Asymptotic solution of the infinite-dimensional Hubbard model

Algebraic Solution of the Hubbard Model on the Infinite Interval

We develop the quantum inverse scattering method for the one-dimensional Hubbard model on the infinite line at zero density. This enables us to diagonalize the Hamiltonian algebraically. The eigenstates can be classified as scattering states of particles, bound pairs of particles and bound states of pairs. We obtain the corresponding creation and annihilation operators and calculate the S-matri...

An Asymptotic Solution of the ∞ − d Hubbard Model

1 We present an asymptotically exact solution of the ∞ − d Hubbard model at a special interaction strength U T corresponding to the strong-coupling Fermi-liquid fixed point. This solution is intimately related to the Toulouse limit of the single-impurity Kondo model and the symmetric Anderson model in its strong-coupling limit.

Compressibility of the Two-Dimensional Infinite-U Hubbard Model

We study the interactions between the coherent quasiparticles and the incoherent Mott-Hubbard excitations and their effects on the low-energy properties in the U ` Hubbard model. Within the framework of a systematic large-N expansion, these effects first occur in the next-to-leading order in 1 N . We calculate the scattering phase shift and the free energy, and determine the quasiparticle weigh...

Optical conductivity of the infinite-dimensional Hubbard model.

A Monte Carlo-maximum entropy calculation of the optical conductivity of the infinite-dimensional Hubbard model is presented. We show that the optical conductivity displays the anomalies found in the cuprate superconductors, including a Drude width which grows linearly with temperature, a Drude weight which grows linearly with doping, and a temperature and doping-dependent mid-IR peak. These an...

Complete solution of the one-dimensional Hubbard model.