The Quantum Cluster Variational Method and the Phase Diagram of the quantum ferromagnetic $J_1$-$J_2$ model
Eduardo Dominguez,
Roberto Mulet,
Carlos Lopetegui
Abstract:We exploit the Quantum Cluster Variational Method (QCVM) to study the J1-J2 model for quantum Ising spins. We first describe the QCVM and discuss how it is related to other Mean Field approximations. The phase diagram of the model is studied at the level of the Kikuchi approximation in square lattices as a function of the ratio between g = J2/J1, the temperature and the longitudinal and transverse external fields. Our results show that quantum fluctuations may change the order of the transition and induce a ga… Show more
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