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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Quantum mechanics improves nanometer-scale plasmonics by incorporating first-principles surface response functions. This new model accurately describes quantum corrections, separating effects of shape, scale, and material for metal nanostructures.

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Area of Science:

  • * Physics, specifically condensed matter physics and quantum optics.
  • * Nanotechnology and materials science.

Background:

  • * Classical plasmonics models fail at the nanometer scale due to unaddressed quantum mechanical surface effects.
  • * Existing models lack the precision to describe nanoscale phenomena accurately.

Purpose of the Study:

  • * To extend the classical plasmonics paradigm by incorporating quantum mechanical surface phenomena.
  • * To develop a rigorous theoretical framework for nanoscale plasmonics using first-principles calculations.

Main Methods:

  • * Incorporation of first-principles surface response functions, specifically the Feibelman d parameters, into theoretical models.
  • * Development of analytical solutions for leading-order plasmonic quantum corrections in general geometries.
  • * Application of the formalism to derive modified sum rules and reformulate damping prescriptions.

Main Results:

  • * A rigorous theoretical framework is established for nanoscale plasmonics, accurately accounting for quantum surface effects.
  • * The study clearly separates the influence of shape, scale, and material on plasmonic properties.
  • * Demonstrated utility through a modified sum rule, a rigorous reformulation of Kreibig's damping, and analysis of resonance shifting.

Conclusions:

  • * The developed first-principles approach provides a robust extension to classical plasmonics for nanometer-scale systems.
  • * The Feibelman d parameters are crucial for accurately modeling quantum corrections in plasmonic nanostructures.
  • * The formalism offers new insights into the behavior of plasmons in noble and simple metal nanostructures.