2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/22451To understand the orbital ordering of $LaMnO_3$ in the ground state, we study it in the A-type spin antiferromagnetic state. We calculate the two-dimensional response functions associated with the Jahn-Teller $Q_2$ and $Q_3$ distortions and find that they diverge at the wavevector $π$,$π$). Furthermore, the $Q_2$ response function diverges faster which indicates that perhaps the ordering of the orbitals at low temperatures is dominated by the $Q_2$ distortion. We calculate the ground state energy for the cases when only one of the $Q_2$ and $Q_3$ modes is excited cooperatively and find that the $Q_2$ excited state yields lower energy.Presented at Condensed Matter Days conference, Jadavpur Univ., CalcuttaStrongly Correlated Electronstext