Interaction energy and itinerant ferromagnetism in a strongly interacting Fermi gas in the absence of molecule formation

He, Lianyi

doi:10.1103/PhysRevA.90.053633

Title: Interaction energy and itinerant ferromagnetism in a strongly interacting Fermi gas in the absence of molecule formation

Journal Article · Tue Nov 25 23:00:00 EST 2014 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI: https://doi.org/10.1103/PhysRevA.90.053633 · OSTI ID:1238677

He, Lianyi ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this study, we investigate the interaction energy and the possibility of itinerant ferromagnetism in a strongly interacting Fermi gas at zero temperature in the absence of molecule formation. The interaction energy is obtained by summing the perturbative contributions of Galitskii-Feynman type to all orders in the gas parameter. It can be expressed by a simple phase-space integral of an in-medium scattering phase shift. In both three and two dimensions (3D and 2D), the interaction energy shows a maximum before reaching the resonance from the Bose-Einstein condensate side, which provides a possible explanation of the experimental measurements of the interaction energy. This phenomenon can be theoretically explained by the qualitative change of the nature of the binary interaction in the medium. The appearance of an energy maximum has significant effects on the itinerant ferromagnetism. In 3D, the ferromagnetic transition is reentrant and itinerant ferromagnetism exists in a narrow window around the energy maximum. In 2D, the present theoretical approach suggests that itinerant ferromagnetism does not exist, which reflects the fact that the energy maximum becomes much lower than the energy of the fully polarized state.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1238677

Report Number(s):: LA-UR--14-23537

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Journal Name: Physical Review A - Atomic, Molecular, and Optical Physics Journal Issue: 5 Vol. 90; ISSN PLRAAN; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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