Virginia TechEder, R.Chen, Y. C.Lin, H. Q.Ohta, Y.Shih, C. T.Lee, T. K.2014-02-112014-02-111997-05-01Eder, R ; Chen, YC ; Lin, HQ ; et al., May 1, 1997. "Systematic scaling in the low-energy excitations of the t-J model in one and two dimensions," PHYSICAL REVIEW B 55(18): 12313-12317. DOI: 10.1103/PhysRevB.55.123130163-1829http://hdl.handle.net/10919/25421We present an exact diagonalization study of the low-energy singlet and triplet states for both the one-dimensional (1D) and 2D t-J models. A scan of the parameter ratio J/t shows that for most low-energy states in both 1D and 2D the excitation energy takes the form E(t,J)=a . t+b . J. In 1D this is the natural conse quence of the factorization of the low-energy wave functions, i.e., spin-charge separation. Examination of the low-energy eigenstates in 2D shows that most of these are collective modes, which for larger J correspond to a periodic modulation of the hole density. The modulation is well reproduced by treating holes as hard-core bosons with an attractive interaction.en-USIn Copyrightcharge dynamicshubbard-modelphase-diagramspinseparationstatePhysicsArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevB.55.12313https://doi.org/10.1103/PhysRevB.55.12313