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The square lattice spin-1/2 antiferromagnet containing a dilute concentration, $\delta$, of randomly placed ferromagnetic nearest-neighbor bonds is studied at low-temperature via non-linear $\sigma$-model techniques and by exact…

Condensed Matter · Physics 2009-10-22 J. P. Rodriguez , J. Bonca , J. Ferrer

A recent article [Phys. Rev. X 15, 011047 (2025)] utilizes group-equivariant convolutional neural networks to study the ground state of the kagome Heisenberg antiferromagnet. On the largest finite-size cluster studied to date ($N=108$), the…

Strongly Correlated Electrons · Physics 2026-05-29 Helia Kamal , Dominik Kufel , DinhDuy Vu , Chris R. Laumann , Norman Y. Yao

The antiferromagnetic Heisenberg chain is expected to have an extended symmetry, [SU(2)xSU(2)]/Z 2 , in the infrared limit, whose physical interpretation is that the spin and dimer order parameters form the components of a common…

Strongly Correlated Electrons · Physics 2018-07-18 Pranay Patil , Emanuel Katz , Anders W. Sandvik

Both the Haldane spin chain and a topologically dimerized chain feature topologically protected edge states that are expected to be robust against some kind of noise. To elucidate whether it might be feasible to create such edge states in…

Strongly Correlated Electrons · Physics 2024-07-04 Alexander Sattler , Maria Daghofer

The spin-$\frac{1}{2}$ delta-chain (sawtooth chain) with antiferromagnetic Heisenberg basal chain and Ising apical-basal interactions is studied. The basal-apical interactions involve the bond alternation. The limiting cases of the model…

Strongly Correlated Electrons · Physics 2018-12-31 D. V. Dmitriev , V. Ya. Krivnov

We study magnetic and critical properties of the alternating spin antiferromagnetic Heisenberg chain with $S=1/2$ and 1 in a magnetic field at T=0. The numerical diagonalization is applied to the system up to $2N=20$ sites. Checking…

Statistical Mechanics · Physics 2009-10-30 T. Kuramoto

We use the coupled cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-1/2 moments on an infinite spatially anisotropic kagome lattice of corner-sharing…

Strongly Correlated Electrons · Physics 2012-12-05 P. H. Y. Li , R. F. Bishop , C. E. Campbell , D. J. J. Farnell , O. Götze , J. Richter

The effect of anisotropy in the nearest-neighbor spin interactions that couple $N\geq 2$ consecutive spin-1/2 antiferromagnetic chains is studied theoretically by considering the limit where the coupling is purely of the Ising type. An…

Condensed Matter · Physics 2009-10-30 J. P. Rodriguez , P. D. Sacramento , V. R. Vieira

We report $^{63}$Cu nuclear magnetic resonance and muon spin rotation measurements on the S=1/2 antiferromagnetic Heisenberg spin chain compound Sr$_{1.9}$Ca$_{0.1}$CuO$_3$. An exponentially decreasing spin-lattice relaxation rate 1/T$_1$…

Strongly Correlated Electrons · Physics 2014-05-21 F. Hammerath , E. M. Brüning , S. Sanna , Y. Utz , N. S. Beesetty , R. Saint-Martin , A. Revcolevschi , C. Hess , B. Büchner , H. -J. Grafe

We study the Heisenberg spin-1/2 model on a semi-infinite chain - or, equivalently, a trotterized unitary SU(2) symmetric six-vertex quantum circuit - with a boundary defect where the interaction between the two spins nearest the edge…

Statistical Mechanics · Physics 2026-03-19 Tomaž Prosen

Linear Heisenberg antiferromagnets (HAFs) are chains of spin-$S$ sites with isotropic exchange $J$ between neighbors. Open and periodic boundary conditions return the same ground state energy in the thermodynamic limit, but not the same…

Strongly Correlated Electrons · Physics 2016-10-19 Dayasindhu Dey , Manoranjan Kumar , Zoltán G. Soos

Spin-1/2 Heisenberg antiferromagnetic chains are excellent one-dimensional platforms for exploring quantum magnetic states and quasiparticle fractionalization. Understanding its quantum magnetism and quasiparticle excitation at the atomic…

Mesoscale and Nanoscale Physics · Physics 2025-02-24 Xuelei Su , Zhihao Ding , Ye Hong , Nan Ke , KaKing Yan , Can Li , Yifan Jiang , Ping Yu

We consider the fully anisotropic Heisenberg spin-1/2 antiferromagnet in a uniform magnetic field, whose ground-state is characterized by broken spin rotation symmetry and gapped spinon excitations. We expand on a recent mean-field approach…

Strongly Correlated Electrons · Physics 2009-11-10 R. Hagemans , J. -S. Caux , U. Loew

We consider a quasi-one-dimensional system of spin-1 Heisenberg antiferromagnetic chains in 2D and 3D hypercubic lattices with interchain coupling $J$ and uniaxial single-ion anisotropy $D$. Using large scale numerical simulations, we map…

Strongly Correlated Electrons · Physics 2014-06-24 Keola Wierschem , Pinaki Sengupta

We study a frustrated antiferromagnetic isotropic Heisenberg $S=1$ chain using a variational ansatz and the DMRG. At $\alpha_D=0.284(1)$, there is a disorder point of the second kind, marking the onset of incommensurate correlations in the…

Condensed Matter · Physics 2009-10-28 A. Kolezhuk , R. Roth , U. Schollwoeck

Quasi-one-dimensional quantum antiferromagnets formed by a d-dimensional hypercubic lattice of weakly coupled spin-1/2 antiferromagnetic Heisenberg chains are studied by combining exact results in one-dimension and renormalization group…

Strongly Correlated Electrons · Physics 2009-10-28 Ziqiang Wang

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 study the spin-1/2 antiferromagnetic Heisenberg chain in both uniform and (perpendicular) staggered magnetic fields using the density-matrix renormalization-group method. This model has been shown earlier to describe the physics of the…

Strongly Correlated Electrons · Physics 2009-11-07 Jizhong Lou , Shaojin Qin , Changfeng Chen , Zhaobin Su , Lu Yu

We study the spectrum and the nature of the excitations of an antiferromagnetic (AFM) Heisenberg chain with staggered long range interactions, both numerically using the time-dependent density matrix renormalization group (tDMRG) method and…

Strongly Correlated Electrons · Physics 2021-01-15 Luhang Yang , Adrian E. Feiguin

We study weakly coupled antiferromagnetic spin chains in their ordered phase by combinining an exact solution of the single-chain problem with an RPA analysis of the interchain interaction. A single chain is described by a quantum…

Strongly Correlated Electrons · Physics 2009-10-30 Fabian H. L. Essler , Alexei M. Tsvelik , Gesulado Delfino