Shot Noise and Charge at the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:math>Composite Fractional Quantum Hall State

Bid, Aveek; Ofek, Nissim; Heiblum, Moty; Umansky, V.; Mahalu, D.

doi:10.1103/physrevlett.103.236802

Cited by 103 publications

(131 citation statements)

References 26 publications

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“…1a III, the inner three edge channels were expected to renormalize to a single downstream charge mode with conductance 1 On the experimental front, recent observations of upstream neutral modes [6,7,14,15,16] supported the KFP model of the = 2 3 state [5]. However, Bid et al [17], while studying partitioning of the downstream charge channel for = 2 3 in a quantum point contact (QPC), ) with strong noise. Since shot noise results from stochastic partitioning of a noiseless particle stream, the noise-on-plateau, leads to a discrepancy in our present understanding, and thus triggered our present study.…”

Section: Introductionmentioning

confidence: 99%

“…Although the above results conclusively support the formation of two charge modes, thus challenging the broadly accepted KFP picture, they still do not provide an explanation for the 'noise on the plateau' reported first by Bid et al [17]. We performed noise measurements with the 'two-QPC configuration' at = 0.4 m (Fig.…”

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confidence: 99%

“…It is convenient to define a Fano factor = 2 (1− ) ( ) , being effectively the partitioned charge, / [24,25,26]. When the current fluctuations at the = 1 2 plateau at the = 2 3 state were analyzed, assuming a single charge channel with conductance 2 3 2 ℎ , yielded = 2 3 at ~20 mK and = 1 3 at higher temperatures (~100mK) [17]. Evidently, this analysis is irrelevant with the presently understood edge reconstruction.…”

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confidence: 99%

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Edge reconstruction in fractional quantum Hall states

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confidence: 99%

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Edge reconstruction in fractional quantum Hall states

et al. 2017

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“…In the quantum Hall (QH) regime [8], it is used to control tunneling between counter propagating edge states, and it provides a useful tool to measure the fractional charge via the shot noise measurement [9][10][11][12]. However, the transmission through a QPC usually exhibits multiple resonances as a function of QPC gate voltages and high non-linearity in bias.…”

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confidence: 99%

Nontrivial transition of transmission in a highly open quantum point contact in the quantum Hall regime

et al. 2017

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The transmission through a quantum point contact (QPC) in the quantum Hall regime usually exhibits multiple resonances as a function of gate voltage and high non-linearity in bias. Such behavior is unpredictable and changes sample by sample. Here, we report observation of sharp transition of the transmission through an open QPC at finite bias which was consistently observed for all the tested QPCs. It is found that the bias dependence of the transition can be fitted to the Fermi-Dirac distribution function through universal scaling. The fitted temperature matches quite nicely to the electron temperature measured via shot noise thermometry. While the origin of the transition is unclear, we propose a phenomenological model based on our experimental results, which may help to understand such a sharp transition. Similar transitions are observed in the fractional quantum Hall regime and it is found that the temperature of the system can be measured by rescaling the quasiparticle energy with the effective charge (e * = e/3). We believe that the observed phenomena can be exploited as a tool for measuring the electron temperature of the system and for studying the quasiparticle charges of the fractional quantum Hall states.A quantum point contact (QPC) [1,2] is the most essential building block of the quantum devices such as quantum dots [3], electron interferometers [4,5], etc [6,7]. In the quantum Hall (QH) regime [8], it is used to control tunneling between counter propagating edge states, and it provides a useful tool to measure the fractional charge via the shot noise measurement [9][10][11][12]. However, the transmission through a QPC usually exhibits multiple resonances as a function of QPC gate voltages and high non-linearity in bias. Such resonances and non-linear behaviors often hamper to develop ideal quantum devices.The resonance peaks observed near pinch-off region resemble those of a quantum dot and are explained by the tunneling through localized states in the QPC gap [13][14][15]. The exstence of such localized states in an almost closed QPC can be measured as coulomb diamonds and were used as an electron thermometry by Altimiras and coworkers [16]. However, when the QPC is partially open, the resonant peaks are superposed by many other resonances randomly, hence making it very difficult to study their transport behavior systematically. Such random overlap between resonant peaks were usually regarded as the resonant tunneling through multiple localized states which can exist in a rather open QPC. Hence, not much attention has been paid until now. Here, we report sharp transition of the transmission at finite bias for a highly open QPC, which is observed consistently for all the QPCs we have tested. Moreover, it cannot be explained by overlap of multiple resonant peaks. We found that the shape of the transition step is exactly proportional to the Fermi-Dirac distribution function (not the derivative of the distribution function). Also, all the * ycchung@pusan.ac.kr † hkchoi@jbnu.ac.kr sharp transition tra...

