Quantum Step Heights in Hysteresis Loops of Molecular Magnets

Abstract

We present an analytical theory on the heights of the quantum steps observed in the hysteresis loops of molecular magnets. By considering the dipolar interaction between molecular spins, our theory successfully yields the step heights measured in experiments, and reveals a scaling law for the dependence of the heights on the sweeping rates hidden in the experiment data on Fe${}_8$ and Mn${}_4$. With this theory, we show how to accurately determine the tunnel splitting of a single molecular spin from the step heights.

4 pages, 5 figures

References in corpus (2)

• Spin-parity dependent tunneling of magnetization in single-molecule magnets
• Crossover between Thermally Assisted and Pure Quantum Tunneling in Molecular Magnet Mn12-Acetate

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• Role of dipolar and exchange interactions in the positions and widths of EPR transitions for the single-molecule magnets Fe8 and Mn12
• Landau-Zener tunneling in the presence of weak intermolecular interactions in a crystal of Mn4 single-molecule magnets
• Simulating quantum magnets with symmetric top molecules
• Influence of the Dzyaloshinskii-Moriya exchange interaction on quantum phase interference of spins
• Tunneling Splittings in Mn12-Acetate Single Crystals
• Localization Properties of Quantized Magnetostatic Modes in Nanocubes
• Many-body Landau-Zener effect at fast sweep
• Dynamics of molecular nanomagnets in time-dependent external magnetic fields: Beyond the Landau-Zener-Stückelberg model
• Topology hidden behind the breakdown of adiabaticity
• Tunneling and inversion symmetry in single-molecule magnets: the case of the Mn12 wheel molecule
• Tunneling Time in the Landau-Zener Model
• Landau-Zener tunneling with many-body quantum effects in crystals of molecular magnets
• Suppression of Quantum Phase Interference in Molecular Magnets Fe₈ with Dipolar-Dipolar Interaction
• Spin dynamics in molecular ring nanomagnets: Significant effect of acoustic phonons and magnetic anisotropies
• Low-Temperature Magnetization Dynamics of Magnetic Molecular Solids in a Swept Field
• On the Use of Finite-Size Scaling to Measure Spin-Glass Exponents
• More Evidence for a Distribution of Tunnel Splittings in Mn${}_{12}$-acetate
• Comment on: Quantum interference of tunnel trajectories between states of different spin length in a dimeric molecular nanomagnet