Single-particle shot noise at nonzero temperature

Moskalets, Michael

doi:10.1103/physrevb.96.165423

Cited by 17 publications

(17 citation statements)

References 67 publications

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“…In order to compare the properties of the currents from the three sources, we take them to be characterized by equal widths σ ≡ σ cap = σ lev = σ loc and emission times, t (e) ≡ t lev = t (e) cap (E = 0) = t (e) loc = 0 (focussing on one emission period, only). In our comparison, we are particularly interested in the influence of temperature [58][59][60]. For this reason, we define two dimensionless parameters…”

Section: B Lorentzian Bias Voltagementioning

confidence: 99%

Minimal excitation single-particle emitters: Comparison of charge-transport and energy-transport properties

et al. 2019

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We investigate different types of time-dependently driven single-particle sources whose common feature is that they produce pulses of integer charge and minimally excite the Fermi sea. These sources are: a slowly driven mesoscopic capacitor, a Lorentzian-shaped time-dependent bias voltage, and a local gate-voltage modulation of a quantum Hall edge state. They differ by their specific driving protocols, e.g., they have a pure ac driving or a driving with a dc component. In addition, only in the first of these setups, strong confinement leading to a discrete energy spectrum of the conductor, is exploited for the single-particle emission. Here, we study if and how these basic differences impact transport properties. Specifically, we address time-and energy-resolved charge and energy currents, as well as their zero-frequency correlators (charge-, energy-and mixed noise), as they are frequently used to characterize experiments in quantum optics with electrons. Beyond disparities due to a different number and polarity of particles emitted per period, we in particular identify differences in the impact, which temperature has on the observables for sources with and without energy-dependent scattering properties. We trace back these characteristics to a small set of relevant parameter ratios. arXiv:1902.01209v1 [cond-mat.mes-hall]

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Section: B Lorentzian Bias Voltagementioning

confidence: 99%

Minimal excitation single-particle emitters: Comparison of charge-transport and energy-transport properties

et al. 2019

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“…We define the zero frequency noise as 56,80,[86][87][88] S =2 (−d, t), with J L2 the current operator of the inner channel on the left-moving edge [see Fig. 1(a)].…”

Section: A Single Voltage Pulsementioning

confidence: 99%

Probing interactions via nonequilibrium momentum distribution and noise in integer quantum Hall systems at ν=2

et al. 2018

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We consider the excitation of single-electron wave packets by means of a time dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor ν = 2. Due to electron-electron interactions, fractional excitations emerge along the edge. Their detailed structure is analyzed by evaluating the non-equilibrium momentum distributions associated with the different edge channels. We provide results for a generic time-dependent drive both in the stationary regime and for intermediate times, where the overlap between fractionalized wave packets carries relevant information on interaction strength. As a particular example we focus on a Lorentzian drive, which provides a clear signature of the minimal excitations known as Levitons. Here, we argue that inner-channel fractionalized excitations can be exploited to extract information about inter-channel interactions. We further confirm this idea by calculating the zero frequency noise due to the partitioning of these excitations at a quantum point contact and we propose a measurable quantity as a tool to directly probe electron-electron interactions and determine the so-called mixing angle of copropagating quantum Hall channels. arXiv:1806.03897v2 [cond-mat.mes-hall]

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“…Among the most relevant EQO experiments, a prominent position is held by the Hanbury-Brown-Twiss (HBT) configuration, where a single source excites singleelectron states along ballistic edge channels, which are partitioned against a beamsplitter, i.e. a quantum point contact (QPC), thus generating a shot noise signal employed to probe the single-electron nature of Levitons [11,21,[30][31][32][33][34][35][36]. Another remarkable experimental configuration of EQO is provided by the Hong-Ou-Mandel (HOM) interferometer [37], where two sources of single electrons are placed on the opposite side of a scatterer, say the QPC and delayed by a tunable time [6,13,17,35,38,39].…”

Section: Introductionmentioning

confidence: 99%

Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact

Ronetti

Carrega

Sassetti

2020

Phys. Rev. Research

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We consider transport properties of a single edge of a two-dimensional topological insulators, in presence of Rashba spin-orbit coupling, driven by two external time-dependent voltages and connected to a thin superconductor. We focus on the case of a train of Lorentzian-shaped pulses, which are known to generate coherent single-electron excitations in two-dimensional electron gas, and prove that they are minimal excitations for charge transport also in helical edge states, even in the presence of spin-orbit interaction. Importantly, these properties of Lorentzian-shaped pulses can be tested computing charge noise generated by the scattering of particles at the thin superconductor. This represents a novel setup where electron quantum optics experiments with helical states can be implemented, with the superconducting contact as an effective beamsplitter. By elaborating on this configuration, we also evaluate charge noise in a collisional Hong-Ou-Mandel configuration, showing that, due to the peculiar effects induced by Rashba interaction, a non-vanishing dip at zero delay appears.

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Single-particle shot noise at nonzero temperature

Cited by 17 publications

References 67 publications

Minimal excitation single-particle emitters: Comparison of charge-transport and energy-transport properties

Minimal excitation single-particle emitters: Comparison of charge-transport and energy-transport properties

Probing interactions via nonequilibrium momentum distribution and noise in integer quantum Hall systems at ν=2

Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact

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