# Spin-1/2 fermions: crossover from weak to strong attractive interaction

Source: [Spin-1/2 fermions: crossover from weak to strong attractive interaction](<https://www.sota2.com/research/paper/68fa1e7e7a2b558e29322b36>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:10:39.166Z

Authors: K. Ziegler

Published: 2004-11-03T00:03:13.000Z

## Abstract

The formation and dissociation of bosonic molecules in an optical lattice, formed by spin-1/2 fermionic atoms, is considered in the presence of an attractive nearest-neighbor interaction. A mean-field approximation reveals three different phases at zero temperature: an empty, a condensate and a Mott-insulating phase. The density of fermionic atoms and the density of bosonic molecules indicate a characteristic behavior with respect to the interaction strength that distinguishes between a dilute and a dense regime. In particular, the attractive interaction favors the formation of molecules in the dilute regime and the dissociation of atoms in the dense regime.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0411072>)

[PDF](<https://arxiv.org/pdf/cond-mat/0411072.pdf>)