Ground state and thermodynamic properties of spin-1/2 isosceles Heisenberg triangles for ${\mathrm{V}}_{6}$-like magnetic molecules

Ground state and thermodynamic properties of spin-1/2 isosceles Heisenberg triangles for $V_{6}$ -like magnetic molecules

J. Torrico and J. A. Plascak

Phys. Rev. E 102, 062116 – Published 8 December 2020

Abstract

The spin-1/2 Hamiltonian for two coupled isosceles Heisenberg triangles, which is well suited for describing the $V_{6}$ -type magnetic molecules, is studied by exact diagonalization. The quantum phase transition diagram, at zero temperature, is obtained as a function of the theoretical parameters. The zero temperature magnetization is also obtained as a function of the external magnetic field. The thermodynamic behavior of the magnetization, entropy, susceptibility, and specific heat, as a function of temperature, are also computed and the corresponding magnetocaloric effect analyzed for various values of the Hamiltonian parameters.

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Received 1 September 2020
Accepted 24 November 2020

DOI:https://doi.org/10.1103/PhysRevE.102.062116

Physics Subject Headings (PhySH)

Magnetocaloric effect Phase transitions Quantum statistical mechanics Thermal properties Thermodynamics

Quantum spin models

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

J. Torrico ^1,* and J. A. Plascak ^1,2,3,*

¹Departamento de Física, Universidade Federal de Minas Gerais, C. P. 702, 30123-970, Belo Horizonte-MG, Brazil
²Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa-PB, Brazil
³Department of Physics and Astronomy, University of Georgia Athens, Georgia 30602, USA

^*jordanatorrico@gmail.com; pla@uga.edu

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Vol. 102, Iss. 6 — December 2020

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Ground state and thermodynamic properties of spin-1/2 isosceles Heisenberg triangles for $V_{6}$ -like magnetic molecules

J. Torrico and J. A. Plascak

Phys. Rev. E 102, 062116 – Published 8 December 2020

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Ground state and thermodynamic properties of spin-1/2 isosceles Heisenberg triangles for V6-like magnetic molecules

J. Torrico and J. A. Plascak

Phys. Rev. E 102, 062116 – Published 8 December 2020

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

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Ground state and thermodynamic properties of spin-1/2 isosceles Heisenberg triangles for $V_{6}$ -like magnetic molecules