Two Generalizations of $\eta$ Pairing in Extended Hubbard Models
Hui Zhai
TL;DR
This paper extends Yang's rigorous Hubbard model results to two new models, revealing conditions for eigenstates with off-diagonal long-range order in 2D triangular lattices and high-spin fermion systems.
Contribution
It generalizes Yang's $ ext{eta}$-pairing results to extended Hubbard models on triangular lattices and for high-spin fermions, identifying conditions for eigenstates with off-diagonal long-range order.
Findings
Eigenstates with off-diagonal long-range order identified
Conditions for modified $ ext{eta}$-pairing operator as an eigen-operator established
Generalization of Hubbard model results to new lattice and spin systems
Abstract
A rigorous result about Hubbard model obtained by C.N.Yang [Phys.Rev.Lett.63,2144(1989)] is generalized to two kinds of extended Hubbard models. One is the Hubbard model in two-dimensional triangular lattice, and the other is the Hubbard model for high spins fermions. We obtain the conditions under which a modified -pairing operator is an eigen-operator, thus these models have a series of eigenstates possessing off-diagonal long-range order.
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