Properties of superconductor–Luttinger-liquid hybrid systems

Fazio, Rosario; Hekking, F. W. J.; Odintsov, A. A.; Raimondi, Roberto

doi:10.1006/spmi.1999.0743

Cited by 11 publications

(12 citation statements)

References 31 publications

(18 reference statements)

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“…[10][11][12][13][14][15][16][17][18] Further extensions such as inclusion of effects due to electron-electron interactions on AR processes in case of NS junctions in the context of onedimensional ͑1D͒ wires have also been considered recently. [19][20][21][22][23][24] In this paper, we shall first develop a general formulation for studying the transport properties of a multiple quantum wire ͑QW͒ junction in the spirit of the "Landauer-Buttiker" approach, 25 where the junction itself is superconducting. We shall use this formulation to study the influence of the proximity effect on the transport properties of a superconducting junction specifically for the case of two and three 1D interacting quantum wires and show how the simple case of junction of a single 1D QW with a superconductor ͑NS junction͒ is different from the multiple wire junction counterpart.…”

Section: Introductionmentioning

confidence: 99%

Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires

2008

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We investigate transport properties of a superconducting junction of many ͑N ജ 2͒ one-dimensional quantum wires. We include the effect of electron-electron interaction within the one-dimensional quantum wire using a weak interaction renormalization group procedure. Due to the proximity effect, transport across the junction occurs via direct tunneling as well as via the crossed Andreev channel. We find that the fixed point structure of this system is far more rich than the fixed point structure of a normal metal-superconductor junction ͑N =1͒, where we only have two fixed points-the fully insulating fixed point or the Andreev fixed point. Even a two-wire ͑N =2͒ system with a superconducting junction, i.e., a normal metal-superconductor-normal metal structure, has nontrivial fixed points with intermediate transmissions and reflections. We also include electronelectron interaction induced backscattering in the quantum wires in our study and hence obtain non-Luttinger liquid behavior. It is interesting to note that ͑a͒ effects due to inclusion of electron-electron interaction induced backscattering in the wire, and ͑b͒ competition between the charge transport via the electron and hole channels across the junction give rise to a nonmonotonic behavior of conductance as a function of temperature. We also find that transport across the junction depends on two independent interaction parameters. The first one is due to the usual correlations coming from Friedel oscillations for spin-full electrons giving rise to the well-known interaction parameter ͓␣ = ͑g 2 −2g 1 ͒ / 2បv F ͔. The second one arises due to the scattering induced by the proximity of the superconductor and is given by ͓␣Ј = ͑g 2 + g 1 ͒ / 2បv F ͔. The nonmonotonic conductance and the identification of this new interaction parameter are two of our main results. In both the expressions g 1 = V͑2k F ͒ and g 2 = V͑0͒, where V͑k͒ is the interelectron interaction potential.

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Section: Introductionmentioning

confidence: 99%

Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires

2008

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“…[4,5] was subsequently extended to account for a resonant energy dependence of the bare S matrix [11,12]. We demonstrate below that the intrinsic energy dependence of Andreev reflection, which was disregarded in earlier works [13,14], is crucial for understanding the transport properties of interacting normal-metal-superconductor nanostructures.One experimental realization of a quasi-onedimensional electron system is provided by a single-wall carbon nanotube. In recent experiments [15] the differential Andreev conductance was dominated by the interface between a carbon nanotube and a superconductor.…”

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confidence: 99%

Interaction-Induced Renormalization of Andreev Reflection

2006

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We analyze the charge transport between a one-dimensional weakly interacting electron gas and a superconductor within the scaling approach in the basis of scattering states. We derive the renormalization group equations, which fully account for the intrinsic energy dependence due to Andreev reflection. A strong renormalization of the corresponding reflection phase is predicted even for a perfectly transparent metal-superconductor interface. The interaction-induced suppression of the Andreev conductance is shown to be highly sensitive to the normal-state resistance, providing a possible explanation of experiments with carbon-nanotube/superconductor junctions by Morpurgo et al. [Science 286, 263 (1999)].

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“…Here Ξ(0, L) measures the amplitude for two spins of opposite orientation introduced at x = L to arrive at x = 0. Deep in the SILL regime where all the spins are randomized and spin exchange is highly suppressed, this is just the probability of finding neighboring sites of the spin chain housing oppositely aligned spins, (53) where η ≪ 1 is a short distance cut-off that ensures ultra violet convergence of the integrals over the charge fluctuations in the wire. Up to unimportant phase factors and other overall multiplicative constants, the Josephson current in the wire is then…”

Section: Josephson Effectmentioning

confidence: 99%

“…15 In the opposite limit of a tunnel contact between the SC and SILL, no proximity effects of the SC are felt other than those perturbative in the tunneling. 53 (In contrast to the Andreev limit where the behavior of the pair correlations and tunneling density of states follows directly from the form of the field expansions imposed by the boundary conditions. 15 ) As the proximity effects are already weak in the Andreev limit (they decay exponentially fast with distance, unlike the power law decay in the LL 33 ) we do not pursue the very weak proximity effects in the spin-incoherent regime in the limit of a weak tunneling SC-SILL junction.…”

Section: A Sc-sill Junctionsmentioning

confidence: 99%

Junctions of spin-incoherent Luttinger liquids with ferromagnets and superconductors

Tilahun

Fiete

2009

Phys. Rev. B

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We discuss the properties of a strongly interacting spin-charge separated one dimensional system coupled to ferromagnets and/or superconductors. Our results are valid for arbitrary temperatures with respect to the spin energy, but require temperature be small compared to the charge energy. We focus mainly on the spin-incoherent regime where temperature is large compared to the spin energy, but small compared to the charge energy. In the case of a ferromagnet we study spin pumping and the renormalized dynamics of a precessing magnetic order parameter. We find the interaction-dependent temperature dependence of the spin pumping can be qualitatively different in the spin-incoherent regime from the Luttinger liquid regime, allowing an identification of the former. Likewise, the temperature dependence of the renormlized magnetization dynamics can be used to identify spin-incoherent physics. For the case of a spin-incoherent Luttinger liquid coupled to two superconductors, we compute the ac and dc Josephson current for a wire geometry in the limit of tunnel coupled superconductors. Both the ac and dc response contain "smoking gun" signatures that can be used to identify spin-incoherent behavior. Experimental requirements for the observation of these effects are laid out.

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Properties of superconductor–Luttinger-liquid hybrid systems

Abstract: In this paper we review some recent results concerning the physics of superconductor -Luttinger liquid proximity systems. We discuss both equilibrium (the pair amplitude, Josephson current, and the local density of states) and nonequilibrium (the subgap current) properties.

Cited by 11 publications

References 31 publications

Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires

Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires

Interaction-Induced Renormalization of Andreev Reflection

Junctions of spin-incoherent Luttinger liquids with ferromagnets and superconductors

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