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Materials Today Proceedings

Electronic and magnetic correlations in quantum entanglement of 1D Extended Hubbard Model

T. Akroud, Said Harir, A. Zouhair, Y. Boughaleb

Published Jan 1, 2022• 0 citations
Publisher
DOI
10.1016/j.matpr.2022.05.547

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•Oct 1, 2021•0 citations
We show that the Abelian bosonization of the continuum limit of the one-dimensional (1D) Hubbard model corresponds to the two-dimensional (2D) explicitly conformally invariant Gaussian model in the weak coupling limit. A universality argument is used to extend the equivalence to an entire segment of the critical line of the strongly correlated electron system. An integral equation satisfied by the mapping function between critical lines of the 1D Hubbard model and 2D Gaussian model is obtained and then solved in some limiting cases. By making use of the fact that the free Hubbard system reduces to four fermions and each of them is related to a c=1/2 conformal field theory, we present exactly the partition function of the Hubbard model on a finite 1D lattice.
In quantum materials, the electronic interaction and the electron-phonon coupling are in general two essential ingredients, the combined impact of which may drive exotic phases. Recently, an anomalously strong electron-electron attraction, mediated by phonons, has been unveiled in one-dimensional (1D) copper-oxide chain compound. Yet it is unclear how this strong near-neighbor (NN) attraction VVV influences the superconductivity pairing. In this work, we employ the density-matrix renormalization group (DMRG) method to study this experiment-relevant extended Hubbard model with on-site Coulomb repulsion U>0U>0U>0 and NN attraction V<0V<0V<0, relevant for the 1D cuprate chain and likely other similar transition-metal materials. We find this extended ttt-UUU-VVV model hosts a rich quantum phase diagram consisting of the spin density wave phase, phase separation phases, the Tomonaga-Luttinger liquid (TLL) phase, and especially an intriguing TLL regime with divergent superconducting susceptibility and dominant spin-triplet pair correlations. Upon doping, such a spin-triplet pairing regime can be further broadened in the parameter space and extends to larger UUU. Our results show robust triplet pairing induced by attractive interaction VVV, offering a feasible mechanism to realize ppp-wave superconductivity in 1D cuprates.