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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…

Strongly Correlated Electrons · Physics 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

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…

Strongly Correlated Electrons · Physics 2015-02-17 Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii , Oleg Derzhko

An exactly solvable variant of mixed spin-(1/2,1) Ising-Heisenberg diamond chain is considered. Vertical spin-1 dimers are taken as quantum ones with Heisenberg bilinear and biquadratic interactions and with single-ion anisotropy, while all…

Statistical Mechanics · Physics 2011-03-31 Onofre Rojas , S. M. de Souza , Vadim Ohanyan , Martiros Khurshudyan

The geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is investigated by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and…

Statistical Mechanics · Physics 2009-11-03 Lucia Canova , Jozef Strecka , Tomas Lucivjansky

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

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,…

Statistical Mechanics · Physics 2011-12-09 Bohdan Lisnii

Exact results of a mixed spin-1/2 and spin-1 Ising-Heisenberg diamond chain are obtained applying a generalized decoration-iteration transformation. Depending on the values of external field, exchange parameters and anisotropy, there exist…

Statistical Mechanics · Physics 2015-06-24 Michal Jascur , Jozef Strecka

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…

Statistical Mechanics · Physics 2024-07-02 B. M. Lisnyi

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…

Statistical Mechanics · Physics 2016-12-16 Bohdan Lisnyi , Jozef Strecka

The exactly solvable spin-1/2 Ising-Heisenberg model on diamond chain has been considered. We have found the exact results for the magnetization by using recursion relation method. The existence of the magnetization plateau has been…

Statistical Mechanics · Physics 2014-07-23 N. S. Ananikian , V. V. Hovhannisyan

The spin-1/2 Heisenberg orthogonal-dimer chain is considered within the perturbative strong-coupling approach, which is developed from the exactly solved spin-1/2 Ising-Heisenberg orthogonal-dimer chain with the Heisenberg intradimer and…

Strongly Correlated Electrons · Physics 2016-10-19 Taras Verkholyak , Jozef Strecka

The entanglement quantum properties of a spin-1/2 Ising-Heisenberg model on a symmetrical diamond chain were analyzed. Due to the separable nature of the Ising-type exchange interactions between neighboring Heisenberg dimers, calculation of…

Strongly Correlated Electrons · Physics 2012-06-19 N. S. Ananikian , L. N. Ananikyan , L. A. Chakhmakhchyan , Onofre Rojas

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…

Strongly Correlated Electrons · Physics 2017-06-28 Onofre Rojas , M. Rojas , S. M. de Souza , J. Torrico , J. Strecka , M. L. Lyra

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…

Statistical Mechanics · Physics 2013-01-08 Lucia Galisova

The ground state and thermodynamics of a generalized spin-1/2 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins are calculated exactly using the mapping method based on the decoration-iteration…

Statistical Mechanics · Physics 2015-06-18 Bohdan Lisnyi , Jozef Strecka

Magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain is examined by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and transfer-matrix method.…

Statistical Mechanics · Physics 2009-11-13 J. Strecka , L. Canova , T. Lucivjansky , M. Jascur

Quantum spin-1/2 antiferromagnetic Heisenberg trimerized chain with strong intradimer and weak monomer-dimer coupling constants is studied using the novel many-body perturbation expansion, which is developed from the exactly solved spin-1/2…

Statistical Mechanics · Physics 2021-05-25 Taras Verkholyak , Jozef Strecka

We derive an effective spin Hamiltonian for the one-dimensional half-filled asymmetric ionic Hubbard model with alternating on-site interaction in the limit of strong repulsion. It is shown that the effective Hamiltonian is that of a spin…

Strongly Correlated Electrons · Physics 2016-02-01 Inna Grusha , Mikheil Menteshashvili , George I. Japaridze

The frustrated spin-1/2 Ising-Heisenberg ladder with Heisenberg intra-rung and Ising inter-rung interactions is exactly solved in a longitudinal magnetic field by taking advantage of the local conservation of the total spin on each rung and…

Statistical Mechanics · Physics 2015-06-17 Jozef Strecka , Onofre Rojas , Taras Verkholyak , Marcelo L. Lyra

The spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between the nodal spins is rigorously solved using the transfer-matrix method. Exact results for the ground state, magnetization process and specific heat are…

Statistical Mechanics · Physics 2016-02-04 Vahan Hovhannisyan , Jozef Strecka , Nerses Ananikian
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