Theory of ac and dc electric conductivity by noninteracting electrons in correlated arrays of fixed scatterers

Visscher, W M

doi:10.1103/PhysRevB.17.598

Title: Theory of ac and dc electric conductivity by noninteracting electrons in correlated arrays of fixed scatterers

Full Record
Other Related Research

Abstract

It is shown that the procedure of averaging over positions of scatterers interacts synergetically with the application of the diagonal-projection-operator (..delta..,..delta..') decomposition to yield an exact expression for the ac and dc conductivity for an arbitrarily ordered array of fixed potentials. The formula is evaluated to lowest order in the scattering strength for arrays of scatterers with various degrees of order from uncorrelated to periodic; it is a function of density, frequency, and temperature. dc conductivity, for example, is a minimum for a perfectly random array, increasing to infinity for a periodic lattice at T = 0. Application to thermal-disorder resistivity in metals is mentioned. In appendices we discuss pervious attempts to solve this problem, simplify the quantum-mechanical Green-Kubo formula, and calculate the conductivity of classical electrons moving among dilute uncorrelated scatterers.

Authors:: Visscher, W M

Publication Date:: Sun Jan 15 00:00:00 EST 1978

Research Org.:: Theoretical Division, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87545

OSTI Identifier:: 5199805

Resource Type:: Journal Article

Journal Name:: Phys. Rev., B; (United States)

Additional Journal Information:: Journal Volume: 17:2

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHARGED-PARTICLE TRANSPORT; HAMILTONIANS; ELECTRIC CONDUCTIVITY; ELECTRIC FIELDS; ELECTRONS; TRANSPORT THEORY; ELECTRICAL PROPERTIES; ELEMENTARY PARTICLES; FERMIONS; LEPTONS; MATHEMATICAL OPERATORS; PHYSICAL PROPERTIES; QUANTUM OPERATORS; RADIATION TRANSPORT; 654001* - Radiation & Shielding Physics- Radiation Physics, Shielding Calculations & Experiments

Citation Formats


                    Visscher, W M. Theory of ac and dc electric conductivity by noninteracting electrons in correlated arrays of fixed scatterers.  United States: N. p., 1978. 
        Web.  doi:10.1103/PhysRevB.17.598.

Copy to clipboard


                    Visscher, W M. Theory of ac and dc electric conductivity by noninteracting electrons in correlated arrays of fixed scatterers.  United States.  https://doi.org/10.1103/PhysRevB.17.598

Copy to clipboard


                    Visscher, W M. 1978.  
        "Theory of ac and dc electric conductivity by noninteracting electrons in correlated arrays of fixed scatterers".  United States.  https://doi.org/10.1103/PhysRevB.17.598.

Copy to clipboard


                    
@article{osti_5199805,

  title        = {Theory of ac and dc electric conductivity by noninteracting electrons in correlated arrays of fixed scatterers},

  author       = {Visscher, W M},

  abstractNote = {It is shown that the procedure of averaging over positions of scatterers interacts synergetically with the application of the diagonal-projection-operator (..delta..,..delta..') decomposition to yield an exact expression for the ac and dc conductivity for an arbitrarily ordered array of fixed potentials. The formula is evaluated to lowest order in the scattering strength for arrays of scatterers with various degrees of order from uncorrelated to periodic; it is a function of density, frequency, and temperature. dc conductivity, for example, is a minimum for a perfectly random array, increasing to infinity for a periodic lattice at T = 0. Application to thermal-disorder resistivity in metals is mentioned. In appendices we discuss pervious attempts to solve this problem, simplify the quantum-mechanical Green-Kubo formula, and calculate the conductivity of classical electrons moving among dilute uncorrelated scatterers.},

  doi          = {10.1103/PhysRevB.17.598},

  url          = {https://www.osti.gov/biblio/5199805},
  journal      = {Phys. Rev., B; (United States)},
number       = ,

  volume       = 17:2,

  place        = {United States},

  year         = {Sun Jan 15 00:00:00 EST 1978},

  month        = {Sun Jan 15 00:00:00 EST 1978}

}

Copy to clipboard

Journal Article:

https://doi.org/10.1103/PhysRevB.17.598

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Ac and dc properties of Josephson-junction arrays with long-range interaction

