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We present a theoretical investigation of the magnetic and thermodynamic properties of the triangular spin-1/2 cluster with Dzyaloshinskii-Moriya (DM) interaction, described by a spin-1/2 Heisenberg Hamiltonian with antisymmetric exchange…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Jordana Torrico , Romulo A. Silva , S. M. de Souza , Onofre Rojas

Stimulated by recent experiments on materials representing the realization of the anisotropic Heisenberg spin-$1/2$ model on the triangular lattice, we explore further properties of such a model in the easy-axis regime $\alpha = J_\perp/J_z…

Strongly Correlated Electrons · Physics 2025-10-15 Martin Ulaga , Jure Kokalj , Takami Tohyama , Peter Prelovšek

The two-dimensional spin-gap system ${\rm SrCu_2(BO_3)_2}$ shows unique physical properties due to the low-dimensionality character and the strong quantum fluctuations. Experimentally, 1/8-, 1/4-, and 1/3-plateaus have been observed in the…

Strongly Correlated Electrons · Physics 2009-11-10 Shin Miyahara , Federico Becca , Frederic Mila

The magnetization process of the spin-1/2 antiferromagnetic XXZ model with Ising-like anisotropy in the ground state is investigated. We show numerically that the Ising-like XXZ models on square and cubic lattices show a first-order phase…

Statistical Mechanics · Physics 2016-08-31 Masanori Kohno , Minoru Takahashi

In the presence of a magnetic field frustrated spin systems may exhibit plateaus at fractional values of saturation magnetization. Such plateau states are stabilized by classical and quantum mechanisms including order-by-disorder, triplon…

Materials Science · Physics 2017-05-10 Linda Ye , Takehito Suzuki , Joseph. G. Checkelsky

We study the low-energy properties and, in particular, the magnetization process of a spin-1/2 Heisenberg $J_1-J_2$ sawtooth and frustrated chain (also known as zig-zag ladder) with a spatially anisotropic $g$-factor. We treat the problem…

Strongly Correlated Electrons · Physics 2020-07-01 Alexandros Metavitsiadis , Christina Psaroudaki , Wolfram Brenig

Magnetic and thermodynamic properties of the anisotropic XYZ spin-1/2 finite chain under both homogeneous and inhomogeneous magnetic fields are theoretically studied at low temperature. Using exact diagonalization method (ED), we study the…

Statistical Mechanics · Physics 2019-10-01 Hamid Arian Zad , Azam Zoshki , Moones Sabeti

We clarify the existence of several magnetization plateaux for the kagome $S=1/2$ antiferromagnetic Heisenberg model in a magnetic field. Using approximate or exact localized magnon eigenstates, we are able to describe in a similar manner…

Strongly Correlated Electrons · Physics 2013-10-30 Sylvain Capponi , Oleg Derzhko , Andreas Honecker , Andreas M. Läuchli , Johannes Richter

The magnetization process of the $S=3/2$ quantum spin chain with the $XXZ$ anisotropy and the single-ion anisotropy $D$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. We…

Strongly Correlated Electrons · Physics 2025-05-13 Tomohide Kawatsu , Haruto Suzuki , Masaru Hashimoto , Koki Doi , Tomoki Houda , Rito Furuchi , Hiroki Nakano , Kiyomi Okamoto , Tôru Sakai

A spin-1/2 Ising-Heisenberg branched chain constituted by regularly alternating Ising spins and Heisenberg dimers involving an additional side branching is exactly solved in a magnetic field by the transfer-matrix method. The spin-1/2…

Statistical Mechanics · Physics 2021-10-18 Jozef Strecka , Katarina Karlova , Azadeh Ghannadan

Motivated by the ever-increasing experimental effort devoted to the properties of frustrated quantum magnets in a magnetic field, we present a careful and detailed theoretical analysis of a one-dimensional version of this problem, a…

Strongly Correlated Electrons · Physics 2007-05-23 J. -B. Fouet , F. Mila , D. Clarke , H. Youk , O. Tchernyshyov , P. Fendley , R. M. Noack

The magnetization process of the S=3/2 antiferromagnetic Heisenberg chain with the single-ion anisotropy D at T=0 is investigated by the exact diagonalization of finite clusters and finite-size scaling analyses. It is found that a…

Statistical Mechanics · Physics 2016-08-31 Toru Sakai , Minoru Takahashi

We use large scale quantum Monte Carlo simulations to study an extended version of the canonical Shastry-Sutherland model -- including additional interactions and exchange anisotropy -- over a wide range of interaction parameters and an…

Strongly Correlated Electrons · Physics 2013-05-21 Keola Wierschem , Pinaki Sengupta

The stability of the magnetization $m=1/3$ plateau phase of the XXZ spin-1/2 Heisenberg chain with competing interactions is investigated upon switching on a staggered transverse magnetic field. Within a bosonization approach, it is shown…

Strongly Correlated Electrons · Physics 2009-11-10 P. Lecheminant , E. Orignac

A star-triangle mapping transformation is used to establish an exact correspondence between the spin-1/2 Ising model on the Shastry-Sutherland (orthogonal-dimer) lattice and respectively, the spin-1/2 Ising model on a bathroom tile (4-8)…

Statistical Mechanics · Physics 2007-05-23 Jozef Strecka

We study the modular symmetry in four-dimensional low-energy effective field theory, which is derived from type IIB magnetized D-brane models and type IIA intersecting D-brane models. We analyze modular symmetric behaviors of perturbative…

High Energy Physics - Theory · Physics 2019-12-06 Tatsuo Kobayashi , Satoshi Nagamoto , Shohei Uemura

We calculate the dynamical structure factors of the magnetization-plateau state in the $S=1/2$ bond-alternating spin chain with a next-nearest-neighbor interaction. The results show characteristic behaviors depending on the…

Strongly Correlated Electrons · Physics 2009-11-07 Nobuyasu Haga , Sei-ichiro Suga

Volborthite offers an interesting example of a highly frustrated quantum magnet in which ferromagnetic and antiferromagnetic interactions compete on anisotropic kagome lattices. A recent density functional theory calculation has provided a…

Strongly Correlated Electrons · Physics 2020-03-03 Shunsuke Furukawa , Tsutomu Momoi

The magnetization process of the $S=1/2$ anisotropic spin ladder with the ferromagnetic rung interaction is investigated using the numerical diagonalization of finite-size clusters. It is found that the translational symmetry broken…

Strongly Correlated Electrons · Physics 2025-05-06 Tôru Sakai , Koki Doi , Kiyomi Okamoto , Kouichi Okunishi , Masaru Hashimoto , Tomoki Houda , Rito Furuchi , Hiroki Nakano

The double-tetrahedral chain in a longitudinal magnetic field, whose nodal lattice sites occupied by the localized Ising spins regularly alternate with triangular plaquettes with the dynamics described by the Hubbard model, is rigorously…

Strongly Correlated Electrons · Physics 2017-11-08 Lucia Galisova
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