Bose, Spin and Fermi Systems

Ryohei Sakamoto, Yosuke Ono, Rei Hatsuda +3 more

We study an effect of spin-1/2 fermions on the ground state of a Bose system with equal Rashba and Dresselhaus spin–orbit coupling. By using mean-field and tight-binding approximations, we show the ground state phase diagram of the Bose system in the spin–orbit coupled Bose–Fermi mixture and find that the characteristic phase domain, where a spin current of fermions may be induced, can exist even in the presence of a significantly large number of fermions.

Ryohei Sakamoto, Y Ono, Rei Hatsuda +3 more

We found that a spin current of fermions could be induced in spin-orbit coupled Bose-Fermi mixture at zero temperature. Since spatial change of the spin structure of the bosons is necessary to induce the spin current of the fermions, we analyzed the ground state of the bosons in the mixture system, using a variational method. The obtained phase diagram indicated the presence of a bosonic phase that allowed the fermions to have a spin current.

Robert F. O’Connell, Eugene Paul Wigner

We consider the manifestations of Bose and Fermi statistics on the original quantum distribution function. Initially, we consider some general symmetry properties of the density matrix. Next, we convert these results into distribution-function language for the case of a system of spin-0 particles. Finally, we consider a system of spin-\textonehalf{} particles, for which we treat the combined effects of both spin and statistics.