Physics of Particles and Nuclei Letters

Local spin magnetization around the Zn ion which is doped in the CuO2 plane

Zlata Kovačević

Published Sep 1, 2007• 0 citations

Abstract

The local static spin susceptibility at neighbor sites from vacant Cu in the CuO 2 plane was obtained. Calculations were performed using one of the variants of the memory function method. Charge-transfer and spin-flip correlation functions were expressed in the framework of the T-matrix formalism in terms of the corresponding Green functions for the ideal t-J model on the square lattice.

DOI: 10.1134/s154747710705010x

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Physics of Particles and Nuclei Letters

Local spin magnetization around the Zn ion which is doped in the CuO2 plane

Zlata Kovačević

Published Sep 1, 2007• 0 citations

Publisher

Abstract

DOI: 10.1134/s154747710705010x

Related papers

Local magnetic moments induced by a nonmagnetic impurity in the two-dimensional t−J model

Satoru Odashima, H. Matsumoto

Local magnetic moments induced by a nonmagnetic impurity in the two-dimensional $t\ensuremath{-}J$ model are investigated by use of a Green function method in a finite-size system (50\ifmmode\times\else\texttimes\fi{}50=2500 sites). Local electron number and nearest-neighbor correlation functions are calculated self-consistently at each lattice point. A local electron number distribution shows that electrons form a bound state around an impurity site and the magnitude of the local moment is enhanced, whereas doped holes can be distributed only apart from the impurity site and destroy an antiferromagnetic spin configuration by their motion. This result is consistent with experimental results of Zn-doped high- ${T}_{c}$ superconductors.Local magnetic moments induced by a nonmagnetic impurity in the two-dimensional $t\ensuremath{-}J$ model are investigated by use of a Green function method in a finite-size system (50\ifmmode\times\else\texttimes\fi{}50=2500 sites). Local electron number and nearest-neighbor correlation functions are calculated self-consistently at each lattice point. A local electron number distribution shows that electrons form a bound state around an impurity site and the magnitude of the local moment is enhanced, whereas doped holes can be distributed only apart from the impurity site and destroy an antiferromagnetic spin configuration by their motion. This result is consistent with experimental results of Zn-doped high-${T}_{c}$ superconductors.

Physical review. B, Condensed matterJul 1, 199716 citations

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We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic t - J Heisenberg model on the honeycomb lattice. Employing a generalized mean-field approximation for arbitrary temperatures and hole dopings, the electronic spectrum of excitations, the spin-excitation spectrum and thermodynamic quantities (two-spin correlation functions, staggered magnetization, magnetic susceptibility, correlation length) are calculated by solving a coupled system of self-consistency equations for the correlation functions. The temperature and doping dependence of the magnetic (uniform static) susceptibility is ascribed to antiferromagnetic short-range order. Our results on the doping dependencies of the magnetization and susceptibility are analyzed in comparison with previous results for the t - J model on the square lattice.We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic t - J Heisenberg model on the honeycomb lattice. Employing a generalized mean-field approximation for arbitrary temperatures and hole dopings, the electronic spectrum of excitations, the spin-excitation spectrum and thermodynamic quantities (two-spin correlation functions, staggered magnetization, magnetic susceptibility, correlation length) are calculated by solving a coupled system of self-consistency equations for the correlation functions. The temperature and doping dependence of the magnetic (uniform static) susceptibility is ascribed to antiferromagnetic short-range order. Our results on the doping dependencies of the magnetization and susceptibility are analyzed in comparison with previous results for the t - J model on the square lattice.

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Magnetic Properties of t-J Model

Tetsufumi Tanamoto, Kazuhiro Kuboki, Hidetoshi Fukuyama

The dynamical spin susceptibility χ( q , ω), of the t-J model in two-dimensional square lattice have been studied based on the mean field approximation to the slave-boson formalism. The static spin susceptibility, χ( q , 0), and Im χ( q , ω) at various energy, ω, have been calculated. We found; 1) χ(0, 0) has only weak temperature dependence 2) T 1 T ∝( T +θ) for $T\gtrsim0.1{J}$ with θ linearly dependent on the doping rate, δ 3) T 1 T has a minimum at T =(0.1∼0.2) J 4) Im χ( q , ω) at q = Q ≡(π, π) has a gap like structure as a function of ω if the temperature is low. All these are consistent with experimental results.The dynamical spin susceptibility χ( q , ω), of the t-J model in two-dimensional square lattice have been studied based on the mean field approximation to the slave-boson formalism. The static spin susceptibility, χ( q , 0), and Im χ( q , ω) at various energy, ω, have been calculated. We found; 1) χ(0, 0) has only weak temperature dependence 2) T 1 T ∝( T +θ) for $T\gtrsim0.1{J}$ with θ linearly dependent on the doping rate, δ 3) T 1 T has a minimum at T =(0.1∼0.2) J 4) Im χ( q , ω) at q = Q ≡(π, π) has a gap like structure as a function of ω if the temperature is low. All these are consistent with experimental results.

Journal of the Physical Society of JapanDec 15, 199182 citations

{T}_{c}

superconductors.

Different roles of Zn

^{2+}

and Li

^{+}

impurities in the CuO

_2

plane in undoped cuprate compounds

A planar Mott insulator with easy plane Néel order can be mapped onto a Gutzwiller-projected spin Hall state. The in-plane substitution of Zn

^{2+}

and Li

^{+}

for Cu

^{2+}

brings zero modes around the spin vacancy. The Gutzwiller projection precludes single particle excitations, however, preserves the zero modes which have a local spin moment for Zn

^{2+}

and a local charged hole for Li

^{+}

, respectively. While the local spin moment for Zn

^{2+}

is screened by the long-range spin correlations, the active charge degree of freedom for Li

^{+}

impurity twists the spin background with long ranged disturbances. This proposal explains the very different roles of the Zn

^{2+}

and Li

^{+}

impurities on the magnetic perturbations in the CuO

_2

plane in the undoped cuprate compounds.

T\gtrsim0.1{J}

with θ linearly dependent on the doping rate, δ 3) T 1 T has a minimum at T =(0.1∼0.2) J 4) Im χ( q , ω) at q = Q ≡(π, π) has a gap like structure as a function of ω if the temperature is low. All these are consistent with experimental results.