I would like a reference on the diagonalization of an open XX spin 1/2 chain with homogenous external magnetic field. I am new to the subject and I haven't been able to find a reference for it.
Edit:
$$H = h \sum\limits_{j=1}^{N} \sigma_j^z - J \sum\limits_{j=1}^{N-1} (\sigma_j^x \sigma_{j+1}^x + \sigma_j^y \sigma_{j+1}^y) $$ I would like the transformation that allows me to express the Hamiltonian in the form $$H = \sum_k \Lambda_k \eta^{\dagger} _k \eta_k + constants$$ I know the procedure. Just want a reference to double check my results.