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We present a theory for Raman scattering on 2D quantum antiferromagnets. The microscopic Fleury-Loudon Hamiltonian is expressed in terms of an effective $O(3)$ - model. Well within the N\'eel ordered phase, the Raman spectrum contains a…

Strongly Correlated Electrons · Physics 2015-09-29 S. A. Weidinger , W. Zwerger

We investigate quantum effects on magnon excitations in a minimal spin-1/2 Heisenberg model for 2D altermagnets on the square lattice. A continuous similarity transformation is applied in momentum space to derive an effective Hamiltonian…

Strongly Correlated Electrons · Physics 2025-11-06 Raymond Wiedmann , Dag-Björn Hering , Vanessa Sulaiman , Matthias R. Walther , Kai P. Schmidt , Götz S. Uhrig

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

The notion of a quasiparticle, such as a phonon, a roton, or a magnon, is used in modern condensed matter physics to describe an elementary collective excitation. The intrinsic zero-temperature magnon damping in quantum spin systems can be…

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

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 Heisenberg model for S=1/2 describes the interacting spins of electrons localized on lattice sites due to strong repulsion. It is the simplest strong-coupling model in condensed matter physics with wide-spread applications. Its…

Strongly Correlated Electrons · Physics 2018-01-19 M. Powalski , K. P. Schmidt , G. S. Uhrig

The low-temperature magnetic excitations of the two-dimensional spin-5/2 square-lattice Heisenberg antiferromagnet Rb2MnF4 have been probed using pulsed inelastic neutron scattering. In addition to dominant sharp peaks identified with…

Strongly Correlated Electrons · Physics 2009-11-11 T. Huberman , R. Coldea , R. A. Cowley , D. A. Tennant , R. L. Leheny , R. J. Christianson , C. D. Frost

The magnetic properties of two-dimensional altermagnets can be obtained from a square lattice Heisenberg model with antiferromagetic nearest neighbor interaction and two types of next-nearest neighbor interactions arranged in a checkerboard…

Strongly Correlated Electrons · Physics 2026-01-28 Niklas Cichutek , Peter Kopietz , Andreas Rückriegel

We propose a versatile approach to treat commonly arising constraints. It is illustrated for interacting magnons of the Heisenberg antiferromagnet on a square lattice. For systems of $L\times L$ sites a non-perturbative continuous unitary…

Strongly Correlated Electrons · Physics 2009-11-11 Kai P. Schmidt , Götz S. Uhrig

We study first-order (single-magnon) inelastic light scatterings in spin-$\frac{1}{2}$ two-dimensional quasiperiodic antiferromagnets in comparison with those emergent on periodic lattices. Unlike second-order (two-magnon) Raman scatterings…

Strongly Correlated Electrons · Physics 2026-04-29 Takashi Inoue , Shoji Yamamoto

We investigate two-magnon Raman scattering from the $S=1/2$ Heisenberg antiferromagnet on the triangular lattice, considering both the effect of renormalization of the one-magnon spectrum by 1/S corrections and final-state magnon-magnon…

Strongly Correlated Electrons · Physics 2009-11-13 Natalia Perkins , Wolfram Brenig

We discuss spin-$\frac12$ two-dimensional (2D) Heisenberg antiferromagnet (AF) on a square lattice at T=0 in strong magnetic field H near its saturation value $H_c$. A perturbation approach is proposed to obtain spectrum of magnons with…

Strongly Correlated Electrons · Physics 2009-02-12 A. V. Syromyatnikov

We discuss spin-$\frac12$ Heisenberg antiferromagnet on simple square lattice in magnetic field $H$ using recently proposed bond-operator technique. It is well known that magnetically ordered phases of quantum magnets are well described at…

Strongly Correlated Electrons · Physics 2020-07-15 A. V. Syromyatnikov

We have extended our previous series studies of quantum antiferromagnets at zero temperature by computing the one-magnon dispersion curves and various structure factors for the linear chain, square and simple cubic lattices. Many of these…

Strongly Correlated Electrons · Physics 2009-11-10 Weihong Zheng , J. Oitmaa , C. J. Hamer

Bulk magnetism in solids is fundamentally quantum mechanical in nature. Yet in many situations, including our everyday encounters with magnetic materials, quantum effects are masked, and it often suffices to think of magnetism in terms of…

Strongly Correlated Electrons · Physics 2009-11-13 N. B. Christensen , H. M. Ronnow , D. F. McMorrow , A. Harrison , T. G. Perring , M. Enderle , R. Coldea , L. P. Regnault , G. Aeppli

We use quantum Monte Carlo simulations and numerical analytic continuation to study high-energy spin excitations in the two-dimensional S=1/2 Heisenberg antiferromagnet at low temperature. We present results for both the transverse and…

Strongly Correlated Electrons · Physics 2009-10-31 Anders W. Sandvik , Rajiv R. P. Singh

We study the excitation spectrum of the $S=1/2$ Heisenberg model on the randomly diluted square lattice by analytic continuation of QMC data. At dilution fractions $p=1/16$ and $p=1/8$, the dynamic structure factor $S({\bf q},\omega)$…

Strongly Correlated Electrons · Physics 2025-05-27 Liuyun Dao , Hui Shao , Anders W. Sandvik

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 study theoretically the Raman scattering spectra in the one-dimensional (1D) quantum spin-1/2 antiferromagnets. The analysis reveals that their low-energy dynamics is exquisitely sensitive to various perturbations to the Heisenberg chain…

Strongly Correlated Electrons · Physics 2012-06-06 Masahiro Sato , Hosho Katsura , Naoto Nagaosa
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