Exact classical spin dynamics of high spin nanoscale molecular magnetic clusters

Ciftja, Orion

doi:10.1016/j.physleta.2021.127826

Cited by 3 publications

(1 citation statement)

References 18 publications

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“…Another focus of the present work is the computation of the autocorrelation function (acf) for the general spin triangle, see Section VI. This function has been frequently studied in the literature on classical spin systems [14][15][16][17][18][19][20][21], partly because it is of importance for proton spin-lattice relaxation measurements [22][23][24] and experiments with neutron scattering [25]. The short time acf for low temperatures is characterized by peaks at the frequencies of spin waves that occur for energies slightly above the ground state energy, see Section VI A.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of the classical spin triangle

Schmidt¹,

Schröder²

2022

Preprint

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Section: Introductionmentioning

confidence: 99%

Thermodynamics of the classical spin triangle

Schmidt¹,

Schröder²

2022

Preprint

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Thermodynamics of the Spin Square

Schmidt

Schröder

2023

Few-Body Syst

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Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an example of a completely integrable system, in the double sense: quantum mechanical and classical. However, this does not automatically imply that the thermodynamic quantities of the classical system can also be calculated explicitly. In this work, we derive analytical expressions for the density of states, the partition function, specific heat, entropy, and susceptibility. These theoretical results are confirmed by numerical tests. This allows us to compare the quantum mechanical quantities for increasing spin quantum numbers s with their classical counterparts in the classical limit $$s\rightarrow \infty $$ s → ∞ . As expected, a good agreement is obtained, except for the low temperature region. However, this region shrinks with increasing s, so that the classical state variables emerge as envelopes of the quantum mechanical ones.

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Thermodynamics of the classical spin triangle

Schmidt

Schröder

2022

Zeitschrift Für Naturforschung A

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The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper, we explicitly calculate thermodynamic quantities such as density of states, specific heat, susceptibility and spin autocorrelation functions. These calculations are performed (semi-)analytically and shown to agree with corresponding Monte Carlo simulations. It is shown that the thermodynamic functions depend qualitatively on the character of the system in terms of its frustration, especially w. r. t. their low temperature limit. For the long-time autocorrelation function, we find, for certain values of the coupling constants, a decay to constant values in the form of an 1/t damped harmonic oscillation and propose a theoretical explanation.

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Exact classical spin dynamics of high spin nanoscale molecular magnetic clusters

Cited by 3 publications

References 18 publications

Thermodynamics of the classical spin triangle

Thermodynamics of the classical spin triangle

Thermodynamics of the Spin Square

Thermodynamics of the classical spin triangle

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