Multiple Scattering of Fractionally Charged Quasiparticles

Comforti, E.; Chung, Yunchul; Heiblum, Moty; Umansky, And V.

doi:10.1103/physrevlett.89.066803

Cited by 19 publications

(14 citation statements)

References 12 publications

(11 reference statements)

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“…Also, since the experiment 1 indicates complete spin polarization of the novel FQH states, here we have not studied unpolarized systems, considered in great detail in a number of earlier studies begun with the work of Park and Jain. 36 Finally, the connection between the QE pairing studied here and recent shot-noise experiments 37 indicating bunching of QP's in Laughlin and Jain FQH states at ultra-low temperatures is not yet clear.…”

Section: Discussionmentioning

confidence: 99%

Fractional quantum Hall states of clustered composite fermions

2004

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The energy spectra and wavefunctions of up to 14 interacting quasielectrons (QE's) in the Laughlin ν = 1 3 fractional quantum Hall (FQH) state are investigated using exact numerical diagonalization. It is shown that at sufficiently high density the QE's form pairs or larger clusters. This behavior, opposite to Laughlin correlations, invalidates the (sometimes invoked) reapplication of the composite fermion picture to the individual QE's. The series of finite-size incompressible ground states are identified at the QE filling factors νQE = 1 2 , 1 3 , 2 3 , corresponding to the electron fillings ν = 3 8 , 4 11 , 5 13 . The equivalent quasihole (QH) states occur at νQH = 1 4 , 1 5 , 2 7 , corresponding to ν = 3 10 , 4 13 , 5 17 . All these six novel FQH states were recently discovered experimentally. Detailed analysis indicates that QE or QH correlations in these states are different from those of well-known FQH electron states (e.g., Laughlin or Moore-Read states), leaving the origin of their incompressibility uncertain. Halperin's idea of Laughlin states of QP pairs is also explored, but is does not seem adequate.

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Section: Discussionmentioning

confidence: 99%

Fractional quantum Hall states of clustered composite fermions

2004

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“…1(a)] composed of the conventional fractional-charge detection part (Edge2, Edge3, QPC2) and an additional edge (Edge1). Anyons are dilutely injected [30][31][32][33] via QPC1 from Edge1, biased by voltage V , to the detection part in equilibrium. We find that the zero-frequency autocorrelation noise S(V, T ) of tunneling current I at QPC2 is reduced below the thermal equilibrium noise S(0, T ) at temperature T , δS = −2e * I < 0 at e * V k B T.…”

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confidence: 99%

Negative Excess Shot Noise by Anyon Braiding

2019

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Anyonic fractional charges e * have been detected by autocorrelation shot noise at a quantum point contact (QPC) between two fractional quantum Hall edges. We find that the autocorrelation noise can also show a fingerprint of Abelian anyonic fractional statistics. We predict the noise of electrical tunneling current I at the QPC of the fractional-charge detection setup, when anyons are dilutely injected, from an additional edge biased by a voltage, to the setup in equilibrium. At large voltages, the nonequilibrium noise is reduced below the thermal equilibrium noise by the value 2e * I. This negative excess noise is opposite to the positive excess noise 2e * I of the conventional fractional-charge detection and also to usual positive autocorrelation noises of electrical currents. This is a signature of the Abelian fractional statistics, resulting from the effective braiding of an anyon thermally excited at the QPC around another anyon injected from the additional edge. arXiv:1907.00532v3 [cond-mat.mes-hall]

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“…13 The main technical obstacle to the description of strong multi-point-contact tunneling between different edges is the fact that the bosonic fields in the tunneling operators of different contacts do not commute with each other and, at first sight, can not be localized simultaneously at the minima of large tunnel potential, as can be done for one point contact. This problem is resolved, however, if the bosonic fields are modified 12 by the proper choice of the statistical phase of the tunneling electrons [see Eqs.…”

Section: Introductionmentioning

confidence: 99%

Strong-coupling branching between edges of fractional quantum Hall liquids

Ponomarenko

Averin

2004

Phys. Rev. B

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We have developed a theory of quasiparticle backscattering in a system of point contacts formed between single-mode edges of several Fractional Quantum Hall Liquids (FQHLs) with in general different filling factors νj and one common single-mode edge ν0 of another FQHL. In the strongtunneling limit, the model of quasiparticle backscattering is obtained by the duality transformation of the electron tunneling model. The new physics introduced by the multi-point-contact geometry of the system is coherent splitting of backscattered quasiparticles at the point contacts in the course of propagation along the common edge ν0. The "branching ratios" characterizing the splitting determine the charge and exchange statistics of the edge quasiparticles that can be different from those of Laughlin's quasiparticles in the bulk of FQHLs. Accounting for the edge statistics is essential for the system of more than one point contact and requires the proper description of the flux attachement to tunneling electrons.

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Multiple Scattering of Fractionally Charged Quasiparticles

Cited by 19 publications

References 12 publications

Fractional quantum Hall states of clustered composite fermions

Fractional quantum Hall states of clustered composite fermions

Negative Excess Shot Noise by Anyon Braiding

Strong-coupling branching between edges of fractional quantum Hall liquids

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