Partially Solvable Anisotropic t-J Model with Long-Range Interactions
نویسندگان
چکیده
A new anisotropic t-J model in one dimension is proposed which has longrange hopping and exchange. This t-J model is only partially solvable in contrast to known integrable models with long-range interaction. In the highdensity limit the model reduces to the XXZ chain with the long-range exchange. Some exact eigenfunctions are shown to be of Jastrow-type if certain conditions for an anisotropy parameter are satisfied. The ground state as well as the excitation spectrum for various cases of the anisotropy parameter and filling are derived numerically. It is found that the Jastrow-type wave function is an excellent trial function for any value of the anisotropy parameter.
منابع مشابه
Observation of dipole-dipole interaction in a degenerate quantum gas.
We have investigated the expansion of a Bose-Einstein condensate of strongly magnetic chromium atoms. The long-range and anisotropic magnetic dipole-dipole interaction leads to an anisotropic deformation of the expanding chromium condensate which depends on the orientation of the atomic dipole moments. Our measurements are consistent with the theory of dipolar quantum gases and show that a chro...
متن کاملNew exactly solvable model of strongly correlated electrons motivated by high-Tc superconductivity.
We present a new model describing strongly correlated electrons on a general d-dimensional lattice. It differs from the Hubbard model by interactions of nearest neighbours, and it contains the t-J model as a special case. The model naturally describes local electron pairs, which can move coherently at arbitrary momentum. By using an η-pairing mechanism we can construct eigenstates of the hamilt...
متن کاملAn Exact Solution to a Three Dimensional Ising Model
A high temperature expansion is employed to map some complex anisotropic nonhermitian three dimensional Ising models with algebraic long range interactions into a solvable two dimensional variant. Some solutions are presented. This framework further allows for some very simple general observations. It will be seen that the absence of a “phase interference” effect plays an important role in high...
متن کاملMonte Carlo methods for turbulent tracers with long range and fractal random velocity fields.
Monte Carlo methods for computing various statistical aspects of turbulent diffusion with long range correlated and even fractal random velocity fields are described here. A simple explicit exactly solvable model with complex regimes of scaling behavior including trapping, subdiffusion, and superdiffusion is utilized to compare and contrast the capabilities of conventional Monte Carlo procedure...
متن کاملQuantum magnets with anisotropic infinite range random interactions.
Using exact diagonalization techniques, we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be considered as a generalization, to the quantum case, of the well-known Sherrington-Kirkpatrick classical spin glass model. We also compute and study the behavior of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996