Abstract
The use of neutron scattering to determine the interactions between excitations is reviewed. A brief summary is given of the use of the triple axis crystal spectrometer and of the theory of neutron scattering. The effects on the neutron scattering cross-section of a frequency dependent self-energy of an excitation, and of the interactions between the modes are described, and illustrated. The interference between a single excitation and multiple excitation processes is reviewed, and the way in which these different effects may be distinguished is described. Neutron scattering may also be used to study the effects of the interactions between the excitations on two-excitation response functions. This is illustrated by examples from magnon-magnon scattering, from liquid helium, and from structural phase transitions.
This is a preview of subscription content, log in via an institution to check access.
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
B.N. Brockhouse, 1961, Inelastic Scattering of Neutrons in Solidsand Liquids (IAEA, Vienna) p.113.
R.B. Stinchcombe, 1977, this volume.
W. Marshall and S.W. Lovesey, 1971, Theory of Thermal Neutron Scattering (Oxford Univ. Press).
for example R.A. Cowley, 1968, Rept. Prog. Physics, 31, 123.
A.A. Maradudin and A.E. Fein, 1962, Phys. Rev. 128, 2589.
E.R. Cowley and R.A. Cowley, 1965, Proc. Roy. Soc. A237, 259.
K. Hisano, F. Placido, A.D. Bruce and G.D. Holah, 1972, J. Phys. C, 5, 2511.
J. Harada, J.D. Axe and G. Shirane, 1971, Phys. Rev. B4, 155.
R.A. Cowley, J.D. Axe, M. Iizumi (unpublished).
J. Shalyo Jr., B.C. Frazer and G. Shirane, 1970, Phys. Rev., B2, 4603.
R.A. Cowley, 1976, Phys. Rev. Lett., 36, 744.
R.A. Cowley and W.J.L. Buyers, 1969, J. Phys. C, 2, 2262.
R.A. Cowley, E.C. Svensson and W.J.L. Buyers, 1971, Phys. Rev. Letters, 23, 525.
J. Meyer, G. Dolling, R. Scherm and H.R. Glyde, 1976, J. Phys. F, 6, 943.
see H.R. Glyde, 1974, Can. J. Phys., 52, 2281.
W.J.L. Buyers, J.D. Pirie, and T. Smith, 1968, Phys. Rev., 165, 999.
V. Ambegaoker, J. Conway and G. Baym, 1965, In Lattice Dynamics, Pergamon Press, ed. R.F. Wallis, p. 261.
R.A. Cowley, W.J.L. Buyers, P. Martel and R.W.H. Stevenson, 1969, Phys. Rev. Lett., 23, 86.
T.M. Holden, E.C. Svensson, R.A. Cowley, W.J.L. Buyers and R.W.H. Stevenson, 1970, J. Appl. Phys., 41, 896.
C.R. Natoli and J. Ranninger, 1973, J. Phys. C, 6, 370.
R.A. Cowley and A.D.B. Woods, 1971, Can. J. Phys., 49, 177.
J. Ruvalds and A. Zawadowski, 1970, Phys. Rev. Lett., 25, 333.
C.A. Murray, R.L. Woerner and T.J. Greytak, 1975, J. Phys. C, 8, L90.
L.P. Pitaevskii, 1959, Sov. Phys. JETP 9, 830.
A. Zawadowski, J. Ruvalds and J. Solana, 1972, Phys. Rev., 15, 399.
E.H. Graf, V.J. Minkiewiez, H. Bjerrum Møller and L. Passell, 1974, Phys. Rev. A10, 1748.
A.J. Smith, R.A. Cowley, A.D.B. Woods, W.G. Stirling and P. Martel, 1977, J. Phys. C, 10, 543.
D.K. Lee, 1967, Phys. Rev. 162, 134.
R.A. Cowley, 1967, Proc. Phys. Soc, 90, 1127.
E.C Svensson and W.J.L. Buyers, 1968, Phys. Rev., 665, 1063.
for an outdated review see R.A. Cowley, 1974, Ferroelectrics, 6, 163.
B.I. Halperin and C.M. Varma, 1976, Phys. Rev. B, 14, 4030.
J. Krumhansl and J.R. Schrieffer, 1975, Phys. Rev. B, 11, 3535,
S. Aubry, 1975, J. Chem. Phys., 62, 3217.
G.J. Coombs and R.A. Cowley, 1973, J. Phys. C, 6, 121, 143.
G. Shirane and J.D. Axe, 1971, Phys. Rev. Lett., 27, 1803.
A.D. Bruce and R.A. Cowley (to be published).
E. Brezin and D.J. Wallace, 1973, Phys. Rev. B, 7, 232,
D.R. Nelson, 1976, Phys. Rev. B, 13, 2222.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Plenum Press, New York
About this chapter
Cite this chapter
Cowley, R.A. (1978). Neutron Scattering and Interactions between Excitations. In: Halley, J.W. (eds) Correlation Functions and Quasiparticle Interactions in Condensed Matter. NATO Advanced Study Institutes Series, vol 35. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3360-9_22
Download citation
DOI: https://doi.org/10.1007/978-1-4684-3360-9_22
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-3362-3
Online ISBN: 978-1-4684-3360-9
eBook Packages: Springer Book Archive