Temperature dependence of ESR intensity for the nanoscale molecular magnet V15

Abstract

The electron spin resonance (ESR) of nanoscale molecular magnet ${\mathrm{V}}_{15}$ is studied. Since the Hamiltonian of ${\mathrm{V}}_{15}$ has a large Hilbert space and numerical calculations of the ESR signal evaluating the Kubo formula with exact diagonalization method is difficult, we implement the formula with the help of the random vector technique and the Chebyshev polynominal expansion, which we name the double Chebyshev expansion method. We calculate the temperature dependence of the ESR intensity of ${\mathrm{V}}_{15}$ and compare it with the data obtained in experiment. As another complementary approach, we also implement the Kubo formula with the subspace iteration method taking only important low-lying states into account. We study the ESR absorption curve below $100\mathrm{K}$ by means of both methods. We find that side peaks appear due to the Dzyaloshinsky-Moriya interaction and these peaks grows as temperature decreases.

9 pages, 4 figures. To appear in J. Phys. Soc. Jpn. Suppl

References in corpus (6)

• Random phase vector for calculating the trace of a large matrix
• Adiabatic Landau-Zener-Stückelberg transition with or without dissipation in low spin molecular system V15
• Algorithm for Linear Response Functions at Finite Temperatures: Application to ESR spectrum of s=1/2 Antiferromagnet Cu benzoate
• Magnetic Anisotropy in the Molecular Complex V15
• Quantum Tunneling in Half-Integer Spin Systems
• Magnetic energy-level diagrams of high-spin (Mn${}_{12}$-acetate) and low-spin (V${}_{15}$) molecules

Cited by in corpus (4)

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• Thermal Pure Quantum Matrix Product States Recovering a Volume Law Entanglement
• Temperature- and Size-dependence of Line shape of ESR spectra of XXZ antiferromagnetic chain
• The ESR intensity and the Dzyaloshinsky-Moriya interaction of the nanoscale molecular magnet V15