Muon spin rotation studies on high temperature superconducting cuprates will be reviewed. After an introduction to the technique, studies on the superfluid density will be described and the universal variation of the superfluid density n_{s} as a function of p will be presented. Important exceptions will be discussed, such as the YBa_{2}Cu_{3}O_{7-δ} system, where, besides the intrinsically superconducting CuO_{2} planes, an interlayer may be metallised (here the CuO chains) which consequently contributes to a significant enhancement in superfluid density and associated improvement in technologically interesting properties such as flux pinning and critical current density. Evidence for an unconventional pairing state, possibly with d-wave symmetry, is presented from studies of the rapid suppression of superfluid density due to the substitution of structural inhomogeneities (such as Zn) that introduce strong scattering centers within the CuO_{2} planes. Finally, the phase diagram of the antiferromagnetic correlations and, in particular, their coexistence with the superconducting state, will be discussed in terms of muon spin rotation experiments in zero external magnetic field.
We report muon spin rotation studies of the magnetic field distribution n(B) in the vortex state of the high-temperature superconductor Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}. From our data on three sets of overdoped, nearly optimized and underdoped single crystals we obtain evidence for a two-stage melting process of the vortex matter under equilibrium conditions. In the irreversible regime well below the irreversibility line we observe a transition in the vortex state which we associate with an intra-planar melting transition. The resulting flux-line liquid phase persists over a sizeable temperature interval before the inter-planar decoupling of the individual vortex lines takes place in a second step at the irreversibility line, resulting in a pancake liquid phase.
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