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We study the quasi-one-dimensional limit of the spin-1/2 quantum Heisenberg antiferromagnet on the kagome lattice. The lattice is divided into antiferromagnetic spin-chains (exchange J) that are weakly coupled via intermediate "dangling"…

强关联电子 · 物理学 2008-11-20 Andreas P. Schnyder , Oleg A. Starykh , Leon Balents

We examine the influence of an anisotropic interaction term of Dzyaloshinskii-Moriya (DM) type on the groundstate ordering of the J_1-J_2 spin-1/2-Heisenberg antiferromagnet on the square lattice. For the DM term we consider several…

凝聚态物理 · 物理学 2009-10-28 A. Voigt , J. Richter

Spin-singlet orders are studied for the antiferromagnetic Heisenberg model with spin $S$>1/2 on a breathing pyrochlore lattice, where tetrahedron units are weakly coupled and exchange constants have two values $0<J' \ll J$. The ground state…

强关联电子 · 物理学 2017-02-16 Hirokazu Tsunetsugu

The magnetization process of the spin-S Heisenberg antiferromagnet on the kagome lattice is studied by the numerical-diagonalization method. Our numerical-diagonalization data for small finite-size clusters with S=1, 3/2, 2, and 5/2 suggest…

材料科学 · 物理学 2015-05-27 Hiroki Nakano , Toru Sakai

The phase diagram of a spin-1/2 $J-J'-J_2$ model is investigated by means of exact diagonalizations on finite samples. This model is a generalization of the $J_1-J_2$ model on the square lattice with two different nearest-neighbor couplings…

强关联电子 · 物理学 2009-11-10 Philippe Sindzingre

We study the $S=1/2$ square-kagome lattice Heisenberg antiferromagnet with the trimarized modulation. In the trimerized limit, each trimer hosts the four-fold degenearte ground states characterized by the spin and chirality degrees of…

强关联电子 · 物理学 2025-10-17 Tomonari Mizoguchi

Here we generate finite bipartite body-centred cubic lattices up to 32 vertices. We have studied the spin one half Heisenberg antiferromagnet by diagonalizing its Hamiltonian on each of the finite lattices and hence computing its ground…

凝聚态物理 · 物理学 2009-10-31 D. D. Betts , J. Schulenburg , G. E. Stewart , J. Richter , J. S. Flynn

The ground state of a spin-1/2 Heisenberg chain with both frustration and long-range interactions is studied using Lanczos exact diagonalization. The evolution of the well known dimerization transition of the system with short-range…

强关联电子 · 物理学 2010-05-04 Anders W. Sandvik

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

强关联电子 · 物理学 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

On the triangular lattice, for $J_2/J_1$ between $1/8$ and $1$, the classical Heisenberg model with first and second neighbor interactions presents four-sublattice ordered ground-states. Spin-wave calculations of Chubukov and…

凝聚态物理 · 物理学 2009-10-28 P. Lecheminant , B. Bernu , C. Lhuillier , L. Pierre

The ground state, the entropy and the magnetic Gr\"uneisen parameter of the antiferromagnetic spin-1/2 Ising-Heisenberg model on a double sawtooth ladder are rigorously investigated using the classical transfer-matrix technique. The model…

统计力学 · 物理学 2025-10-07 Hamid Arian Zad , Vadim Ohanyan , Azam Zoshki , Jozef Strečka

We present results from our analysis of the finite-temperature properties of the spin 1/2 $J_{1}$-$J_{2}$ Heisenberg model on a square lattice. The analysis is based on the exact diagonalization of small clusters with 16 and 20 sites…

强关联电子 · 物理学 2009-11-10 Burkhard Schmidt , Peter Thalmeier

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…

强关联电子 · 物理学 2014-01-30 Zheng-Yuan Wang , Shunsuke C. Furuya , Masaaki Nakamura , Ryo Komakura

The spin-S Heisenberg antiferromagnet on the two-dimensional lattice is investigated for S=1/2 and S=1. We consider interaction at isolated dimers ($J_{\rm d}$) and interaction bonds that form the bounce lattice ($J_{\rm b}$). For $J_{\rm…

材料科学 · 物理学 2026-04-28 Hiroki Nakano , Toru Sakai

The ground state (gs) of antiferromagnetically coupled dimers on the Shastry-Sutherland lattice (SSL) stabilizes many exotic phases and has been extensively studied. The gs properties of ferromagnetically coupled dimers on SSL are equally…

强关联电子 · 物理学 2021-12-07 Monalisa Chatterjee , Santanu Pal , Manoranjan Kumar

We study spin-1/2 Heisenberg antiferromagnets on a diamond-like-decorated square lattice. The diamond-like-decorated square lattice is a lattice in which the bonds in a square lattice are replaced with diamond units. The diamond unit has…

统计力学 · 物理学 2018-09-25 Yuhei Hirose , Akihide Oguchi , Masafumi Tamura , Yoshiyuki Fukumoto

The ground state properties of random-exchange spin-1/2 Heisenberg antiferromagnets on the square lattice are investigated using a combination of quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations.…

强关联电子 · 物理学 2007-05-23 Nicolas Laflorencie , Stefan Wessel , Andreas Laeuchli , Heiko Rieger

The spin-$1/2$ Heisenberg antiferromagnet on the square-kagome (SK) lattice has attracted growing attention as a model system of highly frustrated quantum magnetism. A further motivation for theoretical studies comes from the recent…

强关联电子 · 物理学 2023-06-22 Johannes Richter , Jürgen Schnack

We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions…

强关联电子 · 物理学 2015-05-13 Philippe Sindzingre , Nic Shannon , Tsutomu Momoi

We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (S_{i-1}S_{i})(S_{i}S_{i+1})+h.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one is equal…

强关联电子 · 物理学 2012-03-30 Frédéric Michaud , François Vernay , Salvatore R. Manmana , Frédéric Mila