Composite Fermions and their Pair States in a Strongly-Coupled Fermi Liquid

Abstract

Our goal is to understand the phenomena arising in optical lattice fermions at low temperature in an external magnetic field. Varying the field, the attraction between any two fermions can be made arbitrarily strong, where composite bosons form via so-called Feshbach resonances. By setting up strong-coupling equations for fermions, we find that in spatial dimension $d>2$ they couple to bosons which dress up fermions and lead to new massive composite fermions. At low enough temperature, we obtain the critical temperature at which composite bosons undergo the Bose-Einstein condensate (BEC), leading to BEC-dressing massive fermions. These form tightly bound pair states which are new bosonic quasi-particles producing a BEC-type condensate. A quantum critical point is found and the formation of condensates of complex quasi-particles is speculated over.

15 pages and 1 figure, the final version published in Nucl. Phys. B 936 (2018) 352-363

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Cited by in corpus (4)

• Phenomenology at the LHC of composite particles from strongly interacting Standard Model fermions via four-fermion operators of NJL type
• $W$ boson mass tension caused by its right-handed gauge coupling at high energies?
• Higgs boson origin from a gauge symmetric theory of massive composite particles and massless $W^{\pm }$ and $Z^0$ bosons at the TeV scale
• Searching for exclusive leptoquarks with the Nambu-Jona-Lasinio composite model at the LHC and HL-LHC