Integrable SU(m|n) supersymmetric electronic models of strong correlations
James T. Liu (Rockefeller), D. F. Wang (ETH-L)
TL;DR
This paper extends the SU(2|2) supersymmetric Hubbard model to SU(m|n), providing integrable models on uniform and non-uniform lattices with detailed analysis of ground states and spectra.
Contribution
It introduces a generalized SU(m|n) supersymmetric model, expanding the class of integrable strongly correlated electronic systems.
Findings
Ground state wavefunctions derived for SU(m|n) models
Energy spectra characterized for both uniform and non-uniform lattices
Models demonstrate integrability in extended supersymmetric cases
Abstract
We generalize the SU(2|2) supersymmetric extended Hubbard model of 1/r2 interaction to the SU(m|n) supersymmetric case. Integrable models may be defined on both uniform lattice and non-uniform one dimensional lattices. We study both cases in detail and present the ground state wavefunctions and energy spectra of these models.
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