On the electron and phonon transport in locally periodical waveguides

In the present work we study electron and phonon transport in waveguides that locally are close to a periodical waveguide. We obtain that generally an electron moves along the waveguide for a long distance without evident reflection. Internal reflection occurs only in a vicinity of some points which...

Täydet tiedot

Bibliografiset tiedot
Päätekijä: Pozharskiy, Alexey
Aineistotyyppi: Väitöskirja
Kieli:eng
Julkaistu: 2008
Aiheet:
Linkit: https://jyx.jyu.fi/handle/123456789/103719
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author Pozharskiy, Alexey
author_facet Pozharskiy, Alexey Pozharskiy, Alexey
author_sort Pozharskiy, Alexey
datasource_str_mv jyx
description In the present work we study electron and phonon transport in waveguides that locally are close to a periodical waveguide. We obtain that generally an electron moves along the waveguide for a long distance without evident reflection. Internal reflection occurs only in a vicinity of some points which are usually called turning points. The main goal of the work is to describe uniform asymptotic solutions in waveguides containing a single turning point or a pair of turning points. We also discuss the asymptotic properties of transition and reflection probabilities for the electron motion. In the case of four turning points the effect of resonant tunneling is observed. We show that the parts of the waveguide between two middle turning points can play the role of a resonator, which provides a series of resonances for the motion of electrons. This implies that if an electron energy is close to a resonance, then the transition probability for the electron motion is strongly increased. We use the same ideas to study the low temperature thermal conductance of dielectric nanofibers. We provide a simple method that allows to decrease thermal conductivity in nanofibers. For instance, such nanofibers can be used to isolate a thermal detector from a surface. The obtained methods can help in understanding the scattering in more general systems.
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We obtain that generally an electron moves along the waveguide for a long distance without evident reflection. Internal reflection occurs only in a vicinity of some points which are usually called turning points. The main goal of the work is to describe uniform asymptotic solutions in waveguides containing a single turning point or a pair of turning points. We also discuss the asymptotic properties of transition and reflection probabilities for the electron motion. In the case of four turning points the effect of resonant tunneling is observed. We show that the parts of the waveguide between two middle turning points can play the role of a resonator, which provides a series of resonances for the motion of electrons. This implies that if an electron energy is close to a resonance, then the transition probability for the electron motion is strongly increased. We use the same ideas to study the low temperature thermal conductance of dielectric nanofibers. 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spellingShingle Pozharskiy, Alexey On the electron and phonon transport in locally periodical waveguides elektronit aaltoliike jaksolliset ilmiöt tietotekniikka nanotekniikka lämmön johtuminen elasticity equation electron transport phonon transport periodical wavequide uniform asymptotic solutions
title On the electron and phonon transport in locally periodical waveguides
title_full On the electron and phonon transport in locally periodical waveguides
title_fullStr On the electron and phonon transport in locally periodical waveguides On the electron and phonon transport in locally periodical waveguides
title_full_unstemmed On the electron and phonon transport in locally periodical waveguides On the electron and phonon transport in locally periodical waveguides
title_short On the electron and phonon transport in locally periodical waveguides
title_sort on the electron and phonon transport in locally periodical waveguides
title_txtP On the electron and phonon transport in locally periodical waveguides
topic elektronit aaltoliike jaksolliset ilmiöt tietotekniikka nanotekniikka lämmön johtuminen elasticity equation electron transport phonon transport periodical wavequide uniform asymptotic solutions
topic_facet aaltoliike elasticity equation electron transport elektronit jaksolliset ilmiöt lämmön johtuminen nanotekniikka periodical wavequide phonon transport tietotekniikka uniform asymptotic solutions
url https://jyx.jyu.fi/handle/123456789/103719 http://www.urn.fi/URN:ISBN:978-952-86-0818-9
work_keys_str_mv AT pozharskiyalexey ontheelectronandphonontransportinlocallyperiodicalwaveguides