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Bulletin of the American Physical Society

Persistent Currents in Bosonic Mixtures in the Ring Geometry

Zhigang Wu, E. Zaremba

Published Mar 6, 2014• 0 citations
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In this paper we analyze the possibility of persistent currents of a two-species bosonic mixture in the one-dimensional ring geometry. We extend the arguments used by F. Bloch [Phys. Rev. A 7, 2187 (1973)] to obtain a criterion for the stability of persistent currents for the two-species system. If the mass ratio of the two species is a rational number, persistent currents can be stable at multiples of a certain total angular momenta. We show that the Bloch criterion can also be viewed as a Landau criterion involving the elementary excitations of the system. Our analysis reveals that persistent currents at higher angular momenta are more stable for the two-species system than previously thought.
Persistent current of a Bose–Fermi mixture confined in a ring geometry threaded by a synthesized magnetic field is theoretically investigated. Numerical simulations are performed to study the role of boson–boson interactions and that of boson–fermion interactions on the transport property. The result shows that the boson–fermion interactions enhance the phase stiffness, which is a measure of the magnitude of the persistent current, more for the bosons than for the fermions. The same behavior is verified by a renormalization group calculation. The difference in the stiffness enhancement can be attributed to the difference in the localization property of the bosons and the fermions in one dimension.