Journal of Low Temperature Physics

, Volume 48, Issue 3–4, pp 241–256 | Cite as

Calculation of the exchange integrals in solid3He

  • V. V. Avilov
  • S. V. Iordansky


Calculations are performed for two-, three-, and four-particle exchange in the quantum crystal of bcc solid3He. The quasiclassical approximation is used to find the tunneling path in the space of all atomic coordinates of the crystal. Effective potential energy is introduced by means of elasticity theory and the Lennard-Jones anharmonic interaction for exchanging atoms and their nearest neighbors. The two leading terms in the expansion of the logarithm of the exchange integrals in powers of the quasiclassical parameter given by the ratio of the zero oscillation amplitude to the lattice spacing are calculated. It is shown that all three exchange integrals are of the same order of magnitude.


Potential Energy Magnetic Material Lattice Spacing Elasticity Theory Oscillation Amplitude 
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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • V. V. Avilov
    • 1
  • S. V. Iordansky
    • 1
  1. 1.L. D. Landau Institute of Theoretical PhysicsChernogolovkaUSSR

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