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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
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Area of Science:

  • Quantum physics
  • Materials science
  • Spintronics

Background:

  • Single atomic spins on substrates are key for spintronics and quantum computing.
  • Magnetic stability of these spins is enhanced by coupling into arrays.
  • Environmental symmetry increases single-atom spin stability, but coupling symmetry effects are unclear.

Purpose of the Study:

  • Investigate the role of magnetic coupling symmetry in atomic spin arrays.
  • Analyze Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction effects, including Dzyaloshinskii-Moriya (DM) and symmetric anisotropic exchange.
  • Determine how coupling symmetry impacts spin stability and lifetime.

Main Methods:

  • Theoretical study of coupled atomic spin arrays.
  • Analysis of RKKY interaction, DM interaction, and symmetric anisotropic exchange.
  • Focus on trimer structures and their interaction with nearby atoms.

Main Results:

  • A trimer's spin stability can be remotely detected by a neighboring atom.
  • DM interaction destabilizes the trimer spin state.
  • Additional nearby atoms induce non-local transverse anisotropy, further destabilizing the trimer.
  • Highly symmetric configurations quench this transverse anisotropy.

Conclusions:

  • Symmetry of magnetic couplings is crucial for spin stability in atomic arrays.
  • DM interaction and symmetric anisotropic exchange can destabilize spin states.
  • Achieving high symmetry in spin array structures significantly enhances spin lifetime and stability for spintronic applications.