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We consider the antiferromagnetic spin-1/2 $XXZ$ Heisenberg model on a frustrated diamond-chain lattice in a $z$- or $x$-aligned external magnetic field. We use the strong-coupling approach to elaborate an effective description in the…

强关联电子 · 物理学 2015-02-17 Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii , Oleg Derzhko

We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating…

强关联电子 · 物理学 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

The exactly solvable spin-1/2 Ising-Heisenberg distorted diamond chain in the presence of the external magnetic field is investigated for the case of antiferromagnetic Ising and ferromagnetic XXZ Heisenberg interactions. The influence of…

统计力学 · 物理学 2024-07-02 B. M. Lisnyi

We present the results of magnetic properties and entanglement of the distorted diamond chain model for azurite using pure quantum exchange interactions. The magnetic properties and concurrence as a measure of pairwise thermal entanglement…

统计力学 · 物理学 2015-06-04 Nerses Ananikian , Hrachya Lazaryan , Mikayel Nalbandyan

We investigate magnetic properties of the $s$ = 1/2 compound K$_{2}$Cu$_{3}$(MoO$_{4}$)$_{4}$ by combining magnetic susceptibility, magnetization, specific heat, and electron spin resonance (ESR) with density functional calculations. Its…

The mixed spin-(1,1/2) Ising-Heisenberg model on a distorted diamond chain with the spin-1 nodal atoms and the spin-1/2 interstitial atoms is exactly solved by the transfer-matrix method. An influence of the geometric spin frustration and…

统计力学 · 物理学 2016-12-16 Bohdan Lisnyi , Jozef Strecka

The natural mineral azurite Cu3(CO3)2(OH)2 is an interesting spin-1/2 quantum antiferromagnet. Recently, a generalised diamond chain model has been established as a good description of the magnetic properties of azurite with parameters…

强关联电子 · 物理学 2011-04-07 Andreas Honecker , Shijie Hu , Robert Peters , Johannes Richter

We consider the $s=1/2$ transverse field $XY$ model on the frustrated diamond chain, considering anisotropic exchange parameters between nearest-neighbor spins. To this end, we employ three different methodologies: mean-field…

A symmetric spin-1/2 Ising-Heisenberg diamond chain with the Ising four-spin interaction is exactly solved by means of the generalized decoration-iteration mapping transformation. The ground state, the magnetization process and…

统计力学 · 物理学 2013-01-08 Lucia Galisova

We consider a spin-1/2 Ising-XYZ distorted diamond chain with the XYZ interaction between the interstitial Heisenberg dimers, the nearest-neighbor Ising coupling between the nodal and interstitial spins, respectively, and the…

强关联电子 · 物理学 2017-06-28 Onofre Rojas , M. Rojas , S. M. de Souza , J. Torrico , J. Strecka , M. L. Lyra

It is evidenced that effective lattice-gas models of hard-core monomers and dimers afford a proper description of low-temperature features of spin-1/2 Heisenberg diamond and octahedral chains. Besides monomeric particles assigned within the…

统计力学 · 物理学 2022-03-23 J. Strecka , T. Verkholyak , J. Richter , K. Karlova , O. Derzhko , J. Schnack

We study the spin gap of the S=1/2 Heisenberg model on the distorted diamond chain, which is recently proposed to represent magnetic properties of Cu_3 Cl_6 (H_2 O)_2 2H_8 C_4 SO_2. This model is composed of stacked trimers and has three…

强关联电子 · 物理学 2009-10-31 Kazuhiro Sano , Ken'ichi Takano

The $S=1/2$ distorted diamond spin chain with the anisotropic ferromagnetic interaction is investigated using the numerical diagonalization and the level spectroscopy analysis. It is known that the system exhibits a plateau of the…

强关联电子 · 物理学 2022-05-17 Tôru Sakai , Kiyomi Okamoto , Hiroki Nakano , Rito Furuchi

The ground state and the thermodynamics of a spin-1/2 asymmetric diamond Ising--Heisenberg chain are considered. For the $XYZ$ anisotropic Heisenberg interaction, the exact calculations of the free energy, entropy, heat capacity,…

统计力学 · 物理学 2011-12-09 Bohdan Lisnii

We present results on the dynamics of the distorted diamond chain, S=1/2 dimers alternating with single spins 1/2 and exchange couplings $J_1$ and $J_3$ in between. The dynamics in the spin fluid (SF) and tetramer-dimer (TD) phases is…

强关联电子 · 物理学 2009-11-13 H. -J. Mikeska , C. Luckmann

We consider a geometrically frustrated spin-1/2 Ising-Heisenberg diamond chain, which is an exactly solvable model when assuming part of the exchange interactions as Heisenberg ones and another part as Ising ones. A small $XY$ part is…

强关联电子 · 物理学 2015-12-16 Oleg Derzhko , Olesia Krupnitska , Bohdan Lisnyi , Jozef Strecka

We explore, at T=0, the magnetic properties of the $S=1/2$ antiferromagnetic distorted diamond chain described by the Hamiltonian ${\cal H} = \sum_{j=1}^{N/3}{J_1 ({\bi S}_{3j-1} \cdot {\bi S}_{3j} + {\bi S}_{3j} \cdot {\bi S}_{3j+1}) + J_2…

强关联电子 · 物理学 2013-10-15 Kiyomi Okamoto , Takashi Tonegawa , Makoto Kaburagi

We investigate the spin-1/2 Heisenberg model with competing ferromagnetic and antiferromagnetic interactions on diamond-decorated lattices. Tuning the exchange interactions to the boundary of the ferromagnetic phase, we analyze the models…

强关联电子 · 物理学 2026-01-07 D. V. Dmitriev , V. Ya. Krivnov , O. A. Vasilyev

Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. We find…

强关联电子 · 物理学 2025-09-03 Ronja Bärwolf , Alexander Sushchyev , Francesco Parisen Toldin , Stefan Wessel

The magnetization process of the $S=1/2$ distorted diamond spin chain with ferromagnetic interactions is investigated using the numerical diagonalization of finite-size clusters. The level spectroscopy analysis applied for the model with…

强关联电子 · 物理学 2025-05-06 Masaru Hashimoto , Koki Doi , Tomoki Houda , Rito Furuchi , Hiroki Nakano , Kiyomi Okamoto , Tôru Sakai
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