Abstract
We investigate the doping of a geometrically frustrated spin ladder with static holes bya complementary approach using exact diagonalization and quantum dimers.Results for thermodynamic properties, the singlet density of states, the hole-bindingenergy and the spin correlations will be presented. For the undoped systems theground state is non-degenerate, with translationally invariant nearest-neighbor spincorrelations. For the doped case, we find that static holes polarize their vicinitythrough a localization of singlets, reducing the frustration. This polarization inducesshort range repulsive forces between two holes and an oscillatory behavior ofthe long range two-hole energy. For most quantities investigated, we find verygood agreement between the quantum dimer approach and the results from exactdiagonalization.
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