Exact Dynamics of One-Dimensional t-J Model with Long-Range Interaction

Nguyen Minh Khue, Jenő Sólyom

Yusuke S. Kato

We obtain an exact result on single hole dynamics in one-dimensional Mott-insulators through the study on the supersymmetric t-J model with long range interaction at half-filling. We calculate the expression G_{1s1h}(x,t) for one spinon one holon contribution to the hole propagator. We find that G_{1s1h}(x=0,t=0)=3/8, which amounts to 75% of the spin-fixed mean particle density 1/2.

James T. Liu

Yusuke S. Kato

We obtain an exact result on the single-hole dynamics in one-dimensional Mott-Hubbard insulators through a study of the supersymmetric $t\ensuremath{-}J$ model with long-range interaction at half filling. We calculate the expression ${G}_{1s1h}(x,t)$ for the one-spinon one-holon contribution to the hole propagator, which contributes $75%$ of the total spectral weight. The matrix element is independent of the holon momentum. The spectral weight has an inverse square root singularity along the holon band. Comparison with the hole dynamics of the $U\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\ensuremath{\infty}$ Hubbard model is also made.

Yuta Saiga, Mitsuhiro Arikawa, T Yamamoto +1 more

Xiang-Mu Kong, Yang Zhan-Ru

In this paper dynamical critical phenomena of the Gaussian model with long-range interactions decaying as on d-dimensional hypercubic lattices (d = 1, 2, and 3) are studied. First, the critical points are exactly calculated, and it is found that the critical points depend on the value of δ and the range of interactions. Then the critical dynamics is considered. We calculate the time evolutions of the local magnetizations and the spin-spin correlation functions, and further the dynamic critical exponents are obtained. For one-, two- and three-dimensional lattices, it is found that the dynamic critical exponents are all which agrees with the result when only considering nearest neighboring interactions, and that they are all δ if It shows that the dynamic critical exponents are independent of the spatial dimensionality but depend on the value of δ.