75 YEARS OF <i>HELVETICA CHIMICA ACTA</i>

Heilbronner, E.; Kisakürek, M. Volkan

doi:10.1002/hlca.19920750102

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…The resistance to decoherence arises from the fact that the information is encoded in a many body state rather than a single electron state. Although wavefunctions with non-abelian excitations are the prime candidates (13) to describe the state at ν = 5/2, alternatives with abelian properties have also been proposed (14,15,16). All candidate wavefunctions for ν = 5/2 have quasiparticle effective charge e * = 1/4, but they differ in the predicted values of g (17,18,19,8,9).…”

mentioning

confidence: 99%

“…All of the candidate states predict e * = 1/4, but g can differ. States with abelian quasiparticle statistics include the so-called 331 state (14,15), which has a predicted g = 3/8 (17), and the K = 8 state with g = 1/8 (16). States with non-abelian quasiparticle statistics include the Pfaffian (6) with g = 1/4 (17), its particle-hole conjugate the anti-Pfaffian (8,9) with g = 1/2 (8,9,18), and the U(1)×SU 2 (2) state ( 7), also with g = 1/2.…”

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confidence: 99%

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Quasi-Particle Properties from Tunneling in the v = 5/2 Fractional Quantum Hall State

Radu

Miller

Marcus

et al. 2008

Science

328

398

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Quasi-particles with fractional charge and statistics, as well as modified Coulomb interactions, exist in a two-dimensional electron system in the fractional quantum Hall (FQH) regime. Theoretical models of the FQH state at filling fraction v = 5/2 make the further prediction that the wave function can encode the interchange of two quasi-particles, making this state relevant for topological quantum computing. We show that bias-dependent tunneling across a narrow constriction at v = 5/2 exhibits temperature scaling and, from fits to the theoretical scaling form, extract values for the effective charge and the interaction parameter of the quasi-particles. Ranges of values obtained are consistent with those predicted by certain models of the 5/2 state.

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confidence: 99%

mentioning

confidence: 99%

Quasi-Particle Properties from Tunneling in the v = 5/2 Fractional Quantum Hall State

Radu

Miller

Marcus

et al. 2008

Science

328

398

View full text Add to dashboard Cite

show abstract

“…It is natural to imagine that experimental realization of a QCP with fractionalization in quantum Hall systems is easier, though such a possibility has not been well explored except on plateau transitions [2]. Here we consider the quantum Hall bilayer system with the electron gases in two layer separated by an insulating barrier, giving rise to two separate Landau levels coupled together through the Coulomb repulsion [13][14][15][16]. The fillings in the two layers ν 1 , ν 2 can be controlled separately.…”

Section: Introductionmentioning

confidence: 99%

XY* transition and extraordinary boundary criticality from fractional exciton condensation in quantum Hall bilayer

Zhang¹,

Zhu²,

Vishwanath³

2023

Preprint

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XY* transitions represent one of the simplest examples of unconventional quantum criticality, in which fractionally charged excitations condense into a superfluid, and display novel features that combine quantum criticality and fractionalization. Nevertheless their experimental realization is challenging. Here we propose to study the XY* transition in quantum Hall bilayers at filling (ν1, ν2) = ( 13 , 2 3 ) where the exciton condensate (EC) phase plays the role of the superfluid. Supported by exact diagonalization calculation, we argue that there is a continuous transition between an EC phase at small bilayer separation to a pair of decoupled fractional quantum Hall states, at large separation. The transition is driven by condensation of a fractional exciton, a bound state of Laughlin quasiparticle and quasihole, and is in the XY* universality class. The fractionalization is manifested by unusual properties including a large anomalous exponent and fractional universal conductivity, which can be conveniently measured through inter-layer tunneling and counter-flow transport, respectively. We also show that the edge is likely to realize the newly predicted extraordinary boundary criticality. Our work highlights the promise of quantum Hall bilayers as an ideal platform for exploring exotic bulk and boundary critical behaviors, that are amenable to immediate experimental exploration in dual-gated bilayer systems. 3Laughlin state [41], while the bottom layer is in the ν = − 1 3 (or ν = 2 3 ) Laughlin state. This large d/l B phase can be viewed as a fractional quantum spin Hall

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Struktur und Mechanismus in der organischen Chemie im Spiegel vonHelvetica Chimica Acta

Heimgartner

Hansen

1992

Helvetica Chimica Acta

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75 YEARS OF HELVETICA CHIMICA ACTA

Cited by 5 publications

References 16 publications

Quasi-Particle Properties from Tunneling in the v = 5/2 Fractional Quantum Hall State

Quasi-Particle Properties from Tunneling in the v = 5/2 Fractional Quantum Hall State

XY* transition and extraordinary boundary criticality from fractional exciton condensation in quantum Hall bilayer

Struktur und Mechanismus in der organischen Chemie im Spiegel vonHelvetica Chimica Acta

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