Charge and spin fluctuations in the Hubbard model

A. Sherman

Yasushi Shiina

Yu. M. Vil’k, Liang Chen, A.–M. S. Tremblay

Seiichiro Onari, Ryotaro Arita, Kazuhiko Kuroki +1 more

Peizhi Mai, Seher Karakuzu, Giovanni Balduzzi +2 more

The high-temperature superconducting cuprates are governed by intertwined spin, charge, and superconducting orders. While various state-of-the-art numerical methods have demonstrated that these phases also manifest themselves in doped Hubbard models, they differ on which is the actual ground state. Finite cluster methods typically indicate that stripe order dominates while embedded quantum cluster methods, which access the thermodynamic limit by treating long-range correlations with a dynamical mean field, conclude that superconductivity does. Here, we report the observation of fluctuating spin and charge stripes in the doped single-band Hubbard model using a quantum Monte Carlo dynamical cluster approximation (DCA) method. By resolving both the fluctuating spin and charge orders using DCA, we demonstrate for the first time that they survive in the doped Hubbard model in the thermodynamic limit. This discovery also provides a new opportunity to study the influence of fluctuating stripe correlations on the model's pairing correlations within a unified numerical framework.

Norikazu Tomita

Quantum fluctuations in the one dimensional (ID) doped Hubbard model are described by superposition of optimized non-orthogonal Slater determinants. It is explicitly shown that the spin and charge fluctuations are mostly separated as spinons and holons in the strong interaction regime, while the fluctuations due to the spin-charge pled states become important in the weak and intermediate interaction regimes