T. M. Haard
Northwestern University
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Featured researches published by T. M. Haard.
Nature | 1999
Yvonne C. Lee; T. M. Haard; W. P. Halperin; J. A. Sauls
Acoustic waves provide a powerful tool for studying the structure of matter. For example, the speed, attenuation and dispersion of acoustic waves can give useful information on molecular forces and the microscopic mechanisms of absorption and scattering of acoustic energy. In solids, both compression and shear waves occur—longitudinal and transverse sound, respectively. But normal liquids do not support shear forces and consequently transverse waves do not propagate in liquids, with one notable exception. In 1957 Landau predicted that the quantum-liquid phase of helium-3 might support transverse sound waves at sufficiently low temperatures, the restoring forces for shear waves being supplied by the collective quantum behaviour of the particles in the fluid. Such shear waves will involve displacements of the fluid transverse to the direction of propagation, and so define a polarization direction similar to that of electromagnetic waves. Here we confirm experimentally the existence of transverse sound waves in superfluid 3He-B by observing the rotation of the polarization of these waves in the presence of a magnetic field. This phenomenon is the acoustic analogue of the magneto-optic Faraday effect, whereby the polarization direction of an electromagnetic wave is rotated by a magnetic field applied along the propagation direction.
Physical Review B | 2007
Hyoungsoon Choi; J. P. Davis; J. Pollanen; T. M. Haard; W. P. Halperin
In the Ginzburg-Landau theory of superfluid
Physica B-condensed Matter | 2000
T. M. Haard; G. Gervais; Ryuji Nomura; W. P. Halperin
^{3}\mathrm{He}
Physical Review Letters | 2004
Hyoungsoon Choi; K. Yawata; T. M. Haard; J. P. Davis; G. Gervais; N. Mulders; P Sharma; J. A. Sauls; W. P. Halperin
, the free energy is expressed as an expansion of invariants of a complex order parameter. Strong coupling effects, which increase with increasing pressure, are embodied in the set of coefficients of these order-parameter invariants [A. J. Leggett, Rev. Mod. Phys. 47, 331 (1975); E. V. Thuneberg, Phys. Rev. B 36, 3583 (1987); J. Low Temp. Phys. 122, 657 (2001)]. Experiments can be used to determine four independent combinations of the coefficients of the five fourth-order invariants. This leaves the phenomenological description of the thermodynamics near
Journal of Low Temperature Physics | 2001
G. Gervais; Ryuji Nomura; T. M. Haard; Yoonseok Lee; N. Mulders; W. P. Halperin
{T}_{c}
Journal of Low Temperature Physics | 1995
P. J. Hamot; Yvonne C. Lee; D. T. Sprague; T. M. Haard; J. B. Kycia; M. R. Rand; W. P. Halperin
incomplete. Theoretical understanding of these coefficients is also quite limited. We analyze our measurements of the magnetic susceptibility and the NMR frequency shift in the
Physica B-condensed Matter | 1994
M. R. Rand; H. H. Hensley; J. B. Kycia; T. M. Haard; Yvonne C. Lee; P. J. Hamot; W. P. Halperin
B
Journal of Low Temperature Physics | 1995
D. T. Sprague; T. M. Haard; J. B. Kycia; M. R. Rand; Yvonne C. Lee; P. J. Hamot; W. P. Halperin
phase which refine the four experimental inputs to the phenomenological theory. We propose a model based on existing experiments, combined with calculations by Sauls and Serene [Phys. Rev. B 24, 183 (1981)] of the pressure dependence of these coefficients, in order to determine all five fourth-order terms. This model leads us to a better understanding of the thermodynamics of superfluid
Journal of Low Temperature Physics | 1996
Yvonne C. Lee; P. J. Hamot; D. T. Sprague; T. M. Haard; J. B. Kycia; M. R. Rand; M. W. Meisel; W. P. Halperin
^{3}\mathrm{He}
Czechoslovak Journal of Physics | 1996
W. P. Halperin; Donald T. Sprague; T. M. Haard; J. B. Kycia; Yvonne C. Lee; M. R. Rand
in its various states. We discuss the surface tension of bulk superfluid