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The fermion representation for S = 1/2 spins is generalized to spins with arbitrary magnitudes. The symmetry properties of the representation is analyzed where we find that the particle-hole symmetry in the spinon Hilbert space of S =1/2…

Strongly Correlated Electrons · Physics 2011-02-28 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

Nonreciprocal spin-wave propagation in bilayer ferromagnetic systems has attracted significant attention due to its potential to precisely quantify material parameters as well as for applications in magnonic logic and information…

Mesoscale and Nanoscale Physics · Physics 2025-05-07 C. Heins , V. Iurchuk , O. Gladii , L. Körber , A. Kákay , J. Fassbender , K. Schultheiss , H. Schultheiss

We investigate the spin-1/2 $J_1-J_2$ triangular-lattice Heisenberg antiferromagnet in a magnetic field by combining large-scale density matrix renormalization group (DMRG) simulations with self-consistent spin-wave theory. The resulting…

Strongly Correlated Electrons · Physics 2025-12-03 Anna Keselman , Xinyuan Xu , Hao Zhang , Cristian D. Batista , Oleg A. Starykh

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

Nearest-neighbor spin correlations are considered near the surface of a semi-infinite spin-$\frac12$ Heisenberg antiferromagnet on a simple cubic lattice. In the spin-wave approximation, the excitation spectrum of this model involves bulk…

Strongly Correlated Electrons · Physics 2015-05-13 N. Voropajeva , A. Sherman

We study the 1-dimensional Heisenberg antiferromagnet with s=1/2 using a Majorana representation of the s=1/2 spins. A simple Hartree-Fock approximation of the resulting model gives a bilinear fermionic description of the model. This…

Condensed Matter · Physics 2016-08-31 B. Sriram Shastry , Diptiman Sen

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

Large-$S$ and large-$N$ theories (spin value $S$ and spinor component number $N$) are complementary, and sometimes conflicting, approaches to quantum magnetism. While large-$S$ spin-wave theory captures the correct semiclassical behavior,…

Strongly Correlated Electrons · Physics 2019-10-02 Shang-Shun Zhang , E. A. Ghioldi , Yoshitomo Kamiya , L. O. Manuel , A. E. Trumper , C. D. Batista

In this paper we generalize the fermionic representation for $S=1/2$ spins to arbitrary spins. Within a mean field theory we obtain several spin liquid states for spin $S=1$ antiferromagnets on triangular lattices, including gapless f-wave…

Strongly Correlated Electrons · Physics 2010-06-11 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

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

The magnetic excitation spectrum in the two-dimensional (2D) S=1/2 Heisenberg antiferromagnet copper deuteroformate tetradeuterate (CFTD) has been measured for temperatures up to T\sim J/2, where J=6.31+-0.02 meV is the 2D exchange…

The electron spin resonance spectrum of a quasi 1D S=1/2 antiferromagnet K2CuSO4Br2 was found to demonstrate an energy gap and a doublet of resonance lines in a wide temperature range between the Curie--Weiss and Ne\`{e}l temperatures. This…

Strongly Correlated Electrons · Physics 2015-10-28 A. I. Smirnov , T. A. Soldatov , K. Yu. Povarov , M. Hälg , W. E. A. Lorenz , A. Zheludev

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 roton-like dip in the magnon dispersion at the boundary of the Brillouin zone in the isotropic S=1/2 Heisenberg quantum antiferromagnet. This high-energy feature is sometimes seen as indication of a fractionalization of the…

Strongly Correlated Electrons · Physics 2015-06-15 Goetz S. Uhrig , Kingshuk Majumdar

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

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

The spectral properties of itinerant 2D systems with (nearly) ferromagnetic ground state are studied within the spin-fermion and the classical s-d exchange models. While the former model describes the effect of collective magnetic…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Katanin , V. Yu. Irkhin

We investigate magnetic excitations in the $S=1$ easy-plan-type triangular antiferromagnets CsFeCl$_{3}$ and RbFeCl$_{3}$ through a combination of inelastic neutron scattering measurements and spin-wave theory calculations based on an…

Strongly Correlated Electrons · Physics 2021-09-17 L. Stoppel , S. Hayashida , Z. Yan , A. Podlesnyak , A. Zheludev

The search for elementary excitations with fractional quantum numbers is a central challenge in modern condensed matter physics. We explore the possibility in a realistic model for several materials, the spin-1/2 spatially anisotropic…

Strongly Correlated Electrons · Physics 2009-03-23 Masanori Kohno , Oleg A. Starykh , Leon Balents

Starting from the $CP^{N-1}$ model description of the thermally disordred phase of the $D=2$ quantum antiferromagnet, we examine the interaction of the Schwinger-boson spin-1/2 mean-field excitations with the generated gauge (chirality)…

Condensed Matter · Physics 2009-10-22 Oleg Starykh , George Reiter