The concept of "spin ladder" originally appeared to study the theoretically still controversial antiferromagnet (AF) 2D square lattice in high temperature superconducting cuprates starting from a well understood 1D AF chain [1-2]. They can been schematized as an array of finite number of coupled chains .The motivation of theoretical investigations has been to test how the one-dimensional (1D) S=1/2 AF chain system (n=1), that is rigorously solved even when doped with carriers, could be connected to the 2D square lattice (n=∞) that in turn encounters various theoretical difficulties and is far from being understood. Experimentally, Sr_n-1Cu_nO_2n-1 has been the only example representing a generalized spin-ladder system [3-5]. More...