The quantum theory for anomalous low-temperature thermal conductivity of noncrystalline dielectric solids

W. L. Zhao; B. L. Zhou

doi:10.1088/0953-8984/4/1/006

The quantum theory for anomalous low-temperature thermal conductivity of noncrystalline dielectric solids

W. L. Zhao^*, B. L. Zhou

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The authors discuss the interaction between two-level systems and the phonon field in noncrystalline dielectric solids, and they calculate the quantum transition matrix elements of such an interaction. After studying the Boltzmann equation for phonon transport, they obtain the phonon distribution function. From a direct calculation of the heat current, and as a result of obtaining the thermal conductivity of noncrystalline dielectric solids, the T² relation is obtained.

Original language	English
Article number	006
Journal	Journal of Physics: Condensed Matter
Volume	4
Issue number	1
DOIs	https://doi.org/10.1088/0953-8984/4/1/006
Publication status	Published - 1992
Externally published	Yes

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title = "The quantum theory for anomalous low-temperature thermal conductivity of noncrystalline dielectric solids",

abstract = "The authors discuss the interaction between two-level systems and the phonon field in noncrystalline dielectric solids, and they calculate the quantum transition matrix elements of such an interaction. After studying the Boltzmann equation for phonon transport, they obtain the phonon distribution function. From a direct calculation of the heat current, and as a result of obtaining the thermal conductivity of noncrystalline dielectric solids, the T2 relation is obtained.",

author = "Zhao, {W. L.} and Zhou, {B. L.}",

year = "1992",

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AU - Zhao, W. L.

AU - Zhou, B. L.

PY - 1992

Y1 - 1992

N2 - The authors discuss the interaction between two-level systems and the phonon field in noncrystalline dielectric solids, and they calculate the quantum transition matrix elements of such an interaction. After studying the Boltzmann equation for phonon transport, they obtain the phonon distribution function. From a direct calculation of the heat current, and as a result of obtaining the thermal conductivity of noncrystalline dielectric solids, the T2 relation is obtained.

AB - The authors discuss the interaction between two-level systems and the phonon field in noncrystalline dielectric solids, and they calculate the quantum transition matrix elements of such an interaction. After studying the Boltzmann equation for phonon transport, they obtain the phonon distribution function. From a direct calculation of the heat current, and as a result of obtaining the thermal conductivity of noncrystalline dielectric solids, the T2 relation is obtained.

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U2 - 10.1088/0953-8984/4/1/006

DO - 10.1088/0953-8984/4/1/006

M3 - Article

AN - SCOPUS:36149033311

SN - 0953-8984

VL - 4

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

IS - 1

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ER -

The quantum theory for anomalous low-temperature thermal conductivity of noncrystalline dielectric solids

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