Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
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Universidade Federal de Minas Gerais
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We examine the phase diagram of the spin-1 J1 J2 J3 ferromagnetic Heisenberg model with an easyplane crystal field on the cubic lattice, in which J1 is the ferromagnetic exchange interaction between nearest neighbors, J2 is the antiferromagnetic exchange interaction between next-nearest neighbors and
J3 is the antiferromagnetic exchange interaction between next-next-nearest neighbors. Using the bondoperator formalism, we investigate the phase transitions between the disordered paramagnetic phase and the ordered ones. We show that the nature of the quantum phase transitions changes as the frustration parameters (J2/J1, J3/J1) are varied. The zero-temperature phase diagram exhibits second- and firstorder transitions, depending on the energy gap behavior. Remarkably, we find a disordered nonmagnetic phase, even in the absence of a crystal field, which is suggested to be a quantum spin liquid candidate. We also depict the phase diagram at finite temperature for some values of crystal field and frustration
parameters.
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Transições de fases, Modelo de Heisenberg, Anisotropia
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Quantum phase transition, Bond-operator formalism, Quantum spin liquid, Frustrated Heisenberg model, Single-ion anisotropy
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https://www.sciencedirect.com/science/article/pii/S0304885316301032?via%3Dihub