Properties of the Ground State in the Hubbard‐Hirsch Model
Q. F. Zhong, Hui‐Quan Nie, Guozhu Wei
Abstract
Q. F. Zhong, Hui‐Quan Nie, Guozhu Wei
Abstract
Abstract Using Bogolyubov's variational principle and the mean‐field theory the properties of the ground state in the Hubbard‐Hirsch model are discussed for weak coupling condition, and the phase diagrams are plotted. It is pointed out that the ground state of the system can be paramagnetic, ferromagnetic, or antiferromagnetic, depending on the intensity of the Coulomb interaction U and the exchange interaction J; the charge‐ordered phase does not exist.
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Abstract Using Bogolyubov's variational principle and the mean‐field theory the properties of the ground state in the Hubbard‐Hirsch model are discussed for weak coupling condition, and the phase diagrams are plotted. It is pointed out that the ground state of the system can be paramagnetic, ferromagnetic, or antiferromagnetic, depending on the intensity of the Coulomb interaction U and the exchange interaction J; the charge‐ordered phase does not exist.
Key concepts: Hubbard model, Ground state, Antiferromagnetism, Condensed matter physics, Phase diagram, Coulomb, Ferromagnetism, Paramagnetism