Theory of spin and charge fluctuations in the Hubbard model
Y. M. Vilk, Liang Chen, and A.-M. S. Tremblay (D\'epartment de, physique, Centre de recherche en physique du solide. Universit\'e de, Sherbrooke, Sherbrooke, Qu\'ebec, Canada)
TL;DR
This paper develops a self-consistent theoretical framework for spin and charge fluctuations in the Hubbard model, matching Monte Carlo data and capturing effects relevant to high-temperature superconductors.
Contribution
It introduces a conserving, comprehensive theory that includes quantum and thermal fluctuations, three-particle correlations, and addresses the Mott transition in the Hubbard model.
Findings
Quantitative agreement with Monte Carlo data up to intermediate coupling
Identification of a small energy scale related to thermal fluctuations in 2D
Inclusion of three-particle correlations for Mott transition insights
Abstract
A self-consistent theory of both spin and charge fluctuations in the Hubbard model is presented. It is in quantitative agreement with Monte Carlo data at least up to intermediate coupling . It includes both short-wavelength quantum renormalization effects, and long-wavelength thermal fluctuations which can destroy long-range order in two dimensions. This last effect leads to a small energy scale, as often observed in high temperature superconductors. The theory is conserving, satisfies the Pauli principle and includes three-particle correlations necessary to account for the incipient Mott transition.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.