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Phonon Hall effect in ionic crystals in the presence of static magnetic field

Phonon Hall effect in ionic crystals in the presence of static magnetic field We study phonon Hall effect (PHE) for ionic crystals in the presence of static magnetic field. Using Green-Kubo formula, we present an exact calculation of thermal conductivity tensor by considering both positive and negative frequency phonons. Numerical results are shown for some lattices such as hexagonal lattices, triangular lattices, and square lattices. We find that the PHE occurs on the nonmagnetic ionic crystal NaCl, although the magnitude is very small which is due to the tiny charge-to-mass ratio of the ions. The off-diagonal thermal conductivity is finite for nonzero magnetic field and changes sign for high value of magnetic field at high temperature. We also found that the off-diagonal thermal conductivity diverges as ±1/ T at low temperature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The European Physical Journal B - Condensed Matter and Complex Systems Springer Journals

Phonon Hall effect in ionic crystals in the presence of static magnetic field

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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2011 by EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg
Subject
Physics; Condensed Matter Physics; Solid State Physics; Fluid- and Aerodynamics; Statistical Physics, Dynamical Systems and Complexity; Physics, general
ISSN
1434-6028
eISSN
1434-6036
DOI
10.1140/epjb/e2011-11002-x
Publisher site
See Article on Publisher Site

Abstract

We study phonon Hall effect (PHE) for ionic crystals in the presence of static magnetic field. Using Green-Kubo formula, we present an exact calculation of thermal conductivity tensor by considering both positive and negative frequency phonons. Numerical results are shown for some lattices such as hexagonal lattices, triangular lattices, and square lattices. We find that the PHE occurs on the nonmagnetic ionic crystal NaCl, although the magnitude is very small which is due to the tiny charge-to-mass ratio of the ions. The off-diagonal thermal conductivity is finite for nonzero magnetic field and changes sign for high value of magnetic field at high temperature. We also found that the off-diagonal thermal conductivity diverges as ±1/ T at low temperature.

Journal

The European Physical Journal B - Condensed Matter and Complex SystemsSpringer Journals

Published: May 1, 2011

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