Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures

Fononikide on keinotekoinen periodinen rakenne yhdessä, kahdessa tai kolmessa ulottuvuudessa, joka vaikuttaa fononien eli elastisten aaltojen kvanttien etenemiseen. Koska lämmön johtuminen eristeissä ja puolijohteissa tapahtuu pääasiassa fononien välityksellä, voidaan fononikiteillä vaikuttaa lämmön...

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Main Author: Korkiamäki, Tatu
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2020
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/72941
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author Korkiamäki, Tatu
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_facet Korkiamäki, Tatu Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä Korkiamäki, Tatu Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_sort Korkiamäki, Tatu
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description Fononikide on keinotekoinen periodinen rakenne yhdessä, kahdessa tai kolmessa ulottuvuudessa, joka vaikuttaa fononien eli elastisten aaltojen kvanttien etenemiseen. Koska lämmön johtuminen eristeissä ja puolijohteissa tapahtuu pääasiassa fononien välityksellä, voidaan fononikiteillä vaikuttaa lämmön kulkeutumiseen kyseisissä materiaaleissa. Fononikiteiden toimintamekanismit voidaan karkeasti jakaa kahteen eri kategoriaan: epäkoherenttiin, jossa hiukkasmainen diffusiivinen sironta hallitsee, ja koherenttiin, jossa fononit etenevät aaltomaisesti. Verrattuna reikärakenteisiin perustuviin kiteisiin, lämmönjohtumiseen vaikuttavien fononikiteiden joukossa huomattavasti vähemmän tutkittuja 2D-kiteitä ovat niin kutsutut pilaripohjaiset fononikiteet, joissa hila muodostuu periodisesti järjestyneistä pilareista ohuella kalvolla. Näiden fononikiteiden spektri voi sisältää niin kutsuttuja lokaaleja resonansseja, jotka estävät lämmön kulkeutumisen. Tässä pro gradu -tutkielmassa valmistettiin kaksi pilaripohjaista fononikidettä eri hilavakiolla, joiden lämmönjohtavuudet mitattiin. Pilareiden materiaali oli alumiini, ja niiden korkeus oli 300 nm, täyttösuhde oli 0.65, hilavakiot olivat 5 um ja 1 um, ja ne olivat 300 nm paksun piinitridikalvon pinnalla. Mittaukset suoritettiin suprajohtaviin liitoksiin perustuvalla lämmitin-lämpömittari-laitteella, joka valmistettiin näytteelle. Mittaukset tehtiin alle Kelvinin lämpötilassa, joka saavutettiin 3He/4Helaimennusjäähdyttimellä. Tuloksina saatiin 85 %:n lämmönjohtavuuden aleneminen verrattuna puhtaaseen kalvoon, joka kuitenkin vaikuttaisi olevan peräisin epäkoherentista sironnasta. Mahdollisia syitä koherenssin katoamiselle ovat pilareiden pinnan epätasaisuus, pilareiden ja kalvon välinen rajapinta sekä pilareiden sisäiset raerajat. A phononic crystal (PnC) is an artificial periodic structure in one, two or three dimensions that affects the propagation of phonons, the quanta of elastic waves. As heat is mostly carried by phonons in insulators and semiconductors, PnC can be utilised in controlling thermal transport in such materials. The mechanisms how PnCs can work can be generally divided into two categories: one where incoherent, diffusive particle-like scattering dominates, and another where coherent wave-like scattering is operational. Compared to hole-based PnCs, much less studied 2D crystals in thermal conductance manipulation are the pillar-based PnCs, where the lattice is formed by a periodic array of pillars on a thin membrane. For such PnCs, the phonon spectrum can also include localised resonances which cannot carry heat. In this thesis we have fabricated and measured the thermal conductance of two pillar-based PnC with a different lattice constant, where aluminium pillars with a height of 300 nm, a 0.65 filling factor and lattice constants of 5 um and 1 um were deposited on a 300 nm thick silicon nitride film. The measurements were conducted at sub-Kelvin temperatures with a superconducting junction-based heaterthermometer setup fabricated onto the sample. Low temperatures were achieved via a 3He/4He dilution refrigerator. The results showed up to an 85 % reduction in thermal conductance compared to an unaltered film. Initially, it appears that the mechanism responsible for the reduction was incoherent scattering. Possible causes for the breakdown of the coherence include the pillar surface roughness, the pillar-film-interface, or grain boundaries within the pillars.
