Phonon drag in ballistic quantum wires in the nonlinear regime

Muradov, M. I.

doi:10.1103/physrevb.66.115417

Cited by 2 publications

(4 citation statements)

References 16 publications

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“…where Imχ R i (k, ω) is the imaginary part of the Fourier transformed retarded density-density correlation function, Eqs. (33) and (34), and n i is the density of the electrons in the i th wire. Knowing the general features of the interwire interaction U 12 , (see Fig.…”

Section: General Considerationsmentioning

confidence: 99%

“…where ρ i,0 is the average density of the i th wire, and η is a small infinitesimal that ensures convergence of the time integral in (33). The retarded correlation function is obtained from (34) via the substitution iω n → ω + iη.…”

Section: Expressing the Densitymentioning

confidence: 99%

“…Note that ξ s (T ) ≈ a when T ≈ J 0 . Our task is now to substitute (38) into the integral in (33) and evaluate the integrals over position and time. Unfortunately, this integral does not appear to have a closed, analytical form.…”

Section: A Clean Wiresmentioning

confidence: 99%

“…32 Additionally, phonon mediated drag has been studied in one dimension. 33,34 The main qualita-tive difference that is found between the LL and FL approaches is whether r D tends to increase (LL) or decrease (FL) as the temperature is reduced to the lowest values. For the case of two infinitely long indentical clean wires the following results are obtained: In a LL, electrons tend to "lock" into a commensurate state at the lowest tempertures giving rise to a diverging drag, while in a FL the phase space available for scattering tends to zero as the temperature is lowered, implying a vanishing drag.…”

Section: Introductionmentioning

confidence: 99%

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Coulomb drag between two spin-incoherent Luttinger liquids

2006

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In a one dimensional electron gas at low enough density, the magnetic (spin) exchange energy J between neighboring electrons is exponentially suppressed relative to the characteristic charge energy, the Fermi energy EF . At non-zero temperature T , the energy hierarchy J ≪ T ≪ EF can be reached, and we refer to this as the spin incoherent Lutinger liquid state. We discuss the Coulomb drag between two parallel quantum wires in the spin incoherent regime, as well as the crossover to this state from the low temperature regime by using a model of a fluctuating Wigner solid. As the temperature increases from zero to above J for a fixed electron density, the 2kF oscillations in the density-density correlations are lost. As a result, the temperature dependence of the Coulomb drag is dramatically altered and non-monotonic dependence may result. Drag between wires of equal and unequal density are discussed, as well as the effects of weak disorder in the wires. We speculate that weak disorder may play an important role in extracting information about quantum wires in real drag experiments. PACS numbers: 71.10.Pm,71.27.+a,73.21.-b /J − cT e ω 0 T J E /

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Section: General Considerationsmentioning

confidence: 99%

Section: Expressing the Densitymentioning

confidence: 99%

Section: A Clean Wiresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coulomb drag between two spin-incoherent Luttinger liquids

2006

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Drag of ballistic electrons by an ion beam

Гуревич

Muradov

2015

J. Exp. Theor. Phys.

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Drag of electrons of 1D ballistic nanowire by a nearby 1D beam of ions is considered. We assume that the ion beam is represented by an ensemble of heavy ions of the same velocity V. The ratio of the drag current to primary current carried by the ion beam is calculated.The drag current appears to be a nonmonotonic function of velocity V , it has maxima for V near v nF /2 where n is the number of electron miniband (channel) and v nF is the corresponding Fermi velocity. This means that the ion beam drag can be applied for ballistic nanostructure spectroscopy. I. FORMULATION OF THE PROBLEMDrag as a physical phenomenon in solids can be described as follows. Consider a solid with two types of quasiparticles (type 1 and type 2). One creates a flux of the quasiparticles of type 2, the so-called driving current. As a result of the interaction between particles a current of quasiparticles of type 1, the so-called drag current is excited. An example of such phenomenon is the Coulomb drag where a current in conductor creates a current in adjacent conductor -see papers by Pogrebinski 1 and Price 2 .The purpose of the present paper is to consider a somewhat different situation where the driving current is created by real particles outside the conductor (rather than by quasiparticles within it). This would provide a contactless method to generate a drag current (or voltage) in a nanostructure.Two formulations of the problem are feasible.1. The dragging flux consists of heavy ions of almost the same velocity V.2. One considers a flux of weakly ionized gas that is in thermal equilibrium having some temperature T and hydrodynamical velocity V.In the present paper we treat the first possibility. In other words, we consider an ion beam, i. e. a flux of ions having the same velocity V. For the simplest situation the value of velocity V is determined by the accelerating voltage V and the ion mass M asHere e I is the charge of an ion.For the drag system we will treat a ballistic (collisionless) electron transport in a quantum wire. Such nanoscale systems may have rather low electron densities that can be varied by

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Phonon drag in ballistic quantum wires in the nonlinear regime

Cited by 2 publications

References 16 publications

Coulomb drag between two spin-incoherent Luttinger liquids

Coulomb drag between two spin-incoherent Luttinger liquids

Drag of ballistic electrons by an ion beam

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