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Related papers: Exact solutions of few-magnon problems in the spin…

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Few-magnon bound states in quantum spin chains have been long studied and attracted much recent attentions. For a higher-spin ferromagnetic XXZ chain with single-ion anisotropy, several features regarding the evolution of the low-lying…

Strongly Correlated Electrons · Physics 2024-09-10 Xinlan Lou , Jiawei Li , Ning Wu

We study few-magnon excitations in a finite-size spin-$S$ chain with ferromagnetic nearest-neighbor (NN) interaction $J>0$ and antiferromagnetic next-nearest-neighbor (NNN) interaction $J'<0$, in the presence of the single-ion (SI)…

Strongly Correlated Electrons · Physics 2024-05-03 Jiawei Li , Ye Cao , Ning Wu

The two-magnon problem in the $k=-\pi/2$ sector of a \emph{finite-size} spin-1/2 chain with ferromagnetic nearest-neighbor (NN) interaction $(J_1>0)$ and antiferromagnetic next-nearest-neighbor (NNN) interaction $(J_2<0)$ and anisotropy…

Strongly Correlated Electrons · Physics 2025-09-26 Zimeng Li , Ning Wu

Long-lived spin-helix states facilitate the study of non-equilibrium dynamics in quantum magnets. We consider the decay of transverse spin-helices in antiferromagnetic spin-$S$ XXZ chains with single-ion anisostropy. The spin-helix decay is…

Strongly Correlated Electrons · Physics 2026-05-11 Florian Lange , Frank Göhmann , Gerhard Wellein , Holger Fehske

It is evidenced that effective lattice-gas models of hard-core monomers and dimers afford a proper description of low-temperature features of spin-1/2 Heisenberg diamond and octahedral chains. Besides monomeric particles assigned within the…

Statistical Mechanics · Physics 2022-03-23 J. Strecka , T. Verkholyak , J. Richter , K. Karlova , O. Derzhko , J. Schnack

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field which provides for $U_q(sl(2))$ symmetry of the Hamiltonian.…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 V. Fridkin , Yu. Stroganov , D. Zagier

Spin models like the Heisenberg Hamiltonian effectively describe the interactions of open-shell transition-metal ions on a lattice and can account for various properties of magnetic solids and molecules. Numerical methods are usually…

Strongly Correlated Electrons · Physics 2025-06-24 Shadan Ghassemi Tabrizi , Thomas D. Kühne

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

An important step towards a comprehensive understanding of far-from-equilibrium dynamics of quantum many-body systems is the identification of unifying features that are independent of microscopic details of the system. We experimentally…

In this short note we provide two extensions on the recent explicit results on the matrix-product ansatz for the non-equilibrium steady state of a markovianly boundary-driven anisotropic Heisenberg XXZ spin 1/2 chain. We write a…

Statistical Mechanics · Physics 2013-09-05 Tomaz Prosen

We study the dynamics of a spin-1/2 XXZ chain which is initially prepared in a domain-wall state. We compare the results of time-dependent Density Matrix Renormalization Group simulations with those of an effective description in terms of a…

Statistical Mechanics · Physics 2019-08-30 Grégoire Misguich , Nicolas Pavloff , Vincent Pasquier

We investigate the out-of-equilibrium dynamics after a local quench that connects two spin-1/2 XXZ chains prepared in the ground state of the Hamiltonian in different phases, one in the ferromagnetic phase and the other in the critical…

Strongly Correlated Electrons · Physics 2017-01-19 A. L. de Paula , H. Bragança , R. G. Pereira , R. C. Drumond , M. C. O. Aguiar

The spin-1 anisotropic Heisenberg model with a single-ion anisotropy is studied using the Oguchi's pair approximation. Although the theory is developed for lattices with general coordination number, we treat in detail the three-dimensional…

Statistical Mechanics · Physics 2007-05-23 Jan Dely , Jozef Strecka , Lucia Canova

We consider an S=1 Heisenberg chain with strong exchange (Delta) and single--ion uniaxial anisotropy (D) in a magnetic field (B) along the symmetry axis. The low energy spectrum is described by an effective S=1/2 XXZ model that acts on two…

Strongly Correlated Electrons · Physics 2009-11-13 Pinaki Sengupta , Cristian D. Batista

The XXZ model on a square lattice in the presence of a transverse magnetic field is studied within the spin wave theory to investigate the resulting canted antiferromagnet. The small and large field regimes are probed separately both for…

Strongly Correlated Electrons · Physics 2017-07-26 Satyaki Kar , Keola Wierschem , Pinaki Sengupta

Mott insulator plateaus in optical lattices are a versatile platform to study spin physics. Using sites occupied by two bosons with an internal degree of freedom, we realize a uniaxial single-ion anisotropy term proportional to $(S^z)^2$,…

We derive an effective low-energy theory for a ferromagnetic $(2N+1)$-leg spin-$\frac{1}{2}$ ladder with strong $XXZ$ anisotropy $\left|J_{\parallel}^z\right|\ll \left|J_{\parallel}^{xy}\right|$, subject to a kink-like non-uniform magnetic…

Strongly Correlated Electrons · Physics 2017-01-31 Pavel Tikhonov , Efrat Shimshoni

We demonstrate that the exact non-equilibrium steady state of the one-dimensional Heisenberg XXZ spin chain driven by boundary Lindblad operators can be constructed explicitly with a matrix product ansatz for the non-equilibrium density…

Statistical Mechanics · Physics 2015-06-12 D. Karevski , V. Popkov , G. M. Schütz

We study spin transport in the one-dimensional anisotropic S = 1 Heisenberg model. Particular emphasis is given to dynamics at infinite temperature, where current autocorrelations and spatio-temporal correlation functions are obtained by…

Statistical Mechanics · Physics 2019-10-16 Jonas Richter , Niklas Casper , Wolfram Brenig , Robin Steinigeweg

Three-magnon problem for exactly rung-dimerized spin ladder is brought up separately at all total spin sectors. At first a special duality transformation of the $\rm Schr\ddot odinger$ equation is found within general outlook. Then the…

Strongly Correlated Electrons · Physics 2015-05-13 P. N. Bibikov
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