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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

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

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 spin-1 Ising-Heisenberg diamond chain in a magnetic field is exactly solved by a rigorous treatment based on the transfer-matrix method. An exact ground-state phase diagram includes in total three unconventional quantum ground states…

Statistical Mechanics · Physics 2015-06-19 Nerses Ananikian , Jozef Strecka , Vahan Hovhannisyan

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 spin-1/2 Ising-Heisenberg two-leg ladder accounting for alternating Ising and Heisenberg inter-leg couplings in addition to the Ising intra-leg coupling is rigorously mapped onto to a mixed spin-(3/2,1/2) Ising-Heisenberg diamond chain…

Statistical Mechanics · Physics 2016-08-23 Onofre Rojas , J. Strečka , S. M. de Souza

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

A mixed Ising-Heisenberg spin system consisting of triangular XXZ-Heisenberg spin clusters assembled into a chain by alternating with Ising spins interacting to all three spins in the triangle is considered. The exact solution of the model…

Statistical Mechanics · Physics 2009-11-13 Diana Antonosyan , Stefano Bellucci , Vadim Ohanyan

The ground state and magnetization process of the mixed spin-(1,1/2) Ising diamond chain is exactly solved by employing the generalized decoration-iteration mapping transformation and the transfer-matrix method. The decoration-iteration…

Statistical Mechanics · Physics 2015-06-15 Bohdan Lisnyi , Jozef Strecka

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 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

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

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 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

Spin-1/2 orthogonal-dimer chain composed of regularly alternating Ising and Heisenberg dimers is exactly solved in a presence of the magnetic field by the transfer-matrix method. It is shown that the ground-state phase diagram involves in…

Statistical Mechanics · Physics 2020-09-04 L. Gálisová , J. Strečka , T. Verkholyak , S. Havadej

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

We establish a solvable Heisenberg-Ising model on a spin-1 Ni-containing polymer chain, $[Ni (NN'-dmen) (\mu-N_3)_2]$, with $NN'-dmen$ being $NN'-dimethylethylenediamine$, that fully covers the interaction characteristics of the material…

Materials Science · Physics 2017-11-28 A. Sadrolashrafi , V. Abgaryan , A. Rezvan , N. S. Ananikian

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

We study magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain, whose elementary unit cell consists of two decorating Heisenberg spins and one nodal Ising spin. It is assumed that each couple of the decorating atoms…

Statistical Mechanics · Physics 2021-01-19 N. Ferreira , J. Torrico , S. M. de Souza , O. Rojas , J. Strečka

The Ising model on an alternating triangular lattice with the nearest-neighbor interaction in a magnetic field is presented. Exact solution of this model is found. The thermodynamic quantities, like free energy, specific heat a finite…

Statistical Mechanics · Physics 2014-10-08 Elías Ríos
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