Effect of Interchain Hopping on Nonequivalent Hubbard Chains

Motivated by recent report on the presence of different orders in each CuO$_2$ plane and their coexistence in multi-layered high-temperature superconductors, we examine a simple model with two nonequivalent Hubbard chains coupled by interchain hopping, employing the density-matrix renormalization group (DMRG) and a mean-field calculation. We consider a coupled non-interacting and spin-density-wave (SDW) chains as an example. We find that the interchain hopping induces a short-rang SDW order from adjacent SDW chain and the induced order decreases with increasing the original SDW order of the adjacent chain. We discuss the finding in connection with the multi-layered cuprates.