Small? expansion for infinite chain limit of one dimensional Hubbard model

Arti Tandon

Vadim Cheianov, Mikhail B. Zvonarev

In this Letter we present a calculation of the one-particle irreducible density matrix $ρ(x)$ for the one-dimensional (1D) Hubbard model in the infinite $U$ limit. We consider the zero temperature spin disordered regime, which is obtained by first taking the limit $U\to \infty$ and then the limit $T\to 0.$ Using the determinant representation for $ρ(x)$ we derive analytical expressions for both large and small $x$ at an arbitrary filling factor $0

Dorota Jakubczyk

Shuichi Murakami

A new integrable variant of the one-dimensional Hubbard model with variable-range correlated hopping is studied. The Hamiltonian is constructed by applying the quantum inverse scattering method on the infinite interval at zero density to the one-parameter deformation of the L -matrix of the Hubbard model. By construction, this model has symmetry in the infinite chain limit. Multiparticle eigenstates of the model are investigated by using this method.

B. Sriram Shastry

Claudine Lacroix, M. Cyrot

An exact solution for the one-dimensional doubly degenerate Hubbard model is obtained for the case of N+1 electrons in the limit of infinite coupling (U and J to infinity ). The density of states, conductivity, susceptibility and specific heat are calculated. The results are very different from that of the non-degenerate Hubbard chain due to degeneracy.