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“…In such interacting nano-contacts, the shot noise carries informations on the structure of residual interactions and elementary excitations. For example, the noise of back-scattered current in quantum-Hall devices has been used, e.g., to extract the fractional charge e * of excitations at fillings ν = 1/3 [15,16] or ν = 2/3 [17]. Furthermore, in a strongly interacting local Fermi liquid, realized, e.g., in a quantum dot (QD) attached to normal electrodes at very low temperatures, the noise of the back-scattered current is induced by interactions, and the corresponding effective charge, e * = 5e/3 turns out to reflect the structure of local interactions rather than that of elementary excitations [4,18,19].…”

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Noise of a Chargeless Fermi Liquid

et al. 2018

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We construct a Fermi liquid theory to describe transport in a superconductor-quantum dotnormal metal junction close to the singlet-doublet (parity changing) transition of the dot. Though quasiparticles do not have a definite charge in this chargeless Fermi liquid, in case of particle-hole symmetry, a mapping to the Anderson model unveils a hidden U(1) symmetry and a corresponding pseudo-charge. In contrast to other correlated Fermi-liquids, the back scattering noise reveals an effective charge equal to the charge of Cooper pairs, e * = 2e. In addition,we find a strong suppression of noise when the linear conductance is unitary, even for its non-linear part. Introduction.-Apart from disrupting our communication, the noise contains interesting and abundant information. Advances in experimental techniques gradually allowed us to enter the quantum regime, and access this information through noise measurements in various setups, ranging from nano-circuits [1-6] or quantum optics devices [7, 8] to bosonic and superfluid systems in cold atomic settings [9, 10]. Its structure reveals the quantum statistics and the charge of quasiparticles as well as the nature of their interactions. For example, bunching of photons in quantum optics reflects the bosonic nature of light [11], while the complete suppression of noise in case of a perfectly transmitting conductance channel in a nano-circuit [12] is a consequence of the electrons being fermions.Low temperature noise has been used to extract the transmission amplitudes of a point contact [5, 13] but also to gain insight into the structure of quantum fluctuations [1, 14]. In such interacting nano-contacts, the shot noise carries informations on the structure of residual interactions and elementary excitations. For example, the noise of back-scattered current in quantum-Hall devices has been used, e.g., to extract the fractional charge e * of excitations at fillings ν = 1/3 [15,16] or ν = 2/3 [17]. Furthermore, in a strongly interacting local Fermi liquid, realized, e.g., in a quantum dot (QD) attached to normal electrodes at very low temperatures, the noise of the back-scattered current is induced by interactions, and the corresponding effective charge, e * = 5e/3 turns out to reflect the structure of local interactions rather than that of elementary excitations [4,18,19].Superconductors, from this perspective, are of particular interest; while they obviously carry current, elementary excitations in a superconductor do not have a definite charge, and possess only spin. In particular, attaching a superconductor to normal electrodes destroys the charge of electrons in its neighborhood by proximity effect [20], and makes charge ill-defined, there too. Here

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Shot Noise and Charge at the2/3Composite Fractional Quantum Hall State

Cited by 103 publications

References 26 publications

Edge reconstruction in fractional quantum Hall states

Edge reconstruction in fractional quantum Hall states

Nontrivial transition of transmission in a highly open quantum point contact in the quantum Hall regime

Noise of a Chargeless Fermi Liquid

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