Ising t-J model close to half filling: A Monte Carlo study

Abstract

Within the recently proposed doped-carrier representation of the projected lattice electron operators we derive a full Ising version of the t-J model. This model possesses the global discrete Z_2 symmetry as a maximal spin symmetry of the Hamiltonian at any values of the coupling constants, t and J. In contrast, in the spin anisotropic limit of the t-J model, usually referred to as the t-J_z model, the global SU(2) invariance is fully restored at J_z=0, so that only the spin-spin interaction has in that model the true Ising form. We discuss a relationship between those two models and the standard isotropic t-J model. We show that the low-energy quasiparticles in all three models share the qualitatively similar properties at low doping and small values of J/t. The main advantage of the proposed Ising t-J model over the t-J_z one is that the former allows for the unbiased Monte Carlo calculations on large clusters of up to 10^3 sites. Within this model we discuss in detail the destruction of the antiferromagnetic order by doping as well as the interplay between the AF order and hole mobility. We also discuss the effect of the exchange interaction and that of the next nearest neighbour hoppings on the destruction of the AF order at finite doping. We show that the short-range AF order is observed in a wide range of temperatures and dopings, much beyond the boundaries of the AF phase. We explicitly demonstrate that the local no double occupancy constraint plays the dominant role in destroying the magnetic order at finite doping. Finally, a role of inhomogeneities is discussed.

24 pages, 10 figures

References in corpus (31)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• Complexity in Strongly Correlated Electronic Systems
• Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
• Missing Quasiparticles and the Chemical Potential Puzzle in the Doping Evolution of the Cuprate Superconductors
• Single hole dynamics in the t-J model on a square lattice
• Dynamical properties of the single--hole $t$--$J$ model on a 32--site square lattice
• Thermodynamics of the two-dimensional Falicov-Kimball model: a classical Monte Carlo study
• Quasiparticle energy dispersion in doped two dimensional quantum antiferromagnets
• Dispersion of a single hole in the t-J model
• Holes in the t-J_z model: a thorough study
• Theory for Slightly Doped Antiferromagnetic Mott Insulators
• Inhomogeneity-induced enhancement of the pairing interaction in cuprates
• Numerical approach to low-doping regime of the t-J model
• Magnetism and superconductivity in the $t-t^{\prime }-J$ model
• Dynamical Properties of a Single Hole in an Antiferromagnet
• Control of the finite size corrections in exact diagonalization studies
• Temperature dependence of the angle resolved photoemission spectra in the undoped cuprates: self-consistent approach to the t-J-Holstein model
• Doped carrier formulation and mean-field theory of the tt't''J model
• Basis Set Reduction Applied to the Two Dimensional t-Jz Model
• New mean field theory of the tt't''J model applied to the high-Tc superconductors
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model
• Stripe as an effective one-dimensional band of composite excitations
• Single Hole Green's Functions in Insulating Copper Oxides at Nonzero Temperature
• Quantum Monte Carlo simulations of the t-Jz model with stripes on the square lattice
• Doped carrier formulation of the t-J model: the projection constraint and the effective Kondo-Heisenberg lattice representation
• Stripes in the Ising Limit of Models for the Cuprates
• Resonating Valence Bond Theory of Superconductivity for Dopant Carriers: Application to the Cobaltates
• Edge States in Doped Antiferromagnetic Nano-Structures
• Single-hole properties in the $t$-$J$ and strong-coupling models
• Evolution of Neel order and localized spin moment in the doped two-dimensional Hubbard model

Cited by in corpus (4)

• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• The Ising version of the t-J model
• Quantum Monte Carlo study of the itinerant-localized model of strongly correlated electrons: Spin-spin correlation functions
• Minimal energy ensemble Monte Carlo for the partition function of fermions coupled to classical fields