Coulomb drag between helical Luttinger liquids

Kainaris, Nikolaos; Gornyi, I. V.; Levchenko, Alex; Polyakov, D. G.

doi:10.1103/physrevb.95.045150

Cited by 15 publications

(8 citation statements)

References 57 publications

(121 reference statements)

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“…The finite-temperature behavior will be qualitative the same as the parallel drag situation. The generic kinetic theory of Coulomb drag between helical edge states, that also includes the forward-scattering long-ranged component of the Coulomb interaction, is an important topic for future work [37]. Understanding how a HLL edge state thermalizes via the various scattering mechanisms has crucial implications for nonequilibrium spectroscopy [38,39].…”

Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 99%

Helical Quantum Edge Gears in 2D Topological Insulators

2015

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We show that two-terminal transport can measure the Luttinger liquid (LL) parameter K, in helical LLs at the edges of two-dimensional topological insulators (TIs) with Rashba spin-orbit coupling. We consider a Coulomb drag geometry with two coplanar TIs and short-ranged spin-flip interedge scattering. Current injected into one edge loop induces circulation in the second, which floats without leads. In the low-temperature (T → 0) perfect drag regime, the conductance is ðe 2 =hÞð2K þ 1Þ=ðK þ 1Þ. At higher T, we predict a conductivity ∼T −4Kþ3. The conductivity for a single edge is also computed.

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Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 99%

Helical Quantum Edge Gears in 2D Topological Insulators

2015

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“…For a nanoribbon or stripe-like geometry in which the interchannel coupling becomes nonnegligible, the stability of multiple parallel helical liquids has been investigated (Xu & Moore 2006, Santos et al 2019). In addition, there is a first-principle study on interedge scattering due to a single nonmagnetic bulk impurity, a relevant backscattering source for narrow ribbons (Vannucci et al 2020), as well as theoretical works on Coulomb drag in two parallel interacting helical edge modes (Zyuzin & Fiete 2010, Chou et al 2015, Kainaris et al 2017. Furthermore, (Hou et al 2009) proposed corner junctions as a probe of 2DTI helical edge states.…”

Section: Discussion On the Charge Transportmentioning

confidence: 99%

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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“…Here, we have for simplicity neglected possible bulk Rashba spin-orbit interaction that induces spin rotation in chiral channels (for the discussion of effects of this rotation on transport in helical edges, see, e.g., Refs. [99][100][101][102][103]). In Eq.…”

Section: A Setups and Modelsmentioning

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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Coulomb drag between helical Luttinger liquids

Cited by 15 publications

References 57 publications

Helical Quantum Edge Gears in 2D Topological Insulators

Helical Quantum Edge Gears in 2D Topological Insulators

Helical Liquids in Semiconductors

Does delta-$T$ noise probe quantum statistics?

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