Unrestricted Electron Bunching at the Helical Edge

Kurilovich, Pavel D.; Kurilovich, Vladislav D.; Burmistrov, I. S.; Gefen, Yuval; Goldstein, Moshe

doi:10.1103/physrevlett.123.056803

Cited by 16 publications

(28 citation statements)

References 60 publications

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“…In addition to the dc resistance, there are also studies on other transport-related quantities. For instance, finite-frequency conductivity, backscattering current noise, or shot noise in 2DTI edges were studied (Lezmy et al 2012, Del Maestro et al 2013, Aseev & Nagaev 2016, Kurilovich, Kurilovich, Burmistrov, Gefen & Goldstein 2019, Pashinsky et al 2020. The influence of disorder on the propagation of the edge-state wave function and the induced momentum broadening were investigated in (Gneiting & Nori 2017).…”

Section: Discussion On the Charge Transportmentioning

confidence: 99%

“…In the latter case, the correction takes the form listed here, with K modified by SOI. See also (Kimme et al 2016, Zheng & Cazalilla 2018, Kurilovich, Kurilovich, Burmistrov, Gefen & Goldstein 2019, Vinkler-Aviv et al 2020) for more general cases including I > 1/2 and nonlinear response, where the conductance is beyond a simple power law.…”

Section: Trs Breaking Mechanismmentioning

confidence: 99%

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Helical Liquids in Semiconductors

Hsu,

Stano,

Klinovaja

et al. 2021

Preprint

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One-dimensional helical liquids can appear at boundaries of certain condensed matter systems. Two prime examples are the edge of a quantum spin Hall insulator, also known as a two-dimensional topological insulator, and the hinge of a three-dimensional second-order topological insulator. For these materials, the presence of a helical state at the boundary serves as a signature of their nontrivial bulk topology. Additionally, these boundary states are of interest themselves, as a novel class of strongly correlated low-dimensional systems with interesting potential applications. Here, we review existing results on such helical liquids in semiconductors. Our focus is on the theory, though we confront it with existing experiments. We discuss various aspects of the helical states, such as their realization, topological protection and stability, or possible experimental characterization. We lay emphasis on the hallmark of these states, being the prediction of a quantized electrical conductance. Since so far reaching a well-quantized conductance remained challenging experimentally, a large part of the review is a discussion of various backscattering mechanisms which have been invoked to explain this discrepancy. Finally, we include topics related to proximity-induced topological superconductivity in helical states, as an exciting application towards topological quantum computation with the resulting Majorana bound states.

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Section: Discussion On the Charge Transportmentioning

confidence: 99%

Section: Trs Breaking Mechanismmentioning

confidence: 99%

Helical Liquids in Semiconductors

Hsu,

Stano,

Klinovaja

et al. 2021

Preprint

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“…In this section, we have only analyzed the situation with the impurity spin S = 1/2. More general situations with S > 1/2 have been investigated in helical edges only in the context of shot noise [76,119,120]. To the best of our knowledge, an analysis of influence from a spin S > 1/2 on the delta-T noise has not yet been carried out in helical-edge systems.…”

Section: B Kondo Tunnelingmentioning

confidence: 99%

Does delta-$T$ noise probe quantum statistics?

Z¹,

Gornyi²,

Spånslätt³

2022

Preprint

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We study delta-T noise-excess charge noise at zero voltage but finite temperature bias-for weak tunneling in one-dimensional interacting systems. We show that the sign of the delta-T noise is generically determined by the nature of the dominating tunneling process. More specifically, the sign is governed by the leading charge-tunneling operator's scaling dimension. We clarify the relation between the sign of delta-T noise and the quantum exchange statistics of tunneling quasiparticles. We find that, for infinite systems hosting chiral channels with local interactions (e.g., quantum Hall or quantum spin Hall edges), when the delta-T noise is negative, the tunneling particles are boson-like, revealing their tendency towards bunching. However, the opposite is not true: Bosonlike particles do not necessarily produce negative delta-T noise. Importantly, the bosonic nature of particles generating the negative delta-T is not necessarily intrinsic, but can be induced by the interactions. This, in particular, implies that negative delta-T noise for tunneling between the edge states cannot serve as a smoking gun for detecting "intrinsic anyons". We also establish a connection between the delta-T noise and the temperature derivative of the Nyquist-Johnson (thermal) noise in interacting systems, both governed by the same scaling dimensions. As a demonstration of the above statements, we study tunneling between two interacting quantum spin Hall edges. With bosonization and renormalization-group techniques, we find that many-body interactions can generate negative delta-T noise for both direct tunneling through a point contact and in Kondo exchange tunneling via a localized spin. In both these setups, we show that the noise can become negative at sufficiently low temperatures, when interactions renormalize the tunneling to favor boson-like pair-tunneling of electrons rather than single-electron tunneling. Our findings show that delta-T noise can be used to probe the nature of collective excitations in interacting one-dimensional systems.

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“…Transport in helical Luttinger liquids is sensitive to the coupling to magnetic impurities [19][20][21][22][23]29,30 , and in particular, certain details of the dynamics of the impurities become visible in the transport current through the edge.…”

Section: Spin 1/2 Impurity In a Magnetic Field Coupled To A Helical Edgementioning

confidence: 99%

“…25 Bunching effects due to correlations between cotunneling processes are well studied in quantum dots and molecular magnets 26,27 . Noise from backscattering events off a spin impurity in helical liquids has been considered so far in the absence of magnetic fields, where the Fano factor is always larger than one, pointing at bunching behavior 19,[28][29][30] . Here, we show that in the presence of a Zeeman-field ∆ Z on the quantum dot, the bunching behavior becomes supplemented by an anti-bunching behavior for small tilt angles of the magnetic field for bias voltages that satisfy k B T < ∆ Z eV (for only one polarity of the bias voltage) where T is the temperature.…”

Section: Introductionmentioning

confidence: 99%