2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29094To investigate the non-Fermi liquid behavior we consider the extended two-dimensional t-J model which includes additional hopping t''. In the regime t,J << t'' we were able to solve the model analytically. It has a very rich phase diagram including antiferromagnetic (AF) insulator and AF strange metal with different kinds of pseudospin-singlet superconducting pairings (p,d,g-waves). We also demonstrate a collective triplet excitation with energy below the superconducting gap11 pages, 9 FigsStrongly Correlated ElectronsSuperconductivitytext