Abstract
The superfluid phases of 3He provide a unique physical system to study the dynamical effects of spontaneous symmetry breaking in condensed matter. The theory of superfluid 3He is grounded in two of the most successful theories of strongly interacting matter, Landau’s Fermi-liquid theory and the BCS pairing theory of superconductivity. These two theories were placed into a common theoretical framework in the late 60’s. I discuss applications of this theory to nonequilibrium dynamics of superfluid 3He. In 1957 Landau predicted that liquid 3He would support propagating shear waves at low temperatures, i.e. a transverse sound mode. Such waves have recently been observed at low temperatures in the superfluid B-phase of liquid 3He. These observations provide a beautiful example of the effect of spontaneous symmetry breaking in condensed matter. I discuss the theory of transverse wave propagation in 3He and the recent detection of these waves by magneto-acoustic rotation of the polarization in a magnetic field.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abel, W. R., A. C. Anderson, and J. C. Wheatley (1966) Propagation of Zero Sound in Liquid 3He at Low Temperatures. Phys. Rev. Lett. 17, 74.
Anderson, P. W. (1958) Random-Phase Approximation in the Theory of Superconductivity. Phys. Rev. 112, 1900.
Avenel, O., E. Varoquaux, and H. Ebisawa (1980) Field Splitting of the New Sound Attenuation Peak in 3He-B. Phys. Rev. Lett. 45, 1952.
Balian, R. and N. R. Werthamer (1963) Superconductivity with Pairs in a Relative P-state. Phys. Rev. 131, 1553.
Bogoliubov, N. N., Tolmachev, and Shirkov (1958) New Methods in the Theory of Superconductivity. Moscow: Academy of Science.
Combescot, M. and R. Combescot (1976) Transverse Zero Sound Propagation in Superfluid 3He. Phys. Lett. 58A, 181.
Corruccini, L., J. S. Clark, N. D. Mermin, and J. W. Wilkins (1969) Attenuation of Transverse Zero Sound in 3He. Phys. Rev. 180(1), 225.
Fishman, R. S. and J. A. Sauls (1986) Response Functions and Collective Modes of Superfluid 3He-B in Strong Magnetic Fields. Phys. Rev. B33, 6068.
Flowers, E. G., R. W. Richardson, and S. J. Williamson (1976) Transverse Sound in Normal 3He. Phys. Rev. Lett. 37, 309.
Fomin, I. A. (1968) Excitation of Transverse Zero Sound in Liquid 3He. Sov. Phys. JETP 27, 1010.
Giannetta, R. W., A. Ahonen, E. Polturak, J. Saunders, and E. K. Zeise (1980) Observation of a New Sound Attenuation Peak in Superfliud 3He-B. Phys. Rev. Lett. 45, 262.
Halperin, W. P. (1982) Acoustic Order Parameter Mode Spectroscopy in Superfluid 3He-B. Physica 109-110B, 1596.
Halperin, W. P. and E. Varoquaux (1990) Order Parameter Collective Modes in Superfluid 3 He. In: W. P. Halperin and L. P. Pitaevskii (eds.): Helium Three. Amsterdam: Elsevier Science Publishers, p. 353.
Ho, T. and V. B. Shenoy (1996) Local Spin-Gauge Symmetry of the Bose-Einstein Condensates in Atomic Gases. Phys. Rev. Lett. 77, 2595.
Koch, V. E. and P. Wölfle (1981) Coupling of New Order Parameter Collective Modes to Sound Waves in Superfluid 3He. Phys. Rev. Lett. 46, 4
Kurkijärvi, J. and D. Rainer (1990), Andreev Scattering in Superfluid 3He. In: edited by W. P. Halperin and L. P. Pitaevskii (eds.): Helium Three. (Elsevier Science Publishers, Amsterdam, p. 313.
Landau, L. D. (1956) The Theory of a Fermi Liquid. Sov. Phys. JETP 30, 1058.
Landau, L. D. (1957) Oscillations in a Fermi Liquid. Sov. Phys. JETP 32, 59.
