Modified Spin-Wave Theory for the Frustrated Heisenberg Antiferromagnet on a Square Lattice

Wu, You; Chen, Yuan

doi:10.1142/s0217979213500215

Cited by 5 publications

(1 citation statement)

References 30 publications

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“…Nishimori and Saika 54 followed to introduce the TDD-MHFISW scheme and claim that a Néel-type long-range order consisting of either two or four sublattices should survive the strong frustration. While there are analytic 55 and numerical 56,57 MSW calculations of static properties at finite temperatures as well, the TDD-MWDISW thermodynamics of this model is never yet revealed. Such calculation is not only intriguing in itself but may also give a piece of information otherwise unavailable.…”

Section: Summary and Discussionmentioning

confidence: 99%

Spin-wave thermodynamics of square-lattice antiferromagnets revisited

Yamamoto

Noriki

2019

Phys. Rev. B

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Modifying the conventional spin-wave theory in a novel manner based on the Wick decomposition, we present an elaborate thermodynamics of square-lattice quantum antiferromagnets. Our scheme is no longer accompanied by the notorious problem of an artificial transition to the paramagnetic state inherent in modified spin waves in the Hartree-Fock approximation. In the cases of spin 1 2 and spin 1, various modified-spin-wave findings for the internal energy, specific heat, static uniform susceptibility, and dynamic structure factor are not only numerically compared with quantum Monte Carlo calculations and Lanczos exact diagonalizations but also analytically expanded into low-temperature series. Modified spin waves interacting via the Wick decomposition provide reliable thermodynamics over the whole temperature range of absolute zero to infinity. Adding higher-order spin couplings such as ring exchange interaction to the naivest Heisenberg Hamiltonian, we precisely reproduce inelastic-neutron-scattering measurements of the high-temperature-superconductor-parent antiferromagnet La2CuO4. Modifying Dyson-Maleev bosons combined with auxiliary pseudofermions also yields thermodynamics of square-lattice antiferromagnets free from thermal breakdown, but it is less precise unless temperature is sufficiently low. Applying all the schemes to layered antiferromagnets as well, we discuss the advantages and disadvantages of modified spin-wave and combined boson-pseudofermion representations.arXiv:1903.03769v1 [cond-mat.str-el] 9 Mar 2019. (8) We further define some functions of p,where E (2) is the classical ground-state energy and E (l≤1) are its O(S l ) quantum corrections,

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Section: Summary and Discussionmentioning

confidence: 99%

Spin-wave thermodynamics of square-lattice antiferromagnets revisited

Yamamoto

Noriki

2019

Phys. Rev. B

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Influence of next-nearest neighbor interaction on low temperature properties of the spin-1/2 one-dimensional ferromagnetic XY model

Yin

Chen

2015

Int. J. Mod. Phys. B

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In this paper, we apply spin-wave theory to the one-dimensional spin-1/2 ferromagnetic XY model with the next-nearest neighbor interaction. The thermodynamic divergences which the conventional spin-wave theory encounters with, are solved by implementing Takahashi’s idea through introducing a Lagrange multiplier in the Hamiltonian to keep zero magnetization. It is shown that the next-nearest neighbor interaction has an influence on the ground-state and low temperature properties of the system. The exponential laws which are induced by the next-nearest neighbor interaction, are found for heights of maxima of the specific heat and its coefficient, as well as the maximum and minimum of the susceptibility coefficient. The maximum positions of the specific heat and its coefficient fit well to the linear and exponential laws under the next-nearest neighbor interaction, respectively.

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Effects of frustration and cyclic exchange on the spin-1/2 Heisenberg antiferromagnet within the self-consistent spin-wave theory

Rutonjski

Pavkov-Hrvojević

Berović

2016

Int. J. Mod. Phys. B

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The relevance of the quasi-two-dimensional spin-1/2 frustrated quantum antiferromagnet due to its possibility of modelling the high-temperature superconducting parent compounds has resulted in numerous theoretical and experimental studies. This paper presents a detailed research of the influence of the varying exchange interactions on the model magnetic properties within the framework of self-consistent spin-wave theory based on Dyson-Maleev representation. Beside the nearest neighbour interaction within the plane, the planar frustration up to the third nearest neighbours, cyclic interaction and the interlayer coupling are taken into account. The detailed description of the elementary spin excitations, staggered magnetization, spin-wave velocity renormalization factor and groundstate energy is given. The results are compared to the predictions of the linear spin-wave theory and when possible also to the second-order perturbative spinwave expansion results. Finally, having at our disposal improved experimental results for the in-plane spin-wave dispersion in high-T c copper oxide La 2 CuO 4 , the self-consistent spin-wave theory is applied to that compound in order to correct earlier obtained set of exchange parameters and high temperature spin-wave dispersion. (Milica S. Rutonjski ) interaction, Quasi-two-dimensional antiferromagnetic copper oxides a c x y z J 2 J 3 J c J J Figure 1: (Color online) Magnetic unit cell (bold solid line) of 3D antiferromagnet with exchange interactions labeled. Two different orientations of spins are denoted by open and solid circles.

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Modified Spin-Wave Theory for the Frustrated Heisenberg Antiferromagnet on a Square Lattice

Cited by 5 publications

References 30 publications

Spin-wave thermodynamics of square-lattice antiferromagnets revisited

Spin-wave thermodynamics of square-lattice antiferromagnets revisited

Influence of next-nearest neighbor interaction on low temperature properties of the spin-1/2 one-dimensional ferromagnetic XY model

Effects of frustration and cyclic exchange on the spin-1/2 Heisenberg antiferromagnet within the self-consistent spin-wave theory

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