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We carry out a systematic study of the exact block entanglement in XXZspin-chain at Delta=-1/2. We present, the first analytic expressions forreduced density matrices of n spins in a chain of length L (for n<=6 andarbitrary but odd L) of a truly interacting model. The entanglement entropy,the moments of the reduced density matrix, and its spectrum are then easilyderived. We explicitely construct the "entanglement Hamiltonian" as thelogarithm of this matrix. Exploiting the degeneracy of the ground-state, wefind the scaling behavior of entanglement of the zero-temperature mixed state.

Entanglement, combinatorics and finite-size effects in spin-chains