Rigorous results on the ground state of the attractive SU($N$) Hubbard model

Abstract

We study the attractive SU($N$) Hubbard model with particle-hole symmetry. The model is defined on a bipartite lattice with the number of sites $N_A$ $(N_B)$ in the $A$ $(B)$ sublattice. We prove three theorems that allow us to identify the basic ground-state properties: the degeneracy, the fermion number, and the SU($N$) quantum number. We also show that the ground state exhibits charge density wave order when $|N_A-N_B|$ is macroscopically large. The theorems hold for a bipartite lattice in any dimension, even without translation invariance.

14 pages

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Cited by in corpus (14)

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• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Charge-4$e$ Superconductivity in a Hubbard model
• Lieb's Theorem and Maximum Entropy Condensates
• Finite Temperature Strong Coupling Expansions for the SU(N) Hubbard Model
• An algebraic approach to revealing magnetic structures of ground states in many-electron systems
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Ground state properties of the periodic Anderson model with electron-phonon interactions
• Onset of charge incompressibility and Mott gaps in the Honeycomb-Lattice SU(4) Hubbard Model: Lessons for Twisted Bilayer Graphene systems
• Possible condensation of Cooper triples
• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states
• Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU($N$) Fermi-Hubbard model