Correlated singlet phase in the one-dimensional Hubbard-Holstein model

Details Correlated singlet phase in the one-dimensional Hubbard-Holstein model Correlated singlet phase in the one-dimensional Hubbard-Holstein model

2011-11-26

arxiv.org/abs/1111.6148v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

We show that a nearest-neighbor singlet phase results (from an effective Hamiltonian) for the one-dimensional Hubbard-Holstein model in the regime of strong electron-electron and electron-phonon interactions and in the non-adiabatic limit ($t/\omega_0 \leq 1$). By mapping the system of nearest-neighbor singlets at a filling $N_p/N$ onto a hard-core-boson (HCB) $t$-$V$ model at a filling $N_p/(N-N_p)$, we demonstrate explicitly that superfluidity and charge-density-wave (CDW) occur mutually exclusively with the diagonal long range order manifesting itself only at one-third filling. Furthermore, we also present numerical evidence that the Bose-Einstein condensate (BEC) fraction for the singlet phase decays faster than the BEC fraction ($ \propto 1/\sqrt{N_p}$) for HCB in a tight binding model.

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