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Low energy excitations of the t-J model in 1D and 2D

R. Eder·Y. C. Chen·H. Q. Lin·Y. Ohta·C. T. Shih·T. K. Lee
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Abstract

We present an exact diagonalization study of the low energy singlet and triplet states for both 1D and 2D t-J model. A scan of the parameter ratio J/t shows that for nearly all low energy states in both 1D and 2D the excitation energy takes the linear form E(t,J) = a t + b J. In 1D this is the natural consequence of the factorization of the low energy wave functions, i.e. spin-charge separation. Examination of the low energy eigenstates in 2D shows that in the singlet sector the lowest states are collective modes, which for larger J correspond to `dynamical hole columns', i.e. a periodic modulation of the hole density. This modulation is well reproduced by treating holes as hard-core Bosons with an attractive interaction.

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R. Eder, Y. C. Chen, H. Q. Lin, Y. Ohta, C. T. Shih, T. K. Lee. 1996-07-15. Low energy excitations of the t-J model in 1D and 2D. https://arxiv.org/abs/cond-mat/9607104

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