Low-energy Effective Hamiltonians for High-Temperature Superconducting Copper oxides

Ab initio low-energy effective Hamiltonians for high-temperature superconducting cuprates Bi$_2$Sr$_2$CuO$_6$, Bi$_2$Sr$_2$CaCu$_2$O$_8$ and CaCuO$_2$

We derive low-energy effective hamiltonians (leh) for several high-temperature superconducting (sc) copper oxides.We apply the latest methodologyof the multiscale ab initio scheme for correlated electron systems (mace).The derived low-energy effective hamiltonians provide reliable starting points to understand the difference in and superconducting mechanism, when they are solved by accurate quantum many-body solvers.Inspection of the three-orbital lehconsisting of the antibonding combination of and two counterpart bonding orbitals suggests that the single-orbital leh looks sufficient to describe low-energy physics.