Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra

A full energy spectrum, magnetization and susceptibility of a spin-1/2 Heisenberg model on two edge-shared tetrahedra are exactly calculated by assuming two different coupling constants. It is shown that a ground state in zero field is either a singlet or a triplet state depending on a relative stre...

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Main Authors: Jozef Strečka, Katarína Karľová
Format: Article
Language:English
Published: AIP Publishing LLC 2018-10-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5042029
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author Jozef Strečka
Katarína Karľová
author_facet Jozef Strečka
Katarína Karľová
author_sort Jozef Strečka
collection DOAJ
description A full energy spectrum, magnetization and susceptibility of a spin-1/2 Heisenberg model on two edge-shared tetrahedra are exactly calculated by assuming two different coupling constants. It is shown that a ground state in zero field is either a singlet or a triplet state depending on a relative strength of both coupling constants. Low-temperature magnetization curves may exhibit three different sequences of intermediate plateaux at the following fractional values of the saturation magnetization: 1/3-2/3-1, 0-1/3-2/3-1 or 0-2/3-1. The inverse susceptibility displays a marked temperature dependence significantly influenced by a character of the zero-field ground state. The obtained theoretical results are confronted with recent high-field magnetization data of the mineral crystal fedotovite K2Cu3(SO4)3.
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spelling doaj.art-101b6720a042420db0b5f80747db998e2022-12-22T03:50:11ZengAIP Publishing LLCAIP Advances2158-32262018-10-01810101403101403-410.1063/1.5042029004893ADVMagnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedraJozef Strečka0Katarína Karľová1Institute of Physics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak RepublicInstitute of Physics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak RepublicA full energy spectrum, magnetization and susceptibility of a spin-1/2 Heisenberg model on two edge-shared tetrahedra are exactly calculated by assuming two different coupling constants. It is shown that a ground state in zero field is either a singlet or a triplet state depending on a relative strength of both coupling constants. Low-temperature magnetization curves may exhibit three different sequences of intermediate plateaux at the following fractional values of the saturation magnetization: 1/3-2/3-1, 0-1/3-2/3-1 or 0-2/3-1. The inverse susceptibility displays a marked temperature dependence significantly influenced by a character of the zero-field ground state. The obtained theoretical results are confronted with recent high-field magnetization data of the mineral crystal fedotovite K2Cu3(SO4)3.http://dx.doi.org/10.1063/1.5042029
spellingShingle Jozef Strečka
Katarína Karľová
Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra
AIP Advances
title Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra
title_full Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra
title_fullStr Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra
title_full_unstemmed Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra
title_short Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra
title_sort magnetization curves and low temperature thermodynamics of two spin 1 2 heisenberg edge shared tetrahedra
url http://dx.doi.org/10.1063/1.5042029
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