# Reentrant phenomenon in the exactly solvable mixed spin‐1/2 and spin‐1 Ising–Heisenberg model on diamond‐like decorated planar lattices

@article{anov2010ReentrantPI, title={Reentrant phenomenon in the exactly solvable mixed spin‐1/2 and spin‐1 Ising–Heisenberg model on diamond‐like decorated planar lattices}, author={Lucia {\vC}anov{\'a} and Jozef Stre{\vc}ka}, journal={physica status solidi (b)}, year={2010}, volume={247} }

Ground‐state and finite‐temperature behaviour of the mixed spin‐1/2 and spin‐1 Ising–Heisenberg model on decorated planar lattices consisting of inter‐connected diamonds is investigated by means of the generalised decoration–iteration mapping transformation. The obtained exact results clearly point out that this model has a rather complex ground state composed of two unusual quantum phases, which is valid regardless of the lattice topology as well as the spatial dimensionality of the…

## 17 Citations

On the Reentrant Transitions and Magnetization Plateaus in the Spin-1/2 Ising–Heisenberg Model on Diamond-Like Decorated Bethe Lattices

- Physics
- 2013

A critical behavior and magnetization process of the frustrated spin-1/2 Ising–Heisenberg model on diamond-like decorated Bethe lattices is examined within the framework of the decoration–iteration…

Magnetic properties of the spin‐1/2 Ising–Heisenberg diamond chain with the four‐spin interaction

- Physics
- 2013

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,…

Frustration phenomenon in the spin-1/2 Ising-Heisenberg planar model of inter-connected trigonal bipyramid structures.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2019

Ground-state and finite-temperature properties of the exactly solvable mixed spin-1/2 Ising-Heisenberg planar model composed of identical trigonal bipyramids that are arranged into a regular…

Ground States of Spin-1/2 Heisenberg Antiferromagnets with Frustration on a Diamond-Like-Decorated Square Lattice

- Physics
- 2016

We study the ground-state phase diagram of a Heisenberg model with spin S = 1/2 on a diamond-like-decorated square lattice. A diamond unit has two types of antiferromagnetic exchange interactions,…

Ground-state properties of spin-1/2 Heisenberg antiferromagnets with frustration on the diamond-like-decorated square and triangular lattices

- PhysicsAIP Advances
- 2018

We study the ground-state phase diagrams and properties of spin-1/2 Heisenberg models on the diamond-like-decorated square and triangular lattices. The diamond-like-decorated square (triangular)…

Elucidation of Ground-State Spin Configurations of Ising Models in a Magnetic Field with Frustration on a Diamond Hierarchical Lattice

- Physics
- 2015

To study the ground-state spin configuration as a function of magnetic field, the spin configurations at each stage lattice are determined by analyzing recursion equations. The exact calculation of…

Effect of the on-site interaction on the magnetic properties of an exactly solvable spin-electron system.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2011

It is shown that the ground state of the investigated hybrid system consists of a remarkable four-sublattice quantum antiferromagnetic phase, which manifests itself through a non-trivial criticality at non-zero temperatures.

Unconventional spin frustration due to two competing ferromagnetic interactions of a spin-1/2 Ising-Heisenberg model on martini and martini-diced lattices.

- PhysicsPhysical review. E
- 2022

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattices is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective…

Novel constructive method for the quantum dimer model in spin-1/2 Heisenberg antiferromagnets with frustration on a diamond-like-decorated square lattice

- PhysicsAIP Advances
- 2018

We study spin-1/2 Heisenberg antiferromagnets on a diamond-like-decorated square lattice. The diamond-like-decorated square lattice is a lattice in which the bonds in a square lattice are replaced…

Ground-state phase diagram, fermionic entanglement and kinetically-induced frustration in a hybrid ladder with localized spins and mobile electrons.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2017

We introduce an exactly solvable hybrid spin-ladder model containing localized nodal Ising spins and interstitial mobile electrons, which are allowed to perform a quantum-mechanical hopping between…

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