Transient dynamics of spin-polarized injection in helical Luttinger liquids

Calzona, Alessio; Carrega, Matteo; Dolcetto, Giacomo; Sassetti, Maura

doi:10.1016/j.physe.2015.08.033

Cited by 17 publications

(21 citation statements)

References 58 publications

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“…In the presence of interactions, these are described as helical Luttinger liquids (hLL) [24][25][26][27][28][29][30][31][32][33][34], whose first experimental manifestations have been recently observed [35]. Here, charge and spin sectors are connected and the presence of interactions implies the simultaneous fractionalization of both degrees of freedom [30,36]. However, evidence of pure spin fractionalization, i.e., fractional spinons with no charge, have not yet been observed.…”

Section: Introductionmentioning

confidence: 99%

“…However, evidence of pure spin fractionalization, i.e., fractional spinons with no charge, have not yet been observed. Indeed, the presence of measuring contacts prevents the observation of fractionalization via standard dc transport measurements [19,36]. Therefore, we propose a time-resolved detection scheme, whose degree of control has been greatly improved [11,[37][38][39].…”

Section: Introductionmentioning

confidence: 99%

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Time-resolved pure spin fractionalization and spin-charge separation in helical Luttinger liquid based devices

et al. 2015

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Helical Luttinger liquids, appearing at the edge of two-dimensional topological insulators, represent a new paradigm of one-dimensional systems, where peculiar quantum phenomena can be investigated. Motivated by recent experiments on charge fractionalization, we propose a setup based on helical Luttinger liquids that allows one to time-resolve, in addition to charge fractionalization, also spin-charge separation and pure spin fractionalization. This is due to the combined presence of spin-momentum locking and interactions. We show that electric time-resolved measurements can reveal both charge and spin properties, avoiding the need of magnetic materials. Although challenging, the proposed setup could be achieved with present-day technologies, promoting helical liquids as interesting playgrounds to explore the effects of interactions in one dimension.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time-resolved pure spin fractionalization and spin-charge separation in helical Luttinger liquid based devices

et al. 2015

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“…The properties of the other spectral functions can be obtained by using the symmetry relations (33). polarization of the tip allows us to access all possible channels of the helical liquid, by exploiting the spinmomentum locking [41,91]. Recently, this technique has been successfully used to probe the surface states of three-dimensional topological insulators [92][93][94].…”

Section: Possible Experimental Signaturesmentioning

confidence: 99%

Spectral properties of interacting helical channels driven by Lorentzian pulses

et al. 2019

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Precise shaping of coherent electron sources allows the controlled creation of wavepackets into a one dimensional (1D) quantum conductor. Periodic trains of Lorentzian pulses have been shown to induce minimal excitations without creating additional electron-hole pairs in a single non-interacting 1D electron channel. The presence of electron-electron (e-e) interactions dramatically affects the non-equilibrium dynamics of a 1D system. Here, we consider the intrinsic spectral properties of a helical liquid, with a pair of counterpropagating interacting channels, in the presence of timedependent Lorentzian voltage pulses. We show that peculiar asymmetries in the behavior of the spectral function are induced by interactions, depending on the sign of the injected charges. Moreover, we discuss the robustness of the concept of minimal excitations in the presence of interactions, where the link with excess noise is no more straightforward. Finally, we propose a scanning tunneling microscope setup to spectroscopically access and probe the non-equilibrium behavior induced by the voltage drive and e-e interactions. This allows a diagnosis of fractional charges in a correlated quantum spin Hall liquid in the presence of time-dependent drives.

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“…Propagation of coherent electron states can be properly attained in topologically protected edge channels of quantum Hall [47][48][49][50] or quantum spin Hall systems [51][52][53][54]. Topological protection guarantees ballistic transport regime, allowing for remarkable propagation length of single-electron states [55].…”

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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Transient dynamics of spin-polarized injection in helical Luttinger liquids

Cited by 17 publications

References 58 publications

Time-resolved pure spin fractionalization and spin-charge separation in helical Luttinger liquid based devices

Time-resolved pure spin fractionalization and spin-charge separation in helical Luttinger liquid based devices

Spectral properties of interacting helical channels driven by Lorentzian pulses

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

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