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Based on our recently proposed magnon-density-waves using the microscopic many-body approach, we investigate the longitudinal excitations in quantum antiferromagnets by including the second order corrections in the large-$s$ expansion. The…

Strongly Correlated Electrons · Physics 2015-06-18 Y. Xian , M. Merdan

By extending our recently proposed magnon-density-waves to low dimensions, we investigate, using a microscopic many-body approach, the longitudinal excitations of the quasi-one-dimensional (quasi-1d) and quasi-2d Heisenberg…

Strongly Correlated Electrons · Physics 2015-05-28 Y Xian

We investigate the excited states of the quasi-one-dimensional quantum antiferromagnets on hexagonal lattices, including the longitudinal modes based on the magnon-density waves. A model Hamiltonian with a uniaxial single-ion anisotropy is…

Strongly Correlated Electrons · Physics 2015-06-12 M. Merdan , Y. Xian

We investigate the magnon-density waves proposed as the longitudinal excitations in triangular lattice antiferromagnets by including the cubic and quartic corrections in the large-s expansion. The longitudinal excitation spectra for the…

Strongly Correlated Electrons · Physics 2019-09-04 M. Merdan , Y. Xian

High-resolution neutron and THz spectroscopies are used to study the magnetic excitation spectrum of Cs$_2$CoBr$_4$, a distorted-triangular-lattice antiferromagnet with nearly XY-type anisotropy. What was previously thought of as a broad…

Strongly Correlated Electrons · Physics 2023-06-26 L. Facheris , S. D. Nabi , A. Glezer Moshe , U. Nagel , T. Rõõm , K. Yu. Povarov , J. R. Stewart , Z. Yan , A. Zheludev

We use series expansion methods to calculate the dispersion relation of the one-magnon excitations for the spin-1/2 triangular-lattice nearest-neighbor Heisenberg antiferromagnet above a three-sublattice ordered ground state. Several…

Strongly Correlated Electrons · Physics 2009-11-11 Weihong Zheng , John O. Fjaerestad , Rajiv R. P. Singh , Ross H. McKenzie , Radu Coldea

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

Using spin dynamics simulations we predict the splitting of the longitudinal spin wave peak in all antiferromagnets with single site anisotropy into two peaks separated by twice the energy gap at the Brillouin zone center. This phenomenon…

Materials Science · Physics 2009-10-31 Alex Bunker , D. P. Landau

We investigate the excitation spectrum of the triangular-lattice antiferromagnetic $XXZ$ model using series expansions and mean field Schwinger bosons approaches. The single-magnon spectrum computed with series expansions exhibits rotonic…

Strongly Correlated Electrons · Physics 2015-04-24 E. A. Ghioldi , A. Mezio , L. O. Manuel , R. R. P. Singh , J. Oitmaa , A. E. Trumper

We present a finite size spin wave calculation on the Heisenberg antiferromagnet on the triangular lattice focusing in particular on the low-energy part of the excitation spectrum. For s=1/2 the good agreement with the exact diagonalization…

Statistical Mechanics · Physics 2009-10-31 Adolfo E. Trumper , Luca Capriotti , Sandro Sorella

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

Investigation of dynamical excitations is difficult but crucial to the understanding of many exotic quantum phenomena discovered in quantum materials. This is particularly true for highly frustrated quantum antiferromagnets whose dynamical…

Strongly Correlated Electrons · Physics 2022-11-24 Run-Ze Chi , Yang Liu , Yuan Wan , Hai-Jun Liao , T. Xiang

We have explored the magnetic excitation spectrum of the S=1/2 square lattice Heisenberg antiferromagnet, K2V3O8 using both triple-axis and time-of-flight inelastic neutron scattering. The long-wavelength spin waves are consistent with the…

Strongly Correlated Electrons · Physics 2015-06-25 M. D. Lumsden , S. E. Nagler , B. C. Sales , D. A. Tennant , D. F. McMorrow , S. -H. Lee , S. Park

The relaxation function theory for a doped two-dimensional Heisenberg antiferromagnetic system in the paramagnetic state for all wave vectors through the Brillouin zone is presented in view of low frequency response of high-$T_c$ copper…

Superconductivity · Physics 2009-11-13 Igor A. Larionov

Longitudinal magnons are a distinct type of multipolar excitations in magnetic materials with large spins $S\ge 1$ and strong easy-axis anisotropy. These excitations have angular momentum $S^z = \pm 2S$ and can be viewed as a propagating…

Strongly Correlated Electrons · Physics 2026-02-20 A. El Mendili , T. Ziman , M. E. Zhitomirsky

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

Strongly Correlated Electrons · Physics 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

We study ground state properties and excitation spectra for hard-core Bosons on square and triangular lattices, at half filling, using series expansion methods. Nearest-neighbor repulsion between the Bosons leads to the development of…

Strongly Correlated Electrons · Physics 2007-05-23 Tyler Bryant , Rajiv R. P. Singh

We use series expansions to study the excitation spectra of spin-1/2 antiferromagnets on anisotropic triangular lattices. For the isotropic triangular lattice model (TLM) the high-energy spectra show several anomalous features that differ…

Strongly Correlated Electrons · Physics 2009-11-11 Weihong Zheng , John O. Fjaerestad , Rajiv R. P. Singh , Ross H. McKenzie , Radu Coldea

The square-lattice quantum Heisenberg antiferromagnet displays a pronounced anomaly of unknown origin in its magnetic excitation spectrum. The anomaly manifests itself only for short wavelength excitations propagating along the direction…

An ongoing challenge in the study of quantum materials, is to reveal and explain collective quantum effects in spin systems where interactions between different modes types are important. Here we approach this problem through a combined…

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