The Fulde-Ferrell-Larkin-Ovchinnikov state in the dimensional crossover between 1D and 3D lattices

Physics – Condensed Matter – Quantum Gases

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Scientific paper

The interplay between fermion pairing and magnetism is at the heart of understanding strongly correlated systems ranging from unconventional superconductors and ultracold gases to neutron stars and quarks. The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state would arise with this interplay, but it still remains elusive in spite of indirect experimental evidence observed. Dimensionality is expected to play a key role in realizing this exotic state of a spatially modulated order parameter. It was argued that combining strong one-dimensional (1D) FFLO features with long-range order in a quasi-1D system would stabilize the state. Here, within the dynamical mean-field theory (DMFT), we present a full phase diagram for the 1D-3D crossover of the FFLO state in the attractive Hubbard model of 3D coupled chains. We predict that the optimal regime for the FFLO state is considerably extended to intermediate interchain couplings and polarizations, directly realizable with ultracold atomic gas systems.

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