Static holes in the geometrically frustrated bow-tie ladder

George B Martins, Wolfram Brenig
2008 Journal of Physics: Condensed Matter  
We investigate the doping of a geometrically frustrated spin ladder with static holes by a complementary approach using exact diagonalization and quantum dimers. Results for thermodynamic properties, the singlet density of states, the hole-binding energy and the spin correlations will be presented. For the undoped systems the ground state is non-degenerate, with translationally invariant nearest-neighbor spin correlations. In the doped case, we find that static holes polarize their vicinity by
more » ... their vicinity by a localization of singlets in order to reduce the frustration. This polarization induces short range repulsive forces between two holes and an oscillatory behavior of the long range two-hole energy. For most quantities investigated, we find very good agreement between the quantum dimer approach and the results from exact diagonalization.
doi:10.1088/0953-8984/20/41/415204 fatcat:gxl3kihogjg2je46265olwdctm