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}.

10 pages, 10 figures, revtex

References in corpus (6)

• Numerical approach to low-doping regime of the t-J model
• Phase separation in the particle-hole asymmetric Hubbard model
• The itinerant ferromagnetic phase of the Hubbard model
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model
• Bipolaron in the t-J model coupled to longitudinal and transverse quantum lattice vibrations
• Stripes, topological order, and deconfinement in a planar t-Jz model

Cited by in corpus (3)

• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
• The Ising version of the t-J model