New integrable extension of the Hubbard chain with variable range hopping

Frank Göhmann, Vladimir Inozemtsev

V. I. Inozemtsev, Ryu Sasaki B

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.

Murakami, S, 村上修一, Shuichi Murakami

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 Y(su(2))\\PhiY(su(2)) symmetry in the infinite chain limit. Multiparticle eigenstates of the model are investigated through this method. z E-mail:murakami@appi.t.u-tokyo.ac.jp 2 1 Introduction As a model of strongly correlated electrons, the Hubbard model has been attracting much interest in solid state physics. Especially, in one dimension, the model is exactly solvable [1] and its thermodynamic properties can be calculated out, which give a good testing ground for theories of strongly correlated electron systems. From the point of view of the integrability of the one-dimensional Hubbard model, there have been many works, including the pioneering work o...

R. Németh

J. Kurzyk, W. Wójcik, Józef Spałek

One-dimensional atomic chain with a variable-range hopping is described within the extended Hubbard model.The Gutzwiller-ansatz approximation is used to determine the optimized single-particle (Wannier) wave functions in the correlated state.Hopping integral up to the third neighbors is taken into account and the results are compared with those for the infinite hopping range.Ground state energy of the system is compared with that making use of the rigorous Lieb-Wu solution with the optimized wave functions.The evolution of the properties as a function of interatomic distance is discussed.