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We elucidate the role of magnon interaction and spontaneous decays in the spin dynamics of the triangular-lattice Heisenberg antiferromagnet by calculating its dynamical structure factor within the spin-wave theory. Explicit theoretical…

Strongly Correlated Electrons · Physics 2016-03-17 M. Mourigal , W. T. Fuhrman , A. L. Chernyshev , M. E. Zhitomirsky

We find evidence for decaying magnons at strong magnetic field in the square lattice spin-1/2 Heisenberg antiferromagnet. The results are obtained using Quantum Monte Carlo simulations combined with a Bayesian inference technique to obtain…

Strongly Correlated Electrons · Physics 2008-11-19 Olav F. Syljuasen

We present a comprehensive study of the dynamical properties of the quantum Heisenberg antiferromagnet on a triangular lattice within the framework of spin-wave theory. The distinct features of spin-wave excitations in the…

Strongly Correlated Electrons · Physics 2022-08-30 A. L. Chernyshev , M. E. Zhitomirsky

We present a comprehensive $1/S$ study of the field-induced dynamical properties of the nearest-neighbor $XXZ$ antiferromagnet on a honeycomb lattice using the formalism of the nonlinear spin-wave theory developed for this model. The…

Strongly Correlated Electrons · Physics 2016-01-15 P. A. Maksimov , A. L. Chernyshev

We study the field dependence of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice by means of exact diagonalizations. In a first part, we calculate the spin-wave velocity, the spin-stiffness, and the magnetic…

Strongly Correlated Electrons · Physics 2009-05-16 Andreas Luscher , Andreas Laeuchli

We study high-field magnon dynamics and examine the dynamical structure factor in the quasi-2D tetragonal Heisenberg antiferromagnet with interlayer coupling corresponding to realistic materials. Within spin-wave theory, we show that a…

Strongly Correlated Electrons · Physics 2012-08-01 W. T. Fuhrman , M. Mourigal , M. E. Zhitomirsky , A. L. Chernyshev

Excitation spectra of square lattice Heisenberg antiferromagnets in magnetic fields are investigated by the spin-wave theory. It is pointed out that a rotonlike structure appears in a narrow range of magnetic fields, as a result of strong…

Strongly Correlated Electrons · Physics 2014-07-23 Yurika Kubo , Susumu Kurihara

A key feature of the newly discovered altermagnet is that its spin degeneracy is lifted, although it has an antiferromagnetic order and zero net magnetization. In this work, we investigate a frustrated spin-1/2 $J_1$-$J_2$-$\delta$…

Strongly Correlated Electrons · Physics 2024-10-22 Yang Liu , Shiqi Shao , Saisai He , Z. Y. Xie , Jia-Wei Mei , Hong-Gang Luo , Jize Zhao

Using a recently developed method for calculating series expansions of the excitation spectra of quantum lattice models, we obtain the spin-wave spectra for square lattice, $S=1/2$ Heisenberg-Ising antiferromagnets. The calculated spin-wave…

Condensed Matter · Physics 2009-10-28 Rajiv R. P. Singh , Martin P. Gelfand

We predict that spin-waves in an ordered square quantum antiferromagnet in a transverse magnetic field (h) may demonstrate three modes of spin excitations. Starting from the self-consistent rotation-invariant Green's function method, a new…

Strongly Correlated Electrons · Physics 2020-12-30 P. S. Savchenkov , A. F. Barabanov

Despite nearly a century of study of the $S=1/2$ Heisenberg model on the square lattice, there is still disagreement on the nature of its high-energy excitations. By tuning toward the Heisenberg model from the exactly soluble Ising limit,…

Strongly Correlated Electrons · Physics 2018-10-03 Ruben Verresen , Frank Pollmann , Roderich Moessner

We have analyzed the two-dimensional antiferromagnetic Heisenberg model on the triangular lattice using a Schwinger boson mean-field theory. By expanding around a state with local $120^\circ$ order, we obtain, in the limit of infinite spin,…

Condensed Matter · Physics 2016-08-31 Ann Mattsson

Quantum magnets in two dimensions display strong quantum interaction effects even when magnetically ordered. Using the metal-organic framework material CuF$_2$(D$_2$O)$_2$(pyz), we investigate the field-dependent spin dynamics of the $S =…

We study the dynamic spin structure factor of the spin-$1/2$ square-lattice Heisenberg antiferromagnet and of the $J$-$Q$ model (with 4-spin interactions $Q$ and Heisenberg exchange $J$). Using an improved method for stochastic analytic…

Strongly Correlated Electrons · Physics 2018-01-03 Hui Shao , Yan Qi Qin , Sylvain Capponi , Stefano Chesi , Zi Yang Meng , Anders W. Sandvik

We present a study of the dynamic structure factor of the antiferromagnetic spin-1/2 Heisenberg chain at finite temperatures and finite magnetic fields. Using Quantum-Monte-Carlo based on the stochastic series expansion and Maximum-Entropy…

Strongly Correlated Electrons · Physics 2009-11-13 S. Grossjohann , W. Brenig

Spontaneous magnon decays in an $S=\frac{1}{2}$ Heisenberg antiferromagnet on the equilateral triangular prism are investigated in terms of modified magnon Green's functions. In one dimension, the so-called infrared divergence prevents us…

Strongly Correlated Electrons · Physics 2025-08-26 Shoji Yamamoto , Jun Ohara

Spin-wave perturbation theory for the Heisenberg antiferromagnet at zero temperature is used to compute the finite-lattice corrections to the ground state energy, the staggered magnetization and the energy gap. The dispersion relation, the…

Condensed Matter · Physics 2009-10-22 Zheng Weihong , C. J. Hamer

The spin-stiffness \rho_s of a 2D Heisenberg antiferromagnet depends non-analytically on external magnetic field. We demonstrate that the hydrodynamic relation between \rho_s, the uniform susceptibility \chi, and the spin-wave velocity $c$…

Strongly Correlated Electrons · Physics 2009-05-02 A. L. Chernyshev , M. E. Zhitomirsky

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…

Strongly Correlated Electrons · Physics 2019-03-13 Shoji Yamamoto , Yusaku Noriki

Spin-singlet orders are studied for the antiferromagnetic Heisenberg model with spin $S$>1/2 on a breathing pyrochlore lattice, where tetrahedron units are weakly coupled and exchange constants have two values $0<J' \ll J$. The ground state…

Strongly Correlated Electrons · Physics 2017-02-16 Hirokazu Tsunetsugu
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