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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 quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella

Recent studies indicate that the weakly coupled spin-1/2 Heisenberg antiferromagnet with next nearest neighbor frustration supports massive spinons when suitably tuned. The straightforward SU(N) generalization of the low energy ladder…

Condensed Matter · Physics 2009-11-10 M. J. Bhaseen , A. M. Tsvelik

The transition from dimerized to uniform phases is studied in terms of spectral weights for spin chains using continuous unitary transformations (CUTs). The spectral weights in the S=1 channel are computed perturbatively around the limit of…

Strongly Correlated Electrons · Physics 2009-11-07 Kai P. Schmidt , Götz S. Uhrig

Inelastic neutron scattering is used to identify single-particle and continuum spin excitations in the quasi-one-dimensional $S=1/2$ antiferromagnet \ba. In the data analysis, close attention is given to resolution effects. A gap in the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Zheludev , M. Kenzelmann , S. Raymond , T. Masuda , K. Uchinokura , S. -H. Lee

We investigate the excitation spectra of a spin-1/2 antiferromagnetic Heisenberg trimer spin chain by employing a combination of numerical and theoretical techniques. Utilizing the Krylov-space correction-vector method in density matrix…

Strongly Correlated Electrons · Physics 2025-01-17 Junli Li , Jun-Qing Cheng , Trinanjan Datta , Dao-Xin Yao

Static and dynamic structure factors of Heisenberg ferrimagnetic spin chains are numerically investigated. There exist two distinct branches of elementary excitations, which exhibit ferromagnetic and antiferromagnetic aspects. The…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto , Toru Sakai

Spin transport properties of the one-dimensional Heisenberg antiferromagnetic spin systems for both $S=1/2$ and S=1 are studied by applying twisted boundary magnetic field. The spin current displays significantly different behavior of the…

Strongly Correlated Electrons · Physics 2009-11-11 Wei Zhuo , Xiaoqun Wang , Yupeng Wang

We study a model of two weakly coupled isotropic spin-1/2 Heisenberg chains with an antiferromagnetic coupling along the chains. It is shown that the system always has a spectral gap. For the case of identical chains the model in the…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. A. Nersesyan , A. M. Tsvelik

We use series expansions to study the excitation spectra of spin-1/2 antiferromagnets on anisotropic triangular lattices. For the isotropic triangular lattice model (TLM) the high-energy spectra show several anomalous features that differ…

Strongly Correlated Electrons · Physics 2009-11-11 Weihong Zheng , John O. Fjaerestad , Rajiv R. P. Singh , Ross H. McKenzie , Radu Coldea

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

We study the antiferromagnetic spin-half Heisenberg ladder in the presence of an additional frustrating rung spin which is motivated and relevant also for the description of real two-dimensional materials such as the two-dimensional trimer…

Strongly Correlated Electrons · Physics 2021-03-17 Andreas Weichselbaum , Weiguo Yin , Alexei M. Tsvelik

The $S=1/2$ antiferromagnetic Heisenberg chain is a paradigmatic quantum system hosting exotic excitations such as spinons and solitons, and forming random singlet state in the presence of quenched disorder. Realizing and distinguishing…

We present a series expansion study of spin-S square-lattice Heisenberg antiferromagnets. The numerical data are in excellent agreement with recent neutron scattering measurements. Our key result is that the correlation length for S>1/2…

Condensed Matter · Physics 2009-10-28 N. Elstner , A. Sokol , R. R. P. Singh , M. Greven , R. J. Birgeneau

We investigate the scaling properties of the excitation energies and transition amplitudes of the one-dimensional spin-$1\over 2$ antiferromagnetic Heisenberg model exposed to an external perturbation. Two types of perturbations are…

Strongly Correlated Electrons · Physics 2009-10-31 A. Fledderjohann , M. Karbach , K. -H. Mütter

The topological classification of a series of frustration-induced spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with next-nearest-neighbour interaction reported in J. Phys. Soc. Jpn. 82,…

Strongly Correlated Electrons · Physics 2016-01-11 Kazuo Hida

We study ground-state properties of the Heisenberg frustrated spin chain with interactions up to fourth nearest neighbors by the exact-diagonalization method and the density matrix renormalization group method. We find that ferrimagnetism…

Strongly Correlated Electrons · Physics 2011-11-30 Tokuro Shimokawa , Hiroki Nakano

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

A simple intuitive picture of spin-Peierls antiferromagnets arises from regarding the elementary excitations as S=1/2 solitons. In a strictly one-dimensional system these excitations are assumed not to form bound-states and to be repelled…

Strongly Correlated Electrons · Physics 2009-10-31 E. Sorensen , I. Affleck , D. Augier , D. Poilblanc

Results are presented for spin-wave dispersions in geometrically frustrated stacked triangular antiferromagnets with a thin film or semi-infinite geometry having either zero, easy-plane, or easy-axis anisotropy. Surface effects on the…

Materials Science · Physics 2009-11-13 E. Meloche , M. L. Plumer , C. M. Pinciuc