Density Matrix Renormalization Group algorithm on intersecting chains

Systems of intersecting chains are interesting both from a fundamental viewpoint and because of their potential use in nanoscale devices. Here, we will introduce a new density matrix renormalization group algorithm to perform calculations on intersecting chains systems. The new DMRG algorithm greatly reduces the number of states kept per block to roughly $\sqrt{m}$ compared with the alternative ``non-local'' approach. We present results on 3-chain Heisenberg $S=1$ system with two geometries, one with a single site in the center of junction, the other with three sites in the center of junction.