Abstract
We study the interplay between few-electron excitations generated by voltage pulses and interactions in a quantum Hall system at integer filling factor ν = 2. Electron-electron interactions strongly affect the dynamics of the generated pulses, leading to their fractionalization. In particular, on the innermost edge channel two oppositely charged excitations emerge, which we analyze through their Wigner function. Moreover, we show that interactions provide a signature in the noise generated when these excitations are partitioned by a quantum point contact connecting opposite edges. We compare different shapes of the external drive and we discuss the most convenient in order to extract information about the so-called mixing angle, encoding the strength of interactions between edge channels.
Highlights
Coherent ballistic propagation of few-electron wavepackets has been the subject of an intense research activity over the past twenty years, reaching the new paradigm of electron quantum optics (EQO) [1,2,3,4]
Among them the quantum Hall (QH) state [8, 9] has been widely studied in the context of EQO, both in the integer [10,11,12,13,14,15,16] and fractional [17,18,19,20,21] regimes
We have analyzed the interplay of an external drive and e-e interactions in an integer QH system at ν = 2, focusing on the inner channel
Summary
Coherent ballistic propagation of few-electron wavepackets has been the subject of an intense research activity over the past twenty years, reaching the new paradigm of electron quantum optics (EQO) [1,2,3,4]. The first term in the Hamiltonian (1) is the free kinetic part, vα being the propagation velocity along the edges; the second one describes short distance repulsive electron-electron (e-e) interactions, with coupling strength u > 0. V (t) which is spatially uniform and applied in the region x < −d, with d > 0, in order to simulate a contact in the left part of the edge This coupling is described by the Hamiltonian. A possible implementation of the coupling (2) could be to drive both channels and to use a gate [32] or a properly polarized QPC [33] immediately after the driven contact as a filter to transmit only outer channel excitations.
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