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We report on the development of a new shell-model Monte Carlo algorithm whichuses the proton-neutron formalism. Shell model Monte Carlo methods, within theisospin formulation, have been successfully used in large-scale shell-modelcalculations. Motivation for this work is to extend the feasibility of thesemethods to shell-model studies involving non-identical proton and neutronvalence spaces. We show the viability of the new approach with some testresults. Finally, we use a realistic nucleon-nucleon interaction in the modelspace described by (1p_1/2,0g_9/2) proton and(1d_5/2,2s_1/2,1d_3/2,0g_7/2,0h_11/2) neutron orbitals above the Sr-88 core tocalculate ground-state energies, binding energies, B(E2) strengths, and tostudy pairing properties of the even-even 90-104 Zr and 92-106 Mo isotopechains

Shell model Monte Carlo method in thepn-formalism and applications to the Zr and Mo isotopes