Interplay of phase separation and itinerant magnetism for correlated few fermions in a double-well

Abstract

We explore the stability of the phase separation phenomenon in few-fermion spin-$1/2$ systems confined in a double-well potential. It is shown that within the SU(2) symmetric case, where the total spin is conserved, the phase separation cannot be fully stabilized. An interaction regime characterized by metastable phase separation emerges for intermediate interactions which is inherently related with ferromagnetic spin-spin correlations emanating within each of the wells. The breaking of the SU(2) symmetry crucially affects the stability properties of the system as the phase separated state can be stabilized even for weak magnetic potential gradients. Our results imply an intricate relation between the phenomena of phase separation and ferromagnetism that lies beyond the view of the Stoner instability.

arXiv comment23 pages, 9 figures

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• Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas
• Repulsive dynamics of strongly attractive one-dimensional quantum gases
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• Spin-charge correlations in finite one-dimensional multi-band Fermi systems
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• Gauging away the Stoner model: Engineering unconventional metallic ferromagnetism with artificial gauge fields