Exact hole-induced $SU\left(N\right)$ flavor singlets in certain $U=\infty SU\left(N\right)$ Hubbard models

Journal Article · 19 March 2024 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.6.013307 · OSTI ID:2326093

Kim, Kyung-Su ; Katsura, Hosho

We prove that the motion of a single hole induces $SU\left(N\right)$ flavor singlets in the $U=\infty SU\left(N\right)$ (Fermi) Hubbard model on a Husimi-like tree graph. The result is generalized to certain $t\text{−}J$ models with singlet hopping terms typically neglected in the literature. This is an $SU\left(N\right)$ generalization of the “counter-Nagaoka theorem” introduced in []. Our results suggest the existence of resonating flavor singlet (RFS)-like polarons in the $t\text{−}J$ models on a more realistic nonbipartite lattice. Such RFS polarons may be relevant for a novel strong-coupling mechanism of superconductivity or other exotic fractionalized phases of matter. Published by the American Physical Society 2024

• Sponsoring Organization: USDOE
• Grant/Contract Number: AC02-76SF00515
• OSTI ID: 2326093
• Journal Information: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 1 Vol. 6; ISSN PPRHAI; ISSN 2643-1564
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English