One-dimensional large-UHubbard model: An analytical approach

Abstract

The basic properties of the Hubbard chain are systematically studied in the large-U regime by a path-integral formalism. The bare electron (hole) is shown to be a composite particle of two basic excitations, holon and spinon, together with the nonlocal string fields. Both holon and spinon are described by fermions with gapless spectra. Based on these quasiparticles, various correlation functions are analytically derived.

Finite Chains With Quantum Affine Symmetries

“…This implies that the chain is invariant under U q (sl(2)) for any q, in particular it is invariant under the affine U q ( sl(2)) algebra for any q. In U q (sl(2)) one combines U q (sl(2)) with U q −1 (sl (2)). This allows us to understand the degeneracies of the (1.4) chain in terms of finite-dimensional irreducible representations of U q ( sl(2)).…”

Properties of One-Dimensional Strongly Correlated Electrons

“…22 >-z 4 > There is also a new formulation of the problem. 25 > According to Haldane, the Luttinger liquid is the most basic concept to describe low-energy properties of 1D interacting systems just like the concept of Fermi liquid in interacting Fermi particles. …”

Phase String Theory for Doped Antiferromagnets

“…While the leading term of the phase string factor reproduces the correct Fermi momentum k f for the electron system, the fluctuations in ∆Φ i will be responsible for reproducing 9,10 the correct Luttinger liquid behavior known from the large-U Hubbard model. The important connection between the phase string effect and the Luttinger liquid in 1D had been first established previously in a path-integral study 13,14 of the large-U Hubbard model.…”

“…in which for each path c connecting i and j, there is a phase string factor (−1) N ↓ c weighted by W (c; N ↓ c ; E) with W (c; N ↓ c ; E) ≥ 0 (13) at E < E 0 G , whose proof is based on Eq. (9).…”