Ultracold fermions and the SU(N) hubbard model

Physical Review Letters

Volumn 92, Issue 17, 2004, Pages

  Honerkamp, Carsten ^a,c   Hofstetter, Walter ^a,b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b HARVARD UNIVERSITY   (United States)

^c MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER CONCENTRATION; CRYSTAL LATTICES; FERMI LEVEL; GAS CONDENSATES; GROUND STATE; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; OPTICAL SYSTEMS; QUANTUM THEORY; SUPERCONDUCTIVITY; SUPERFLUID HELIUM;

FESHBACH RESONANCES; HUBBARD MODELS; MEAN-FIELD METHODS; PERIODIC POTENTIAL;

FERMIONS;

EID: 2942520111     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.170403     Document Type: Article

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36. Note that for SU(2) the product of two fundamental representations 2 ⊗ 2 = 1 ⊗ 3 contains a singlet, while for SU(3) 3 ⊗ 3 = 3̄ ⊗ 6. Thus the even parity gaps span a three-dimensional subspace. SU(3) singlets can be formed only in the particle-hole channel (cf. pions).