Abstract
Elastic constants of CeRu 2 have been measured as functions of temperature and magnetic field. The tilt elastic strain couples strongly with the vortices. The elastic anomaly Δ c due to the vortices is well described by the formula Δ c =( B 2 /4π)cos 2 θ/(1+λ 2 k 2 ), where θ is the angle between the propagation of the transverse sound with the wave number k and the magnetic flux density B . By using this formula, we got the number of the pinned vortices and the coefficient λ as functions of temperature and magnetic field. The vortex state can be classified into three regions with respect of the fraction of the pinned vortices; flux-flow, strong pinning and weak pinning. The strong vortex pinning is associated with the tetragonal deformation of the lattice in the magnetic field caused by the soft ( c 11 - c 12 )/2 of CeRu 2 , which is due to high density of states in the Brillouin zone.
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