Abstract

We have mapped out the high-field phase diagram of the vortex lattice in lightly twinned ${\text{YBa}}_{2}{\text{Cu}}_{3}{\text{O}}_{7}$ by employing small-angle neutron scattering. This extends previous measurements [S. P. Brown et al., Phys. Rev. Lett. 92, 067004 (2004)] in which we reported a transition in local flux-line coordination from distorted triangular to square as a function of field applied parallel to the crystal $c$ axis. At high fields, we observe a transition back to triangular coordination with increasing angle between the applied field and $c$ axis or with increasing temperature. At lower fields, our results may be interpreted in terms of a field-induced reduction of the basal-plane $a\text{\ensuremath{-}}b$ anisotropy. Tilting the flux lines away from the $c$ axis reduces the pinning by twin planes, changes the orientation of the vortex lattice nearest-neighbor directions, and the transition between square and hexagonal vortex lattices becomes first order.

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