quasiparticles in Fractio…

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We have considered here the statistics parameter for quasiparticles in FQH states from an analysis of these states in the framework of chiral anomaly and Berry phase. It is shown that we have a generalized relation such that the statistical…

介观与纳米尺度物理 · 物理学 2007-05-23 B. Basu , P. Bandyopadhay

We present Monte Carlo studies of charge expectation values and charge fluctuations for quasi-particles in the quantum Hall system. We have studied the Laughlin wave functions for quasi-hole and quasi-electron, and also Jain's definition of…

介观与纳米尺度物理 · 物理学 2009-10-31 H. Kjønsberg , J. M. Leinaas

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…

强关联电子 · 物理学 2012-04-03 Yuanpei Lan , Shaolong Wan

We present numerical calculations of the charge and statistics, as extracted from Berry phases, of the Laughlin quasi-particles, near filling fraction 1/3, and for system sizes of up to 200 electrons. For the quasi-holes our results confirm…

介观与纳米尺度物理 · 物理学 2009-10-31 Heidi Kjonsberg , Jan Myrheim

The charge of fractionally charged quasiparticles, proposed by Laughlin to explain the fractional quantum Hall effect (FQHE), was recently verified by measurements. Charge q=e/3 and e/5 (e is the electron charge), at filling factors nu=1/3…

介观与纳米尺度物理 · 物理学 2009-11-10 Y. C. Chung , M. Heiblum , V. Umansky

The charge of quasiparticles in Pfaffian states of composite fermion excitations (the presence of which is indicated by recent experiments) is found. At the filling fraction of the Pfaffian state $\nu=p/q$ (of the lowest Landau level) the…

介观与纳米尺度物理 · 物理学 2009-11-10 Piotr Sitko

A microscopic confirmation of the fractional statistics of the {\em quasiparticles} in the fractional quantum Hall effect has so far been lacking. We calculate the statistics of the composite-fermion quasiparticles at $\nu=1/3$ and…

介观与纳米尺度物理 · 物理学 2018-09-25 Gun Sang Jeon , Kenneth L. Graham , Jainendra K. Jain

Quasiparticles with fractional charge and fractional statistics are key features of the fractional quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics and the ways in which these properties may be…

介观与纳米尺度物理 · 物理学 2021-06-24 D. E. Feldman , Bertrand I. Halperin

The quasiparticles (QPs) or quasiholes (QHs) of fractional quantum Hall states have been predicted to obey fractional braid statistics, which refers to the Berry phase (in addition to the usual Aharonov-Bohm phase) associated with an…

强关联电子 · 物理学 2024-12-17 Mytraya Gattu , G. J. Sreejith , J. K. Jain

Fractional quantum Hall (FQH) fluids host quasiparticle excitations that carry a fraction of the electronic charge. Moreover, in contrast to bosons and fermions that carry exchange statistics of $0$ and $\pi$ respectively, these…

强关联电子 · 物理学 2025-10-30 Koyena Bose , Ajit C. Balram

Charge excitations in a two dimensional electron gas, under a quantizing magnetic field and in the fractional quantum Hall effect regime, flow in one dimensional-like strips along the edges of the sample. These excitations (quasiparticles)…

介观与纳米尺度物理 · 物理学 2009-12-25 Moty Heiblum

The charge of quasiparticles in a fractional quantum Hall (FQH) liquid, tunneling through a partly reflecting constriction with transmission t, was determined via shot noise measurements. In the nu=1/3 FQH state, a charge smoothly evolving…

介观与纳米尺度物理 · 物理学 2009-10-31 T. G. Griffiths , E. Comforti , M. Heiblum , Ady Stern , V. Umansky

The quantum Hall superfluid is presently the only viable candidate for a realization of quasiparticles with fractional Berry phase statistics. For a simple vortex excitation, relevant for a subset of fractional Hall states considered by…

介观与纳米尺度物理 · 物理学 2007-05-23 Gun Sang Jeon , Kenneth L. Graham , Jainendra K. Jain

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…

介观与纳米尺度物理 · 物理学 2013-05-29 T. H. Hansson , M. Hermanns , N. Regnault , S. Viefers

We construct model wavefunctions for a family of single-quasielectron states supported by the $\nu=1/3$ fractional quantum Hall (FQH) fluid. The charge $e^*$ = $e/3$ quasielectron state is identified as a composite of a charge-$2e^*$…

强关联电子 · 物理学 2015-06-17 Bo Yang , F. D. M. Haldane

Some models of the 5/2 fractional quantum Hall state predict that the quasi-particles, which carry the charge, have non-Abelian statistics: exchange of two quasi-particles changes the wave function more dramatically than just the usual…

介观与纳米尺度物理 · 物理学 2012-06-26 X. Lin , C. Dillard , M. A. Kastner , L. N. Pfeiffer , K. W. West

Fractional quantum Hall quasiparticles are generally characterized by two quantum numbers: electric charge $Q$ and scaling dimension $\Delta$. For the simplest states (such as the Laughlin series) the scaling dimension determines the…

介观与纳米尺度物理 · 物理学 2022-05-03 Noam Schiller , Yuval Oreg , Kyrylo Snizhko

A Quantum Antidot electrometer has been used in the first direct observation of the fractionally quantized electric charge. In this paper we report experiments performed on the integer i = 1, 2 and fractional f = 1/3 quantum Hall plateaus…

介观与纳米尺度物理 · 物理学 2007-05-23 V. J. Goldman , I. Karakurt , Jun Liu , A. Zaslavsky

A central long standing prediction of the theory of fractional quantum Hall (FQH) states that it is a topological fluid whose elementary excitations are vortices with fractional charge and fractional statistics. Yet, the unambiguous…

介观与纳米尺度物理 · 物理学 2007-05-23 Eun-Ah Kim , Michael J. Lawler , Smitha Vishveshwara , Eduardo Fradkin

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…

介观与纳米尺度物理 · 物理学 2009-10-31 R. A. J. van Elburg , K. Schoutens
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