Lee, Y., T. Haard, W. Halperin, and J. A. Sauls (1999) Discovery of an Acoustic Faraday Effect in Superfluid 3He-B. Nature 400, 431.
Leggett, A. J. (1975) A Theoretical Description of the New Phases of Liquid 3He. Rev. Mod. Phys. 47, 331.
Maki, K. (1974) Propagation of Zero Sound in the Balian-Werthamer State. J. Low Temp. Phys. 16, 465.
Maki, K. and H. Ebisawa (1977) Transverse Zero Sound in Superfluid 3He-B. J. Low Temp. Phys. 26, 627.
Mast, D. B., B. K. Sarma, J. R. Owers-Bradley, I. D. Calder, J. B. Ketterson, and W. P. Halperin (1980) Measurements of High Frequency Sound Propagation in 3He-B.Phys. Rev. Lett. 45, 266.
McKenzie, R. H. and J. A. Sauls (1990) Collective Modes and Nonlinear Acoustics in Superfluid 3 He-B. In: edited by W. P. Halperin and L. P. Pitaevskii (eds.): Helium Three. Amsterdam: Elsevier Science Publishers, p. 255.
Moores, G. F. and J. A. Sauls (1993) Transverse Waves in Superfluid 3He-B. J. Low Temp. Phys. 91, 13.
Movshovich, R., E. Varoquaux, N. Kim, and D. M. Lee (1988) Splitting of the Squashing Collective Mode of Superfluid 3He-B. Phys. Rev. Lett. 61, 1732.
Nozières, P. (1964) Theory of Interacting Fermi Systems. New York, NY: Benjamin.
Roach, P. R. and J. B. Ketterson (1976) Observation of Transverse Sound in Normal 3He. Phys. Rev. Lett. 36, 736.
Sauls, J. A. and J. W. Serene (1981) Coupling of Order-Parameter Modes with l > 1 to Zero Sound in 3He-B. Phys. Rev. B23, 4798.
Sauls, J. A. and J. W. Serene (1982) Interaction Effects on the Zeeman Splitting of Collective Modes in Superfluid 3 He-B. Phys. Rev. Lett. 49, 1183.
Schopohl, N., M. Warnke, and L. Tewordt (1983) Effect of Gap Distortion on the Field Splitting of the Collective Modes in Superfluid 3 He-B. Phys. Rev. Lett. 50, 1066.
Serene, J. W. (1983) Order Parameter Modes, Zero Sound and Symmetries in Superfluid 3He. In: Quantum Fluids and Solids-1983, Vol. 103. p. p.305.
Serene, J. W. and D. Rainer (1983) The Quasiclassical Approach to 3He. Phys. Rep. 101, 221.
Shivaram, B. S., M. W. Meisel, B. K. Sarma, W. P. Halperin, and J. B. Ketterson (1983) Nonlinear Zeeman Shifts in the Collective Mode Spectrum of 3He-B. Phys. Rev. Lett. 50, 1070.
Tewordt, L. and N. Schopohl (1979) Gap Parameters and Collective Modes for 3 He-B in the Presence of a Strong Magnetic Field. J. Low Temp. Phys. 37, 421.
Volovik, G. (1999) The Helium-Centric Universe. In: Topological Defects and the Non-equilibrium Dynamics of Symmetry Breaking Phase Transitions. Dordrecht.
Wölfle, P. (1973) Attenuation of Zero Sound in Liquid 3He: a Probe of Superfluid Pairing. Phys. Rev. Lett. 30, 1169.
Yip, S. K. and J. A. Sauls (1992) Circular Dichroism and Birefringence in Unconventional Superconductors. J. Low Temp. Phys. 86.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Sauls, J.A. (2000). Broken Symmetry & Nonequilibrium Superfluid 3He. In: Bunkov, Y.M., Godfrin, H. (eds) Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions. NATO Science Series, vol 549. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4106-2_12
Download citation
DOI: https://doi.org/10.1007/978-94-011-4106-2_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6205-0
Online ISBN: 978-94-011-4106-2
eBook Packages: Springer Book Archive