Phenomenological evidence for the phonon Hall effect.

In the electrical Hall effect, a magnetic field, applied perpendicular to an electrical current, induces through the Lorentz force a voltage perpendicular to the field and the current. It is generally assumed that an analogous effect cannot exist in the phonon thermal conductivity, as there is no charge transport associated with phonon propagation. In this Letter, we argue that such a magnetotransverse thermal effect should exist and experimentally demonstrate this "phonon Hall effect" in Tb3Ga5O12.

[1]  E. Hall.  On a new Action of the Magnet on Electric Currents , 1879 .

[2]  H. B. G. Casimir,et al.  On Onsager's Principle of Microscopic Reversibility , 1945 .

[3]  P. Klemens.  The Scattering of Low-Frequency Lattice Waves by Static Imperfections , 1955 .

[4]  J. Callaway.  Model for Lattice Thermal Conductivity at Low Temperatures , 1959 .

[5]  R. Orbach.  Thermal resistance of holmium ethyl sulfate , 1962 .

[6]  H. M. Rosenberg,et al.  SCATTERING OF PHONONS BY SPINS AT LOW TEMPERATURES , 1962 .

[7]  J. Korving,et al.  Transverse momentum transport in viscous flow of diatomic gases in a magnetic field , 1966 .

[8]  J. D. Gavenda,et al.  Attenuation and Rotation of Plane-Polarized Ultrasound in Copper in a Longitudinal Magnetic Field , 1966 .

[9]  L. Hermans,et al.  Transverse heat transport in polyatomic gases under influence of a magnetic field , 1967 .

[10]  G. A. Slack,et al.  Thermal Conductivity of Garnets and Phonon Scattering by Rare-Earth Ions , 1971 .

[11]  B. Maxfield,et al.  Transverse thermal magnetoresistance of potassium , 1976 .

[12]  R. Newrock,et al.  High-field Righi-Leduc effect and lattice thermal conductivity of potassium , 1977 .

[13]  J. Tucker.  Theory of the acoustic Faraday and Cotton-Mouton effects in Ni2+-doped KMgF3 , 1980 .

[14]  Vineyard.  Effect of a magnetic field on the vibrations of an ionic lattice. , 1985, Physical review. B, Condensed matter.

[15]  O. Weis.  Differential and total scattering cross-section for phonon beams with special application to scattering by isotopes , 1995 .

[16]  van Tiggelen Ba.  Transverse diffusion of light in Faraday-active media. , 1995 .

[17]  G. Rikken,et al.  Observation of magnetically induced transverse diffusion of light , 1996, Nature.

[18]  G. Rikken,et al.  Der Photonen‐Hall‐Effekt , 1997 .

[19]  Discovery of the acoustic Faraday effect in superfluid 3He-B , 1999, Nature.

[20]  Strong damping of phononic heat current by magnetic excitations in SrCu2(BO3)(2). , 2001, Physical review letters.