Exact ground and excited states of a t-J ladder doped with two holes

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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LaTeX, 15 pages, 5 PS figures, accepted in Journal of Physics: Condensed Matter

Scientific paper

10.1088/0953-8984/11/33/311

A two chain ladder model is considered described by the strong coupling $t-t^\prime-J-J^\prime$ Hamiltonian. For the case of two holes moving in a background of antiferromagnetically interacting spins, exact, analytical results are derived for the ground state energy and low-lying excitation spectrum. The ground state is a bound state of two holes with total spin S=0. The charge excitation is gapless and the spin excitation has a gap. The corresponding wavefunctions are also exactly determined. The bound hole pair is found to have symmetry of the d-wave type. In the limit of strong rung coupling, the model maps onto an effective hard core boson model which exhibits dominant superconducting pairing correlations.

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