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Phase Diagrams of the Excitonic Insulator State: Analyzing the Excitonic Susceptibility

Do Thi Hong Hai, Nguyen Thi Hau

Inżynieria Mineralna

2021

no. 2

199--206

In this paper, the formation of the excitonic insulator state in the rare-earth chalcogenides has been investigated through the extended Falicov-Kimball model. Adapting the unrestricted Hartree-Fock approximation, we have derived a set of explicitly self-consistent equations determining expectation values and the excitonic susceptibility in the system. Analyzing the excitonic susceptibility, we have established phase diagrams of the excitonic insulator state depending on the model parameters. The phase structures confirmed the excitonic insulator state is found at low temperature and between two critical values of the Coulomb interaction. The effect of the external pressure on the formation of the excitonic insulator state is also shown.

O modelu Hubbarda słów kilka

Wojtkiewicz J.

Postępy Fizyki

2007

T. 58, z. 2

66-72

In this article basic definitions, facts, achievements, and open problems concerning the Hubbard model are briefly reviewed. We begin with the definition of the model accompanied by the sketch of its derivation from Schrodinger equation for interacting electrons in a periodic potential. Then we discuss some applications of the model to certain physical problems (antiferromagnetism, ferromagnetism, stripe phases in superconductors). We also review some important achievements of the field during the forty-years-old history of the Hubbard model as well as several open problems.