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Ultracold fermions and the SU(N) Hubbard model

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Honerkamp,  C.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Honerkamp, C., & Hofstetter, W. (2004). Ultracold fermions and the SU(N) Hubbard model. Physical Review Letters, 92(17): 170403.


Cite as: https://hdl.handle.net/21.11116/0000-000E-F74B-8
Abstract
We investigate the fermionic SU(N) Hubbard model on the two-dimensional
square lattice for weak to moderate interactions using renormalization
group and mean-field methods. For the repulsive case U>0 at half
filling and small N the dominant tendency is towards breaking of the
SU(N) symmetry. For N>6 staggered flux order takes over as the dominant
instability, in agreement with the large-N limit. Away from half
filling for N=3 two flavors remain half filled by cannibalizing the
third flavor. For U<0 and odd N a full Fermi surface coexists with a
superconductor. These results may be relevant to future experiments
with cold fermionic atoms in optical lattices.