phase diagram will be of the form Fig.3 (b), in which the glass phase just below the first order transition in $B_{\rm lcp} < B <
B^*$ is BrG, and the vortex slush regime exists only in $B^* < B <
B_{\rm ucp}$. A recent magnetization measurement in heavily overdoped YBCO \[51\] seems to have shown the presence of the BrG melting line in $B
< B_{\rm lcp}$ approaching $T_{c0}$ with decreasing $B$ just like what we expect through Fig.3 (b). The dashed curves in both Fig.3 (a) and (b) indicate $B^\infty_{\rm VG}(T)$. In passing, we note that the phase diagrams given in Fig.3 are valid even for real systems including weak line-like disorder, although in this case the glass phases have the transverse Meissner effect, and the vortex slush regime is much narrower \[24\] than in the case with no line disorder.

In this section, we briefly explain results found in LLL approach to the phase diagram of model (1.1) in ${\bf B} \parallel$ layers. In this field configuration, the field strength is usually measured by the combination \[26,52\] $$p \equiv {{2 \pi d^2} \over {\phi_0}} \sqrt{\Gamma} B, \eqno(3.1)$$ as far as the relation $\xi_0 < \sqrt{\Gamma} d/\sqrt{2}$ is 