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We investigate the quantum spin-1/2 zigzag chain with frustrated $J_1$-$J_2$ Heisenberg interactions, incorporating additional off-diagonal exchange interactions known as the $\Gamma$ term, both with and without an applied magnetic field.…

Strongly Correlated Electrons · Physics 2024-08-02 Hidehiro Saito , Chisa Hotta

The isotropic S=1/2 antiferromagnetic spin ladder with additional four-spin ring exchange is studied perturbatively in the strong coupling regime with the help of cluster expansion technique, and by means of bosonization in the weak…

Strongly Correlated Electrons · Physics 2009-11-07 M. Mueller , T. Vekua , H. -J. Mikeska

The spin-1/2 Heisenberg octahedral chain with regularly alternating monomeric and square-plaquette sites is investigated using various analytical and numerical methods: variational technique, localized-magnon approach, exact diagonalization…

Statistical Mechanics · Physics 2017-06-21 Jozef Strecka , Johannes Richter , Oleg Derzhko , Taras Verkholyak , Katarina Karlova

The mixed spin-1/2 and spin-1 Ising-Heisenberg ferromagnet on the decorated triangular lattice consisting of inter-connected diamonds is investigated within the framework of an exact decoration-iteration mapping transformation. It is shown…

Statistical Mechanics · Physics 2008-07-25 Michal Jascur , Jozef Strecka , Lucia Canova

We investigate magnetic and thermodynamic properties of a spin-1 Heisenberg diamond chain in a magnetic field using a combination of analytical and numerical methods including the variational approach, exact diagonalization, density-matrix…

Statistical Mechanics · Physics 2025-10-22 Azam Zoshki , Hamid Arian Zad , Katarina Karlova , Jozef Strecka

We revisit the phase diagram of the dimerized XXZ spin-$\frac{1}{2}$ chain with nearest-neighbor couplings which was studied numerically in Phys. Rev. B 106, L201106 (2022). The model has isotropic $XY$ couplings which have a uniform value…

Strongly Correlated Electrons · Physics 2025-05-20 Harsh Nigam , Ashirbad Padhan , Diptiman Sen , Tapan Mishra , Subhro Bhattacharjee

We examine a chain of periodic arrays of 4 quantum spins with magnitudes of 1/2, 1, 3/2 and 1. There are four kinds of nearest-neighbour exchange parameters among them. We choose two independent parameters for concreteness: one represents…

Strongly Correlated Electrons · Physics 2009-10-31 Ken'ichi Takano

The ground-state phases of alternating-bond spin-1 diamond chains are investigated. Each ground state consists of an array of spin clusters separated by singlet dimers owing to an infinite number of local conservation laws. If no singlet…

Strongly Correlated Electrons · Physics 2020-01-31 Kazuo Hida

The ground-state phase diagram of a spin-1/2 XXZ chain with competing ferromagnetic nearest-neighbor (J_1<0) and antiferromagnetic second-neighbor (J_2>0) exchange couplings is studied by means of the infinite time evolving block decimation…

Strongly Correlated Electrons · Physics 2012-09-14 Shunsuke Furukawa , Masahiro Sato , Shigeki Onoda , Akira Furusaki

We explore the phase diagram of the Kitaev-Heisenberg model with nearest neighbor interactions on the honeycomb lattice using the exact diagonalization of finite systems combined with the cluster mean field approximation, and supplemented…

Strongly Correlated Electrons · Physics 2017-02-01 Dorota Gotfryd , Juraj Rusnačko , Krzysztof Wohlfeld , George Jackeli , Jiří Chaloupka , Andrzej M. Oleś

We study the dimer $XXZ$ spin model on two-leg ladders with isotropic Heisenberg interactions on the rung and anisotropic $XXZ$ interactions along the rail in an external field. Combining both analytical and numerical methods, we set up the…

Quantum Gases · Physics 2013-12-13 Qi-Hui Chen , Long-Fei Guo , Peng Li

A new kind of spin-1 chain Hamiltonian consisting of competing dimer and trimer projection operators is proposed. As the relative strengths and signs of the interactions are varied, the model exhibits a number of different phases including…

Strongly Correlated Electrons · Physics 2017-10-17 Yun-Tak Oh , Hosho Katsura , Hyunyong Lee , Jung Hoon Han

Using Lanczos exact diagonalization (ED), we study the spin-1/2 $J_1$-$J_2$ Heisenberg model with the four-spin ring-exchange interaction $J_r$ on triangular lattice. We mainly use the level spectroscopic technique of two 36-site tori to…

Strongly Correlated Electrons · Physics 2025-10-28 Yuchao Zheng , Muwei Wu , Dao-Xin Yao , Han-Qing Wu

The ground state phase diagram of the alternating spin-1/2 chains with anisotropic ferromagnetic coupling under the influence of a symmetry breaking transverse magnetic field is studied. We have used the exact diagonalization technique. In…

Strongly Correlated Electrons · Physics 2008-03-31 Saeed Mahdavifar , Alireza Akbari

We study here different regions in phase diagrams of the spin-1/2, spin-1 and spin-3/2 one dimensional antiferromagnetic Heisenberg systems with frustration (next-nearest-neighbor interaction $J_2$) and dimerization ($\delta$). In…

Strongly Correlated Electrons · Physics 2013-02-21 V. M. L. Durga Prasad Goli , Shaon Sahoo , S. Ramasesha , Diptiman Sen

The symmetric spin-1/2 Ising-Heisenberg diamond chain with different Land\'e g-factors of Ising and Heisenberg spins is exactly solved by combining the generalized decoration-iteration transformation and transfer-matrix method. The ground…

Statistical Mechanics · Physics 2015-06-23 Lucia Galisova

Studies of competing orders in 1D magnetic chains have attracted considerable attention in recent years, as the presence of long-range Heisenberg interactions is found to allow interesting quantum phase transitions. We investigate here the…

Strongly Correlated Electrons · Physics 2020-11-25 E. Vernek , O. Ávalos-Ovando , S. E. Ulloa

Exchange interactions between isolated pairs of spin centers in diamond have been calculated, based on an accurate atomistic electronic structure for diamond and any impurity atoms, for spin-center separations up to 2~nm. The exchange…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 V. R. Kortan , C. Şahin , M. E. Flatté

We investigate the ground-sate phase diagram of the XXZ version of the S=1/2 distorted diamond chain by use of the degenerate perturbation theory near the truncation point. In case of the XY-like interaction anisotropy, the phase diagram…

Statistical Mechanics · Physics 2013-10-15 Kiyomi Okamoto , Yutaka Ichikawa

The spin-1/2 Ising-Heisenberg model on a diamond-decorated square lattice exhibits an intriguing temperature-driven phase transition in a magnetic field between a classical ferrimagnetic phase and a quantum monomer-dimer phase. A…

Statistical Mechanics · Physics 2023-08-25 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker