Spectral noise for edge states at the filling factor<i>ν</i>= 5/2

Carrega, Matteo; Ferraro, Dario; Braggio, Alessandro; Magnoli, Nicodemo; Sassetti, Maura

doi:10.1088/1367-2630/14/2/023017

Cited by 27 publications

(34 citation statements)

References 53 publications

(110 reference statements)

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“…From the scaling dimensions of the generic qp, one can identify the dominant excitation in the low energy limit, i.e. the one with the minimal scaling dimension [27,35]. For the two models, we find…”

Section: Pfaffian and Anti-pfaffian Statementioning

confidence: 92%

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Quasiparticle agglomerates and environmental effects in the fractional quantum Hall edge states at ν = 5/2

Braggio

Carrega

Ferraro

et al. 2013

AIP Conference Proceedings

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Two groups measure the quasiparticle charge of the 5 / 2 fractional quantum Hall state Abstract. We discuss how the presence of environmental effects and quasiparticle agglomerates could better reconcile the edge states theories with the experimental observations for the case of ν = 5/2. The Pfaffian and the anti-Pfaffian models will be compared in connection with experimental results identifying the latter as the best candidate.

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Section: Pfaffian and Anti-pfaffian Statementioning

confidence: 92%

“…with δ I = 0, δ ψ = 1 and δ σ = 1/8 the conformal weights of the field in the Ising sector [35]. We have also assumed the presence of renormalization parameters g c , g n ≥ 1 for the bosonic modes only.…”

Section: Pfaffian and Anti-pfaffian Statementioning

confidence: 99%

Quasiparticle agglomerates and environmental effects in the fractional quantum Hall edge states at ν = 5/2

Braggio

Carrega

Ferraro

et al. 2013

AIP Conference Proceedings

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“…A possible way to overcome this limitation is to look at the finite frequency (FF) properties [22]. In particular, for quantum Hall QPC transport, the FF noise is predicted to show resonances in correspondence of Josephson frequencies, which are proportional to the fractional charges [23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Multiple quasiparticle Hall spectroscopy investigated with a resonant detector

et al. 2014

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We investigate the finite frequency (FF) noise properties of edge states in the quantum Hall regime. We consider the measurement scheme of a resonant detector coupled to a quantum point contact in the weak-backscattering limit. A detailed analysis of the difference between the 'measured' noise, due to the presence of the resonant detector, and the symmetrized FF noise is presented. We discuss both the Laughlin and Jain sequences, studying the tunnelling excitations in these hierarchical models. We argue that the measured noise can better distinguish between the different excitations in the tunnelling process with respect to the symmetrized FF counterpart in an experimentally relevant range of parameters. Finally, we illustrate the effect of the detector temperature on the sensibility of this measure.

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“…In recent years much interest was devoted to more exotic states, such as [8] ν = 5/2, where different models were proposed, with excitations supporting both Abelian [9][10][11] or non-Abelian [12][13][14][15][16][17] statistics. To date, different experimental observations [18][19][20][21] have suggested that the non-Abelian anti-Pfaffian model is a proper candidate for ν = 5/2 even though the debate is still very open [22,23]. In the effective field theories the peculiar non-Abelian properties are encoded in an additional conformal field, which belongs to the Ising sector [24].…”

Section: Introductionmentioning

confidence: 99%

Environmental induced renormalization effects in quantum Hall edge states due to 1/fnoise and dissipation

et al. 2012

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We propose a general mechanism for the renormalization of the tunnelling exponents in edge states of the fractional quantum Hall effect. Mutual effects of the coupling with out-of-equilibrium 1/ f noise and dissipation are considered for both the Laughlin sequence and the composite co-and counter-propagating edge states with Abelian or non-Abelian statistics. For states with counter-propagating modes, we demonstrate the robustness of the proposed mechanism in the so-called disorder-dominated phase. Prototypes of these states, such as ν = 2/3 and ν = 5/2, are discussed in detail, and the rich phenomenology induced by the presence of a noisy environment is presented. The proposed mechanism could help justify the strong renormalizations reported in many experimental observations carried out at low temperatures. We show how environmental effects could affect the relevance of the tunnelling excitations, leading to important implications, in particular for the ν = 5/2 case. bias. However, with decreasing the temperature, the observed peak turns into a completely unexpected dip.Anomalous current/voltage characteristics have been measured also for other filling factors such as ν = 2/5 in the Jain sequence [28]. Furthermore, renormalizations of the χLL exponents are sometimes crucial to fully explain the measured crossover of the tunnelling charges at low temperatures [28][29][30][31][32][33][34][35].Possible explanations for these disagreements have been traced back to the inhomogeneity of the filling factor below the QPC due to the action of the electrostatic gates [27,36] or to an energy-dependent tunnelling amplitude caused by the extended nature of the contact [37,38]. Alternatively, various mechanisms leading to the renormalization of the Luttinger parameters through coupling with external environments have been proposed. They range from the coupling with 1D phonons [39,40], edge reconstruction induced by the smoothness of the confinement potential [41], possible Coulomb interaction between the different edges [42,43], to interactions with a compressible component of a composite fermion liquid with very small longitudinal conductivity [44,45] or to the coupling with electromagnetic environments [46][47][48][49].Many of these approaches have focused on the Laughlin case and cannot be easily extended to composite edge states where anomalous behaviours are usually observed. In particular, many of the above mechanisms are not robust against the disorder-induced intra-edge electron tunnelling, an unavoidable effect in real samples responsible for the equilibration of the different channels. This is a crucial ingredient in explaining the universal quantization of the conductance in the presence of counter-propagating modes [7, 15-17, 23, 50].Recently, Dalla Torre et al [51,52] observed that the interplay between the 1/ f noise generated by the external environment and the dissipation induced by the cooling setup could lead to a renormalization of the Luttinger parameter for 1D systems of cold atoms.In this paper, we will ...

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Spectral noise for edge states at the filling factorν= 5/2

Cited by 27 publications

References 53 publications

Quasiparticle agglomerates and environmental effects in the fractional quantum Hall edge states at ν = 5/2

Quasiparticle agglomerates and environmental effects in the fractional quantum Hall edge states at ν = 5/2

Multiple quasiparticle Hall spectroscopy investigated with a resonant detector

Environmental induced renormalization effects in quantum Hall edge states due to 1/fnoise and dissipation

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