The scattering of neutrons by a clean, type II superconductor in the mixed state is studied, using a quantized hydrodynamic theory for the superfluid vortex lattice. If the scattering amplitude is expanded in the number of quanta of vortex waves emitted or absorbed, the resulting inelastic cross section diverges at long wavelengths. Inclusion of inelastic effects to all orders removes this unphysical singularity and yields a differential cross section which differs only slightly from that predicted for elastic scattering.
Similar content being viewed by others
References
A. A. Abrikosov, Zh. Eksp. Teor. Fiz. 32, 1442 (1957) [English transl.: Sov. Phys.—JETP 5, 1174 (1957)].
P. G. deGennes and J. Matricon, Rev. Mod. Phys. 36, 45 (1964).
P. Pincus and K. A. Shapiro, Phys. Rev. Lett. 15, 103 (1965); 15, 597(E) (1965).
A. L. Fetter, P. C. Hohenberg, and P. Pincus, Phys. Rev. 147, 140 (1966).
A. L. Fetter, Phys. Rev. 163, 390 (1967).
A. L. Fetter, Phys. Rev. 162, 143 (1967).
K. Maki, J. Low Temp. Phys. 8, 47 (1972).
P. G. deGennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966), Chapter 3.
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Addison-Wesley, Reading, Massachusetts, 1960), pp. 213–223.
G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. (Cambridge University Press, Cambridge, 1962), Chapter III.
F. Bloch, Z. Physik 74, 295 (1932).
M. J. Lighthill, Introduction to Fourier Series and Generalized Functions (Cambridge University Press, Cambridge, England, 1960), p. 70; J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, Cambridge, England, 1964), pp. 37–42.
J. Schelten, G. Lippmann, and H. Ullmaier, J. Low Temp. Phys. 14, 213 (1974).
W. Marshall and S. W. Lovesey, Theory of Thermal Neutron Scattering (Oxford University Press, London, 1971), p. 2.
R. Sacks, Inelastic Neutron Scattering from Type-II Superconductors, Ph.D. Dissertation, Stanford University (1974), Chapter V.
Author information
Authors and Affiliations
Additional information
Research sponsored in part by Air Force grant AFOSR-74-2576.
Rights and permissions
About this article
Cite this article
Sacks, R. Neutron scattering by flux-line lattices in clean, type II superconductors. J Low Temp Phys 19, 341–363 (1975). https://doi.org/10.1007/BF00116184
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00116184