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

Abstract

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 under non-adiabatic conditions ($t/{\omega }_0\le 1$). 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 show that the Bose-Einstein condensate (BEC) occupation number $n_0$ for the singlet phase, similar to the $n_0$ for a HCB tight binding model, scales as $\sqrt{N}$; however, the coefficient of $\sqrt{N}$ in the $n_0$ for the interacting singlet phase is numerically demonstrated to be smaller.

Corrected a few references

References in corpus (16)

• Two-dimensional Hubbard-Holstein bipolaron
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Coexistence of Superconductivity and Charge Density Wave in SrPt2As2
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Phase diagram for the one-dimensional Hubbard-Holstein model: A density-matrix renormalization group study
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Competition between antiferromagnetic and charge order in the Hubbard-Holstein model
• Bilayer manganites: polarons in the midst of a metallic breakdown
• Experimental observation of the crystallization of a paired holon state
• Renormalization of the electron-phonon coupling in the one-band Hubbard model
• Charge instabilities and electron-phonon interaction in the Hubbard-Holstein model
• Density matrix renormalization group study of optical conductivity in the one-dimensional Mott insulator Sr_2CuO_3
• Phase diagram of one-dimensional Hubbard-Holstein model at quarter-filling
• Gutzwiller scheme for electrons and phonons: the half-filled Hubbard-Holstein model
• Effects of the electron-phonon coupling near and within the insulating Mott phase
• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory

Cited by in corpus (12)

• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Many-body quantum state diffusion for non-Markovian dynamics in strongly interacting systems
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• A study of cooperative breathing-mode in molecular chains
• Study of decoherence in models for hard-core bosons coupled to optical phonons
• An analysis of the $t_2-V$ model
• Mixed-state phase transitions in spin-Holstein models
• Study of long-range orders of hard-core bosons coupled to cooperative normal modes in two-dimensional lattices
• Study of supersolidity in the two-dimensional Hubbard-Holstein model
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• Phase diagram of Hubbard-Holstein model on 4-leg tube system at quarter-filling