Emittance fluctuations in a mesoscopic diffusive conductor

Jesus, Tiago de; Guo, Hong; Wang, Jian

doi:10.1103/physrevb.62.10774

Cited by 7 publications

(6 citation statements)

References 24 publications

(16 reference statements)

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“…Whenever the transmission of carriers between two contacts predominates the reflection, the associated emittance element changes sing and behaves inductance-like. This type of cross over behavior for diagonal element of emittance ν αα (taking into account the Coulomb interaction of electrons inside the sample) was found in 14 where they study the distribution function (DF) of emittance. They have found that in the range of weak disorder, when the system is still conducive the DF is Gaussian-like.…”

Section: Introductionmentioning

confidence: 68%

“…This type of crossover behavior for the diagonal element of emittance ␣␣ ͑taking into account the Coulomb interaction of electrons inside the sample͒ was found in Ref. 17, where the authors studied the distribution function ͑DF͒ of emittance. They found that in the range of weak disorder, when the system is still conductive, the DF is Gaussian-like.…”

Section: Introductionmentioning

confidence: 84%

“…16 In the metallic regime, the emittance has non-Gaussian-like behavior and some of the values of ␣␣ are negative ͑inductivelike behavior͒. 17,18 We will consider two models: a Q1D wire with the set of ␦ scattering potentials of the form…”

Section: Introductionmentioning

confidence: 99%

“…As regards the distribution function of ν αα we can say that in the strong localization regime it characterized by an exponential tail, the values of ν αα are positive and that the dynamic response of the system is capacitivelike 13 . In the metallic regime the emittance has non Gaussian-like behavior and some of the value of ν αα are negative (inductivelike behavior) 14 .…”

Section: Introductionmentioning

confidence: 99%

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Global partial density of states: Statistics and localization length in quasi-one-dimensional disordered wires

2007

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We study numerically the behavior of the distributions functions for diagonal and off-diagonal elements of the global partial density of states ͑DOS͒ in quasi-one-dimensional ͑Q1D͒ disordered wires as a function of disorder parameter from metal to insulator. We consider two different models for disordered Q1D wire: a set of two-dimensional N scatterers of ␦ potentials with arbitrary signs and strengths placed randomly and a tightbinding Hamiltonian with several modes M and on-site disorder. We show that the variances of global partial DOS in the metal to insulator crossover regime are crossing. The critical value of disorder w c , where we have crossover for given numbers of N scatterers and for modes M, can be used for calculating a localization length in Q1D systems. The matrix elements of Green's function of Dyson's equation in Q1D wires for the two models are calculated analytically. It is shown that the Q1D problem can be mapped to the 1D problem and that the poles of the Green's function matrix elements, as well as the scattering matrix elements, are a determinant of rank N ϫ N, where N is the number of scatterers. It is shown that the determinant can be used to calculate the spectrum of an electron in the disordered Q1D wire, the DOS, the scattering matrix elements, etc., without determining the exact electron wave function.

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Section: Introductionmentioning

confidence: 68%

Section: Introductionmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Global partial density of states: Statistics and localization length in quasi-one-dimensional disordered wires

2007

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“…For a chaotic QD, the emittance is also positive from the calculation of random matrix theory [5], showing capacitive-like response. For a disordered twodimensional (2D) waveguide, De Jesus et al have calculated the emittance distribution using a continuous model [10]. The emittance distribution is Gaussian at weak disorder and there is a crossover to a non-Gaussian distribution with a tail in the negative emittance region at strong disorder.…”

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confidence: 99%

Emittance fluctuation of mesoscopic conductors in the presence of disorders

Ren¹,

Xu²,

Wang³

2008

Nanotechnology

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We report an investigation of the dynamic conductance fluctuation of disordered mesoscopic conductors including one-dimensional, two-dimensional, and quantum dot systems. Our numerical results show that in the quasi-ballistic regime the average emittance is negative, indicating the expected inductive-like behavior. However, in the diffusive and localized regime, the average emittance is still negative. This disagrees qualitatively with the result obtained from random matrix theory. Our analysis suggests that this counterintuitive result is due to the appearance of non-diffusive elements in the system, the necklace states (or the precursor of necklace states in the diffusive regime) whose existence has been confirmed experimentally in an optical system.

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The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics

Büttiker

Time in Quantum Mechanics

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Starting from the Larmor clock we introduce a hierarchy of density of states. At the bottom of this hierarchy are the partial densities of states which represent the contribution to the local density of states if both the incident and the outgoing scattering channel is prescribed. We discuss the role of the partial densities of states in a number of electrical conduction problems in phase coherent mesoscopic systems: The partial densities of states play a prominent role in measurements with a scanning tunneling microscope on multiprobe conductors in the presence of current flow. The partial densities of states determine the degree of dephasing generated by a weakly coupled voltage probe. We show that the partial densities of states determine the frequency-dependent response of mesoscopic conductors in the presence of slowly oscillating voltages applied to the contacts of the sample. We introduce the off-diagonal elements of the partial density of states matrix to describe fluctuation processes. These examples demonstrate that the analysis of the Larmor clock has a wide range of applications.

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Emittance fluctuations in a mesoscopic diffusive conductor

Cited by 7 publications

References 24 publications

Global partial density of states: Statistics and localization length in quasi-one-dimensional disordered wires

Global partial density of states: Statistics and localization length in quasi-one-dimensional disordered wires

Emittance fluctuation of mesoscopic conductors in the presence of disorders

The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics

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