Transport and Coulomb drag for two interacting carbon nanotubes

Komnik, A.; Egger, Reinhold

doi:10.1007/s100510170336

Cited by 21 publications

(25 citation statements)

References 12 publications

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“…1 are attractive candidates for further experimental progress for both spin-resolved transport and the detection of entanglement signatures. While such cross-junctions have already attracted much interest experimentally [45][46][47][48][49][50][51] and theoretically, [52][53][54][55][56][57] the novel features due to SOI have never been investigated before. Here we take the SOI fully into account, and consider setups with weak (usually sub-tesla) magnetic fields B in the plane spanned by the two CNTs, often with B parallel to one of the CNTs.…”

Section: Introductionmentioning

confidence: 99%

Spin filtering and entanglement detection due to spin-orbit interaction in carbon nanotube cross-junctions

et al. 2013

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We demonstrate that, due to their spin-orbit interaction, carbon nanotube cross-junctions have attractive spin projective properties for transport. First, we show that the junction can be used as a versatile spin filter as a function of a backgate and a static external magnetic field. Switching between opposite spin filter directions can be achieved by small changes of the backgate potential, and a full polarization is generically obtained in an energy range close to the Dirac points. Second, we discuss how the spin filtering properties affect the noise correlators of entangled electron pairs, which allows us to obtain signatures of the type of entanglement that are different from the signatures in conventional semiconductor cross-junctions.

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Section: Introductionmentioning

confidence: 99%

Spin filtering and entanglement detection due to spin-orbit interaction in carbon nanotube cross-junctions

et al. 2013

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“…At higher orders in the strength of interaction, both intrawire and interwire, a power-law renormalization of the backscattering amplitude develops as T (or the drive current in the active wire in the nonlinear response regime) decreases [41][42][43][44][45]47,49,52 (a similar renormalization of ρ D in the strongly interacting limit of a "spin-incoherent" Luttinger liquid has been discussed in Ref. 48).…”

Section: B Coulomb Drag In One Dimension: Backward Scatteringmentioning

confidence: 93%

Coulomb drag between ballistic quantum wires

2012

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We develop a kinetic equation description of Coulomb drag between ballistic one-dimensional electron systems, which enables us to demonstrate that equilibration processes between right- and left-moving electrons are crucially important for establishing dc drag. In one-dimensional geometry, this type of equilibration requires either backscattering near the Fermi level or scattering with small momentum transfer near the bottom of the electron spectrum. Importantly, pairwise forward scattering in the vicinity of the Fermi surface alone is not sufficient to produce a nonzero dc drag resistivity $\rho_{\rm D}$, in contrast to a number of works that have studied Coulomb drag due to this mechanism of scattering before. We show that slow equilibration between two subsystems of electrons of opposite chirality, "bottlenecked" by inelastic collisions involving cold electrons near the bottom of the conduction band, leads to a strong suppression of Coulomb drag, which results in an activation dependence of $\rho_{\rm D}$ on temperature---instead of the conventional power law. We demonstrate the emergence of a drag regime in which $\rho_{\rm D}$ does not depend on the strength of interwire interactions, while depending strongly on the strength of interactions inside the wires.Comment: 41 pages, 11 figures, more extended discussion, figures adde

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“…[6][7][8][9][10][11] For the latter case, the interesting possibility of a regime with almost identical currents in the two wires has been predicted [6][7][8][9] and also interesting effects for drag between carbon nanotubes have been found. 9,10 Disorder will inevitably be present in all real samples. The study of fluctuation phenomena in mesoscopic systems is a mature field and has tremendously increased our understanding of the basic physics governing electronic transport in solids.…”

Section: Introductionmentioning

confidence: 92%

Mesoscopic fluctuations of Coulomb drag between quasiballistic one-dimensional wires

2002

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Quasiballistic 1D quantum wires are known to have a conductance of the order of 2e 2 /h, with small sample-to-sample fluctuations. We present a study of the transconductance G12 of two Coulomb-coupled quasiballistic wires, i.e., we consider the Coulomb drag geometry. We show that the fluctuations in G12 differ dramatically from those of the diagonal conductance Gii: the fluctuations are large, and can even exceed the mean value, thus implying a possible reversal of the induced drag current. We report extensive numerical simulations elucidating the fluctuations, both for correlated and uncorrelated disorder. We also present analytic arguments, which fully account for the trends observed numerically.

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Transport and Coulomb drag for two interacting carbon nanotubes

Cited by 21 publications

References 12 publications

Spin filtering and entanglement detection due to spin-orbit interaction in carbon nanotube cross-junctions

Spin filtering and entanglement detection due to spin-orbit interaction in carbon nanotube cross-junctions

Coulomb drag between ballistic quantum wires

Mesoscopic fluctuations of Coulomb drag between quasiballistic one-dimensional wires

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