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Amplitude modes arising from symmetry breaking in materials are of broad interest in condensed matter physics. These modes reflect an oscillation in the amplitude of a complex order parameter, yet are typically unstable and decay into…

Strongly Correlated Electrons · Physics 2018-10-24 Rebecca L. Dally , Yang Zhao , Zhijun Xu , Robin Chisnell , M. B. Stone , Jeffrey W. Lynn , Leon Balents , Stephen D. Wilson

The spin liquid state of the antiferromagnetic Heisenberg model on a triangular lattice is studied within the self-consistent Green's function method. It is shown that the spin excitation spectra is gapless, and ground-state energy per site…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-hai Dong , Shiping Feng

Haldane's seminal work established two fundamentally different types of excitation spectra for antiferromagnetic Heisenberg quantum spin chains: gapped excitations in integer-spin chains and gapless excitations in half-integer-spin chains.…

We study the exact low energy spectra of the spin 1/2 Heisenberg antiferromagnet on small samples of the kagom\'e lattice of up to N=36 sites. In agreement with the conclusions of previous authors, we find that these low energy spectra…

Statistical Mechanics · Physics 2009-10-31 Ch. Waldtmann , H. -U. Everts , B. Bernu , P. Sindzingre , C. Lhuillier , P. Lecheminant , L. Pierre

We study the topological defects in the classical Heisenberg antiferromagnet in two dimensions on a triangular lattice (HAFT). While the topological analysis of the order parameter space indicates that the defects are of $Z_2$ type,…

Condensed Matter · Physics 2009-10-22 M. Wintel , H. U. Everts , W. Apel

The quantitative description of long-range order remains a challenge in quantum many-body physics. We provide zero-temperature results from two complementary methods for the ground-state energy per site, the sublattice magnetization, the…

Strongly Correlated Electrons · Physics 2025-10-24 Nils Caci , Dag-Björn Hering , Matthias R. Walther , Kai P. Schmidt , Stefan Wessel , Götz S. Uhrig

The excitation spectrum of a S=1/2 2D triangular quantum antiferromagnet is studied using 1/S expansion. Due to the non-collinearity of the classical ground state significant and non-trivial corrections to the spin wave spectrum appear…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Andrey V. Chubukov , Alexander G. Abanov

By means of large-scale quantum Monte Carlo simulations, we examine the quantum critical scaling of the magnetic excitation gap (the triplon gap) in a three-dimensional dimerized quantum antiferromagnet, the bicubic lattice, and identify…

Strongly Correlated Electrons · Physics 2017-04-12 Maximilian Lohöfer , Stefan Wessel

Triangular lattice antiferromagnets first attracted attention as a frustrated magnetic lattice which can serve as a platform to realize the resonating valence bond state. While the triangular lattice itself was shown to support classical…

Strongly Correlated Electrons · Physics 2026-05-25 Jazzmin Victorin , Shreenanda Ghosh , Seyed Koohpayeh , Chris Lygouras , Natalia Drichko

With the commutation relations of the spin operators, we first write out the equations of motion of the spin susceptibility and related correlation functions that have a hierarchical structure, then under the "soft cut-off" approximation,…

Strongly Correlated Electrons · Physics 2020-08-25 Yu-Liang Liu

Stimulated by recent experiments on materials representing the realization of the anisotropic Heisenberg spin-$1/2$ model on the triangular lattice, we explore further properties of such a model in the easy-axis regime $\alpha = J_\perp/J_z…

Strongly Correlated Electrons · Physics 2025-10-15 Martin Ulaga , Jure Kokalj , Takami Tohyama , Peter Prelovšek

We report on high-field electron spin resonance (ESR) studies of magnetic excitations in the spin-1/2 triangular-lattice antiferromagnet Cs$_2$CuBr$_4$. Frequency-field diagrams of ESR excitations are measured for different orientations of…

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 use recently proposed four-spin bond-operator technique (BOT) to discuss spectral properties of frustrated spin-$\frac12$ $J_1$--$J_2$ Heisenberg antiferromagnet on square lattice at $J_2<0.4J_1$ (i.e., in the N\'eel ordered phase). This…

Strongly Correlated Electrons · Physics 2019-06-12 A. V. Syromyatnikov , A. Yu. Aktersky

We extend recently proposed variational coupled-cluster method to describe excitation states of quantum antiferromagnetic bipartite lattices. We reproduce the spin-wave excitations (i.e., magnons with spin $\pm 1$). In addition, we obtain a…

Strongly Correlated Electrons · Physics 2009-11-11 Y. Xian

The dynamical structure factor is an important observable of quantum magnets but due to numerical and theoretical limitations, it remains a challenge to make predictions for Hubbard-like models beyond one dimension. In this work, we study…

Strongly Correlated Electrons · Physics 2023-03-01 Josef Willsher , Hui-Ke Jin , Johannes Knolle

Based on the mapping between $s=1/2$ spin operators and hard-core bosons, we extend the cluster perturbation theory to spin systems and study the whole excitation spectrum of the antiferromagnetic $J_{1}$-$J_{2}$ Heisenberg model on the…

Strongly Correlated Electrons · Physics 2018-10-17 Shun-Li Yu , Wei Wang , Zhao-Yang Dong , Zi-Jian Yao , Jian-Xin Li

Motivated by the observation of a gapless spin liquid state in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, we analyze the anisotropic triangular lattice $S=1/2$ Heisenberg model with the resonating valence bond mean-field approximation. Paying…

Strongly Correlated Electrons · Physics 2007-06-13 Yuta Hayashi , Masao Ogata

We present detailed measurement of the non-hydrodynamic part of the spin excitation spectrum in the model quasi-1D S=1 antiferromagnet CsNiCl3 by inelastic magnetic neutron scattering. In the better part of the Brillouin zone the effect of…

Strongly Correlated Electrons · Physics 2010-07-28 I. A. Zaliznyak

A layered triangular lattice with spin-1/2 ions is an ideal platform to explore highly entangled exotic states like quantum spin liquid (QSL). Here, we report a systematic in-field neutron scattering study on a perfect two-dimensional…

Strongly Correlated Electrons · Physics 2024-07-18 Tao Xie , Jie Xing , S. E. Nikitin , S. Nishimoto , M. Brando , P. Khanenko , J. Sichelschmidt , L. D. Sanjeewa , Athena S. Sefat , A. Podlesnyak