Effective approach to the Nagaoka regime of the two dimensional t-J model

Abstract

We argue that the t-J model and the recently proposed Ising version of this model give the same physical picture of the Nagaoka regime for J/t << 1. In particular, both models are shown to give compatible results for a single Nagaoka polaron as well as for a Nagaoka bipolaron. When compared to the standard t-J or t-Jz models, the Ising version allows for a numerical analysis on much larger clusters by means of classical Monte Carlo simulations. Taking the advantage of this fact, we study the low doping regime of t-J model for J/t << 1 and show that the ground state exhibits phase separation into hole-rich ferromagnetic and hole-depleted antiferromagnetic regions. This picture holds true up to a threshold concentration of holes, δ< δ_t ~ 0.44 \sqrt{J/t}. Analytical calculations show that δ_t=\sqrt{J/2πt}.

arXiv comment10 pages, 10 figures, revtex

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Cited by in corpus (11)

• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
• Two holes in the t-J model form a bound state for any nonzero J/t
• The Ising version of the t-J model
• Functional renormalization group for extremely correlated electrons
• Local properties of the t-J model in a two-pole approximation within COM
• Bad Metal Behavior and Lifshitz Transition of a Nagaoka Ferromagnet
• Ferromagnetic clouds caused by hole motion in a one-dimensional $t$-$J$ mode
• Itinerant magnetism in Hubbard models with long-range interactions
• Unfrustrating the t-J Model: d-wave BCS Superconductivity in the $t^{\prime }$-$J_z$-$V$ Model