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

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

1996-07-15

arxiv.org/abs/cond-mat/9607104v1

Physics

Condensed Matter

Revtex-file, 4 PRB pages with 5 embedded eps figures. Hardcopies of figures (or the entire manuscript) may be obtained also by

Scientific paper

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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