Non-linear ac-transport in a Luttinger liquid with a potential barrier

Fechner, A.; Sassetti, Maura; Krämer, B.

doi:10.1209/epl/i1999-00223-5

Cited by 7 publications

(11 citation statements)

References 25 publications

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“…Contrary to the dc-transport case, where several theoretical works exist [318], the investigations of transport in 1D systems in the presence of ac fields are scarce. Furthermore, most of the theoretical work on ac-transport in Luttinger liquids focuses on the single barrier case [319,320,321,322]. The photoconductance of a 1D quantum dot embedded in a non-fermi liquid has been studied by Vicari et al [323] by means of the bosonization technique.…”

Section: Photon-assisted Tunneling In One-dimensional Quantum Dotsmentioning

confidence: 99%

Photon-assisted transport in semiconductor nanostructures

2004

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In this review we focus on electronic transport through semiconductor nanostructures which are driven by ac fields. Along the review we describe the available experimental information on different nanostructures, like resonant tunneling diodes, superlattices or quantum dots, together with the theoretical tools needed to describe the observed features. These theoretical tools such as, for instance, the Floquet formalism, the non-equilibrium Green's function technique or the density matrix technique, are suitable for tackling with photon-assisted transport problems where the interplay of different aspects like nonequilibrium, nonlinearity, quantum confinement or electron-electron interactions gives rise to many intriguing new phenomena. Along the review we give many examples which demonstrate the possibility of using appropriate ac fields to control/manipulate coherent quantum states in semiconductor nanostructures.

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Section: Photon-assisted Tunneling In One-dimensional Quantum Dotsmentioning

confidence: 99%

Photon-assisted transport in semiconductor nanostructures

2004

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“…In the cross-over region the frequency scaling is non-universal and reflects the ranges of both, the electron-electron interaction and the range of electric field. It is well known that interaction-induced renormalisation of the externally applied field influences the current in the frequency and time domains [9,10,11]. Our results indicate that for 1D correlated electrons, as long as the driving field is mono-chromatic, the Tien-Gordon formula remains valid, but with a general argument of the Bessel functions.…”

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confidence: 56%

Frequency scaling of photo-induced tunneling

et al. 1999

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PACS. 71.10Pm -Fermions in reduced dimensions. PACS. 72.20Ht -High-field and nonlinear effects. PACS. 42.65Ky -Harmonic generation, frequency conversion.Abstract. -The DC current-voltage characteristics induced by a driving electric field with frequency Ω of a one dimensional electron channel with a tunnel barrier is calculated. Electronelectron interaction of finite-range is taken into account. For intermediate interaction strengths, the non-linear differential conductance shows cusp-like minima at bias voltages m Ω/e (m integer) that are a consequence of the finite non-zero range of the interaction but are independent of the shape of the driving electric field. However, the frequency-scaling of the photo-induced current shows a cross-over between Ω −1 and Ω −2 , and depends on the spatial shape of the driving field and the range of the interaction.Typeset using EURO-T E X

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“…Here χ ν,f = −χ ν,b = ±1 for ν = r, l. The function W (t) describes the influence of bulk modes, it is directly connected to the spectral density (10) by [30] (β = 1/k B T ),…”

Section: Ac-transportmentioning

confidence: 99%

“…Temperature is low enough (k B T < ω) in order to observe the discreteness of the photon energy. The curve for α = 0 corresponds to the dc-case (30). Here the conduction is present only when µ(n, l = 0) lines up with the Fermi levels of the leads.…”

Section: Photoconductancementioning

confidence: 99%

“…Here, a microspic treatment of the interplay between correlation and ac-fields is crucial and can yield new information on the physics of non-Fermi liquids. In the past, ac-transport in a Luttinger liquid through a single barrier has been considered, including higher harmonics generation, frequency scaling properties and local fields corrections [29,30,31].…”

Section: Introductionmentioning

confidence: 99%

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