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Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
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How do phonons relax molecular spins?

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Spin relaxation in molecular qubits is driven by spin-phonon coupling. High magnetic fields show acoustic phonons dominating, while low fields reveal hyperfine coupling as the key mechanism.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Materials Science

Background:

  • Spin-phonon coupling is crucial for magnetic relaxation, but its precise mechanisms remain debated.
  • Understanding spin relaxation dynamics is essential for developing molecular qubits.
  • Previous studies have not fully elucidated the roles of spin-spin, spin-orbit, and hyperfine interactions.

Purpose of the Study:

  • To comprehensively investigate the spin dynamics and relaxation mechanisms in Vanadyl-based molecular qubits.
  • To quantitatively determine the contributions of Zeeman, hyperfine, and spin dipolar interactions to direct spin relaxation.
  • To elucidate the influence of acoustic phonons on spin relaxation across different magnetic field regimes.

Main Methods:

  • Employed first-order perturbation theory to analyze spin dynamics.
  • Utilized first-principles calculations to model spin-phonon interactions.
  • Investigated relaxation mechanisms under varying magnetic field strengths.

Main Results:

  • Identified that intramolecular acoustic phonons modulating the Zeeman Hamiltonian dominate spin relaxation in high magnetic fields.
  • Demonstrated that hyperfine coupling becomes the primary relaxation mechanism in low magnetic fields.
  • Quantified the relatively minor contribution of spin-spin dipolar interactions to spin relaxation.

Conclusions:

  • The dominant spin relaxation mechanism in Vanadyl-based molecular qubits is field-dependent.
  • Acoustic phonon modulation of the Zeeman interaction is key at high fields, while hyperfine coupling prevails at low fields.
  • This detailed understanding provides critical insights for designing and optimizing molecular qubit performance.