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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

We study the spin of the localised quasiparticle excitations of lowest-Landau-level quantum Hall states defined on a disk. The spin that we propose satisfies the spin-statistics relation and can be used to reconstruct the topological…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Tommaso Comparin , Alvin Opler , Elia Macaluso , Alberto Biella , Alexios P. Polychronakos , Leonardo Mazza

We prove a generic spin-statistics relation for the fractional quasiparticles that appear in abelian quantum Hall states on the disk. The proof is based on an efficient way for computing the Berry phase acquired by a generic quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Alberto Nardin , Eddy Ardonne , Leonardo Mazza

We derive the braid relations of the charged anyons interacting with a magnetic field on Riemann surfaces. The braid relations are used to calculate the quasiparticle's spin in the fractional quantum Hall states on Riemann surfaces. The…

Condensed Matter · Physics 2015-06-25 Dingping Li

We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle. We show that this quantity takes a fractional value…

Strongly Correlated Electrons · Physics 2025-09-08 Alexander Fagerlund , Alberto Nardin , Leonardo Mazza , Eddy Ardonne

The Hall viscosity, a non-dissipative transport coefficient analogous to Hall conductivity, is considered for quantum fluids in gapped or topological phases. The relation to mean orbital spin per particle discovered in previous work by one…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 N. Read , E. H. Rezayi

We write the Mathisson-Papapetrou equations of motion for a spinning particle in a stationary spacetime using the quasi-Maxwell formalism and give an interpretation of the coupling between spin and curvature. The formalism is then used to…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Jose Natario

It has been pointed out by Smet that there are fractional-charge values which do not fit with their formula of composite fermions. We find that our formula predicts these fractional charges very well and in fact there exists a relationship…

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

Quasihole excitations in fractional quantum Hall (FQH) systems exhibit fractional statistics and fractional spin, but how the spin-statistics relation emerges from many-body physics remains poorly understood. Here we prove a spin-statistics…

Mesoscale and Nanoscale Physics · Physics 2023-05-30 Ha Quang Trung , Yuzhu Wang , Bo Yang

Many trial wavefunctions for fractional quantum Hall states in a single Landau level are given by functions called conformal blocks, taken from some conformal field theory. Also, wavefunctions for certain paired states of fermions in two…

Mesoscale and Nanoscale Physics · Physics 2011-09-08 N. Read

We develop a formalism to describe quasihole condensates in quantum Hall liquids and thereby extend the conformal field theory approach to the full hierarchy of spin-polarized Abelian states, and to several classes of non-Abelian…

Strongly Correlated Electrons · Physics 2013-05-29 J. Suorsa , S. Viefers , T. H. Hansson

We survey recent work on designing and evaluating quantum computing implementations based on nuclear or bound-electron spins in semiconductor heterostructures at low temperatures and in high magnetic fields. General overview is followed by…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 Vladimir Privman , Dima Mozyrsky , Israel D. Vagner

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

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 interplay of electronic interactions and frustration in crystalline systems leads to a panoply of correlated phases, including exotic Mott insulators with non-trivial patterns of entanglement. Disorder introduces additional quantum…

Strongly Correlated Electrons · Physics 2025-01-03 Sunghoon Kim , Mohammad Saad , Dan Mao , Adhip Agarwala , Debanjan Chowdhury

Non-adiabatic correction to spin transfer torque arising from fast-varying spin texture is calculated treating conduction electron fully quantum mechanically. The torque is non-local in space, and is shown to equivalent to a force (due to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gen Tatara , Hiroshi Kohno , Junya Shibata , Yann Lemaho , Kyung-Jin Lee

We theoretically consider coherence times for spins in two quantum computer architectures, where the qubit is the spin of an electron bound to a P donor impurity in Si or within a GaAs quantum dot. We show that low temperature decoherence…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Rogerio de Sousa , S. Das Sarma

Numerous physical systems have been proposed for constructing quantum computers, but formidable obstacles stand in the way of making even modest systems with a few hundred quantum bits (qubits). Several approaches utilize the spin of an…

Other Condensed Matter · Physics 2007-05-23 S. A. Lyon

We present a theoretical study of ac charge transport arising from adiabatic temporal variation of zero-field spin splitting in a quasi-onedimensional hole system (realized, e.g., in a quantum wire or point contact). As in…

Mesoscale and Nanoscale Physics · Physics 2011-04-26 T. Kernreiter , M. Governale , A. R. Hamilton , U. Zuelicke

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
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