We extend the Anderson impurity model to a large-spin Fermi system with spin $f=\frac{3}{2}$ , stimulated by the realization of large-spin ultracold Fermi atoms. The condition required for the spontaneous formation of local magnetic moments is examined and the ground-state mean-field magnetic phase diagram is explored carefully. We find that the spin- $\frac{3}{2}$ Fermi system involves magnetic phase regions I, II, and III that correspond to one, two, and three particle/hole occupation, respectively. In addition, it is observed that all the three magnetic phases have fourfold-degenerate ground states. Finally, the phase transition between the three phases seems to be of the first order.We extend the Anderson impurity model to a large-spin Fermi system with spin $f=\frac{3}{2}$, stimulated by the realization of large-spin ultracold Fermi atoms. The condition required for the spontaneous formation of local magnetic moments is examined and the ground-state mean-field magnetic phase diagram is explored carefully. We find that the spin-$\frac{3}{2}$ Fermi system involves magnetic phase regions I, II, and III that correspond to one, two, and three particle/hole occupation, respectively. In addition, it is observed that all the three magnetic phases have fourfold-degenerate ground states. Finally, the phase transition between the three phases seems to be of the first order.

arXiv:1905.05398Physical review. B./Physical review. BMay 9, 20195 citations

Magnetic properties of a one-dimensional interacting Fermi system

G. I. Japaridze, A. A. Nersesyan

Physics Letters ASep 1, 198120 citations

Magnetic ordering in a normal Fermi liquid at absolute zero

Robert Alan Guyer, Michael David Miller

We investigate the magnetic-ordering phase transition in a model of a strongly interacting (normal) Fermi liquid at zero temperature. Our system consists of spin-\textonehalf{} fermions which interact with a Lennard-Jones potential. The ground-state thermodynamic properties are obtained by a variational calculation which is carried through in the quantum theorem of corresponding states picture. We show that magnetic ordering represents the balance between the kinetic energy and the repulsive part of the potential energy and that the attractive part of the potential energy tends to inhibit spin ordering.We investigate the magnetic-ordering phase transition in a model of a strongly interacting (normal) Fermi liquid at zero temperature. Our system consists of spin-\textonehalf{} fermions which interact with a Lennard-Jones potential. The ground-state thermodynamic properties are obtained by a variational calculation which is carried through in the quantum theorem of corresponding states picture. We show that magnetic ordering represents the balance between the kinetic energy and the repulsive part of the potential energy and that the attractive part of the potential energy tends to inhibit spin ordering.

Physical review. B, Condensed matterOct 1, 19784 citations

Some Magnetic Properties of Systems of Fermions.

Martin Ashkin

Jan 1, 19630 citations

We extend the Anderson impurity model to a large-spin Fermi system with spin

f=\frac{3}{2}

, stimulated by the realization of large-spin ultracold Fermi atoms. The condition required for the spontaneous formation of local magnetic moments is examined and the ground-state mean-field magnetic phase diagram is explored carefully. We find that the spin-

\frac{3}{2}

Fermi system involves magnetic phase regions I, II, and III that correspond to one, two, and three particle/hole occupation, respectively. In addition, it is observed that all the three magnetic phases have fourfold-degenerate ground states. Finally, the phase transition between the three phases seems to be of the first order.