fluctuations except the external disturbance $\delta {\bf A}$ are neglected by focusing on the type II limit so that the applied field is given by ${\rm curl} {\bf A}_{\rm ext}$ where ${\bf A}_{\rm ext}
= {\bf A} - \delta {\bf A}$. In eq.(1.3), ${\bf j}_l=\psi^*_l
( - {\rm i}\nabla + 2 \pi {\bf A}_{\rm ext}/\phi_0) \psi_l + {\rm
c.c.}$, and the structural disorder is described by a random potential expressing $T_{c0}$-variations, $u_j({\bf r})$, and a randomness of flux $f_j({\bf r})$ \[18,19\]. We note that, in the phase-only limit ($|\psi|$ const.), the second term of eq.(1.3) expresses the pinning of vortex cores \[11,12\], while its first term becomes negligible.

This paper is organized as follows. In $\S 2$, the phase diagram of real systems in the case with ${\bf B} \perp$ layers and, primarily with only point (uncorrelated) disorder, is discussed according to recent works \[17-19, 24\], which are based on the theoretical findings that, in the pinning-free case, the vortex liquid region of the normal metal phase discontinuously freezes to change into the Abrikosov vortex solid with long-ranged positional order and quasi long-ranged \[25\] (conventional) phase coherence and that, in real systems with pinning disorder, a static glass ordering defined 