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Fononikiteiden toimintamekanismit voidaan karkeasti jakaa kahteen\neri kategoriaan: ep\u00e4koherenttiin, jossa hiukkasmainen diffusiivinen sironta hallitsee,\nja koherenttiin, jossa fononit etenev\u00e4t aaltomaisesti. Verrattuna reik\u00e4rakenteisiin\nperustuviin kiteisiin, l\u00e4mm\u00f6njohtumiseen vaikuttavien fononikiteiden joukossa huomattavasti\nv\u00e4hemm\u00e4n tutkittuja 2D-kiteit\u00e4 ovat niin kutsutut pilaripohjaiset fononikiteet,\njoissa hila muodostuu periodisesti j\u00e4rjestyneist\u00e4 pilareista ohuella kalvolla.\nN\u00e4iden fononikiteiden spektri voi sis\u00e4lt\u00e4\u00e4 niin kutsuttuja lokaaleja resonansseja,\njotka est\u00e4v\u00e4t l\u00e4mm\u00f6n kulkeutumisen.\nT\u00e4ss\u00e4 pro gradu -tutkielmassa valmistettiin kaksi pilaripohjaista fononikidett\u00e4 eri\nhilavakiolla, joiden l\u00e4mm\u00f6njohtavuudet mitattiin. Pilareiden materiaali oli alumiini,\nja niiden korkeus oli 300 nm, t\u00e4ytt\u00f6suhde oli 0.65, hilavakiot olivat 5 um ja 1 um, ja\nne olivat 300 nm paksun piinitridikalvon pinnalla. Mittaukset suoritettiin suprajohtaviin\nliitoksiin perustuvalla l\u00e4mmitin-l\u00e4mp\u00f6mittari-laitteella, joka valmistettiin\nn\u00e4ytteelle. Mittaukset tehtiin alle Kelvinin l\u00e4mp\u00f6tilassa, joka saavutettiin 3He/4Helaimennusj\u00e4\u00e4hdyttimell\u00e4.\nTuloksina saatiin 85 %:n l\u00e4mm\u00f6njohtavuuden aleneminen\nverrattuna puhtaaseen kalvoon, joka kuitenkin vaikuttaisi olevan per\u00e4isin ep\u00e4koherentista\nsironnasta. Mahdollisia syit\u00e4 koherenssin katoamiselle ovat pilareiden pinnan\nep\u00e4tasaisuus, pilareiden ja kalvon v\u00e4linen rajapinta sek\u00e4 pilareiden sis\u00e4iset raerajat.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "A phononic crystal (PnC) is an artificial periodic structure in one, two or three\ndimensions that affects the propagation of phonons, the quanta of elastic waves. As\nheat is mostly carried by phonons in insulators and semiconductors, PnC can be\nutilised in controlling thermal transport in such materials. The mechanisms how\nPnCs can work can be generally divided into two categories: one where incoherent,\ndiffusive particle-like scattering dominates, and another where coherent wave-like\nscattering is operational. Compared to hole-based PnCs, much less studied 2D\ncrystals in thermal conductance manipulation are the pillar-based PnCs, where the\nlattice is formed by a periodic array of pillars on a thin membrane. For such PnCs,\nthe phonon spectrum can also include localised resonances which cannot carry heat.\nIn this thesis we have fabricated and measured the thermal conductance of two\npillar-based PnC with a different lattice constant, where aluminium pillars with\na height of 300 nm, a 0.65 filling factor and lattice constants of 5 um and 1 um\nwere deposited on a 300 nm thick silicon nitride film. The measurements were\nconducted at sub-Kelvin temperatures with a superconducting junction-based heaterthermometer\nsetup fabricated onto the sample. Low temperatures were achieved\nvia a 3He/4He dilution refrigerator. The results showed up to an 85 % reduction\nin thermal conductance compared to an unaltered film. Initially, it appears that\nthe mechanism responsible for the reduction was incoherent scattering. Possible\ncauses for the breakdown of the coherence include the pillar surface roughness, the\npillar-film-interface, or grain boundaries within the pillars.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2020-12-03T08:43:09Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2020-12-03T08:43:09Z (GMT). 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spellingShingle Korkiamäki, Tatu Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures phononic crystal Fysiikka Physics 4021 koherenssi lämmön johtuminen fononit pilarit coherence heat conduction phonons pillars
title Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures
title_full Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures
title_fullStr Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures
title_full_unstemmed Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures
title_short Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures
title_sort thermal conductance of pillar based phononic crystals at sub kelvin temperatures
title_txtP Thermal conductance of pillar-based phononic crystals at sub-Kelvin temperatures
topic phononic crystal Fysiikka Physics 4021 koherenssi lämmön johtuminen fononit pilarit coherence heat conduction phonons pillars
topic_facet 4021 Fysiikka Physics coherence fononit heat conduction koherenssi lämmön johtuminen phononic crystal phonons pilarit pillars
url https://jyx.jyu.fi/handle/123456789/72941 http://www.urn.fi/URN:NBN:fi:jyu-202012036898
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