Journal Article Sohn, L; Tuominen, M; Rzchowski, M; ... - Physical Review, B: Condensed Matter; (United States)

We present an experimental investigation of arrays with long-range interaction, together with a model to explain observed deviations from the predictions of earlier theoretical work. These arrays consist of [ital N] horizontal and [ital N] vertical superconducting filaments arranged in two parallel planes separated by an oxide layer, so that every wire is Josephson coupled to every other wire in the array as nearest- or next-nearest neighbors. We have performed ac-susceptibility and dc-transport measurements on both ordered and disordered arrays. Our ac measurements show a strong feature at a temperature [ital T][sub [ital c]], which we interpret as a transitionmore »« less
https://doi.org/10.1103/PhysRevB.47.975
Discreteness-induced resonances and ac voltage amplitudes in long one-dimensional Josephson junction arrays

Journal Article Duwel, A; Watanabe, S; Trias, E; ... - Journal of Applied Physics

New resonance steps are found in the experimental current-voltage characteristics of long, discrete, one-dimensional Josephson junction arrays with open boundaries and in an external magnetic field. The junctions are underdamped, connected in parallel, and dc biased. Numerical simulations based on the discrete sine-Gordon model are carried out, and show that the solutions on the steps are periodic trains of fluxons, phase locked by a finite amplitude radiation. Power spectra of the voltages consist of a small number of harmonic peaks, which may be exploited for possible oscillator applications. The steps form a family that can be numbered by the harmonicmore »« less
https://doi.org/10.1063/1.366205
Pulsed DC and AC Electromigration Studies of Cu Dual Damascene Interconnects

Journal Article Shingubara, S; Oshima, K; Ting, H; ... - AIP Conference Proceedings

Pulsed DC and AC electromigration (EM) studies were carried out in a range of a few tens of M Hz, using two level copper damascene via chain structures. For DC-EM studies, pulse off time dependence on EM MTF (median time to failure) was investigated. When the current off time was increased with constant current on time, a significant lifetime improvement was observed. We developed theoretical model that predicted EM MTF using time dependent one-dimensional drift-diffusion equation of vacancies, by taking the electron wind force into account. In this model, EM MTF is defined as the time when a maximum stressmore »« less
https://doi.org/10.1063/1.1845848
ac conductivity of a one-dimensional site-disordered lattice

Journal Article Albers, R; Gubernatis, J - Phys. Rev., B; (United States)

We report the results of a numerical study of the ac conductivity for the Anderson model of a one-dimensional, site-disordered system of 400 atoms. For different degrees of disorder, we directly diagonalized the Anderson Hamiltonian, used the Kubo-Greenwood formula to evaluate the conductivity, and then averaged the conductivity over 12 configurations. We found that the dominant frequency dependence of the conductivity consisted of a single peak which shifted to higher frequency and decreased in overall magnitude as the disorder was increased. The joint density of states and the eigenstate localization were also computed and are discussed in connection with ourmore » results.« less
https://doi.org/10.1103/PhysRevB.17.4487
LDRD final report on Bloch Oscillations in two-dimensional nanostructure arrays for high frequency applications.

Technical Report Lyo, Sungkwun; Pan, Wei; Reno, John; ...

We have investigated the physics of Bloch oscillations (BO) of electrons, engineered in high mobility quantum wells patterned into lateral periodic arrays of nanostructures, i.e. two-dimensional (2D) quantum dot superlattices (QDSLs). A BO occurs when an electron moves out of the Brillouin zone (BZ) in response to a DC electric field, passing back into the BZ on the opposite side. This results in quantum oscillations of the electron--i.e., a high frequency AC current in response to a DC voltage. Thus, engineering a BO will yield continuously electrically tunable high-frequency sources (and detectors) for sensor applications, and be a physics tour-de-force.more »« less
https://doi.org/10.2172/948689

Full Text Available

Similar Records