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Keywords = few-fermion systems

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10 pages, 1846 KiB  
Article
Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps
by Tomasz Sowiński
Condens. Matter 2018, 3(1), 7; https://doi.org/10.3390/condmat3010007 - 6 Mar 2018
Cited by 4 | Viewed by 3648
Abstract
Ground-state properties of a few spin- 1 / 2 ultra-cold fermions confined in a one-dimensional trap are studied by the exact diagonalization method. In contrast to previous studies, it is not assumed that the projection of a spin of individual particles is fixed. [...] Read more.
Ground-state properties of a few spin- 1 / 2 ultra-cold fermions confined in a one-dimensional trap are studied by the exact diagonalization method. In contrast to previous studies, it is not assumed that the projection of a spin of individual particles is fixed. Therefore, the spin is treated as an additional degree of freedom and the global magnetization of the system is established spontaneously. Depending on the shape of the trap, inter-particle interactions, and an external magnetic field, the phase diagram of the system is determined. It is shown that, for particular confinements, some values of the magnetization cannot be reached by the ground-state of the system. Full article
(This article belongs to the Special Issue New Trends in Quantum Complex Matter)
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