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We study the dynamical structure factor of the frustrated spin-$3/2$ $J_1$-$J_2$ Heisenberg chains, with particular focus on the partially dimerized phase that emerges between two Kosterlitz-Thouless transitions. Using a valence bond solid…

Strongly Correlated Electrons · Physics 2025-09-04 Aman Sharma , Mithilesh Nayak , Natalia Chepiga , Frédéric Mila

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

Using quantum Monte Carlo, exact diagonalization and perturbation theory, we study the spectrum of the $S=1/2$ antiferromagnetic Heisenberg trimer chain by varying the ratio $g=J_2/J_1$ of the intertrimer and intratrimer coupling strengths.…

Strongly Correlated Electrons · Physics 2022-01-13 Jun-Qing Cheng , Jun Li , Zijian Xiong , Han-Qing Wu , Anders W. Sandvik , Dao-Xin Yao

Within the Dyson-Maleev boson formalism, we study the zero-temperature magnon dispersions in a family of one-dimensional quantum Heisenberg ferrimagnets composed of two different spins $(S_1,S_2)$ in the elementary cell. It is shown that…

Strongly Correlated Electrons · Physics 2009-10-31 N. B. Ivanov

For coupled-dimer magnets with quenched disorder, we introduce a generalization of the bond-operator method, appropriate to describe both singlet and magnetically ordered phases. This allows for a numerical calculation of the magnetic…

Strongly Correlated Electrons · Physics 2013-09-11 Matthias Vojta

Interactions between elementary excitations in quasi-one dimensional antiferromagnets are of experimental relevance and their quantitative theoretical treatment has been a theoretical challenge for many years. Using matrix product states,…

Strongly Correlated Electrons · Physics 2016-06-22 Laurens Vanderstraeten , Jutho Haegeman , Frank Verstraete , Didier Poilblanc

From general arguments, that are valid for spin models with sufficiently short-range interactions, we derive strong constraints on the excitation spectrum across a continuous phase transition at zero temperature between a magnetic and a…

Strongly Correlated Electrons · Physics 2009-11-11 Leonardo Spanu , Federico Becca , Sandro Sorella

Making the assumption that high energy fermions exist in the two dimensional spin-1/2 Heisenberg antiferromagnet we present predictions based on the pi-flux ansatz for the dynamic structure factor when the antiferromagnet is subject to a…

Strongly Correlated Electrons · Physics 2009-11-07 Olav F. Syljuasen , Patrick A. Lee

Using results on the mass gap in the sine-Gordon model combined with the exact amplitudes in the bosonized representation of the Heisenberg spin-1/2 chain and one-loop renormalization group, we derive a quantitative expression for the gap…

Strongly Correlated Electrons · Physics 2007-05-23 Edmond Orignac

We analyze the stability of the spontaneously dimerized spin-liquid phase of the frustrated Heisenberg antiferromagnet - the J1-J2 model. The lowest triplet excitation, corresponding to breaking of a singlet bond, is found to be stable in…

Strongly Correlated Electrons · Physics 2009-10-31 Valeri N. Kotov , J. Oitmaa , Oleg P. Sushkov , Zheng Weihong

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

In a previous paper [Phys. Rev. B 85,195144 (2012)], variational Monte Carlo method (based on Gutzwiller projected states) was generalized to $S=1$ systems. This method provided very good trial ground states for the gapped phases of $S=1$…

Strongly Correlated Electrons · Physics 2014-08-18 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

Magnetic excitations in the spin chain candidate Sr$_2$V$_3$O$_9$ have been investigated by inelastic neutron scattering on a single crystal sample. A spinon continuum with a bandwidth of $\sim22$ meV is observed along the chain formed by…

We discuss spin-$S$ antiferromagnetic Heisenberg chains with three-spin interactions, next-nearest-neighbor interactions, and bond alternation. First, we prove rigorously that there exist parameter regions of the exact dimerized ground…

Strongly Correlated Electrons · Physics 2014-01-30 Zheng-Yuan Wang , Shunsuke C. Furuya , Masaaki Nakamura , Ryo Komakura

We report the neutron scattering results on magnetic orderings and excitations in $\mathrm{Ba}_2\mathrm{CoTeO}_6$ composed of two almost isolated subsystems A and B, which are described as an $S\,{=}\,1/2$ triangular Heisenberg-like…

Strongly Correlated Electrons · Physics 2022-02-09 Yuki Kojima , Nobuyuki Kurita , Hidekazu Tanaka , Kenji Nakajima

We show that even when spins and orbitals disentangle in the ground state, spin excitations are renormalized by the local tuning of $e_g$ orbitals in ferromagnetic planes of K$_2$CuF$_4$ and LaMnO$_3$. As a result, dressed spin excitations…

Strongly Correlated Electrons · Physics 2019-03-04 Mateusz Snamina , Andrzej M. Oleś

We present several different calculations pertaining to the nature of the low-energy excitations of the site-diluted S=1/2 Heisenberg antiferromagnet, in particular at the percolation point. We present a picture of excitations originating…

Strongly Correlated Electrons · Physics 2011-04-26 Ling Wang , Anders W. Sandvik

Motivated by the rich phase diagrams recently unveiled in frustrated spin-1 chains with competing next-nearest neighbour and four-spin interactions, we investigate the nature of the elementary excitations of spin-1 chains in the vicinity of…

Strongly Correlated Electrons · Physics 2022-06-09 Laurens Vanderstraeten , Elisabeth Wybo , Natalia Chepiga , Frank Verstraete , Frédéric Mila

The introduction of modified bond-defects in spin-Peierls systems is investigated in a model of antiferromagnetic Heisenberg spin chains coupled to adiabatic phonons. Generically, new low-energy magnetic or non-magnetic excitations appear…

Statistical Mechanics · Physics 2009-10-31 D. Augier , J. Riera , D. Poilblanc

The excitation spectrum of the frustrated spin-$1/2$ Heisenberg chain is reexamined using variational and exact diagonalization calculations. We show that the overlap matrix of the short-range resonating valence bond states basis can be…

Strongly Correlated Electrons · Physics 2014-10-29 Arthur Lavarélo , Guillaume Roux