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An eigenvalue approach to quantum plasmonics based on a self-consistent hydrodynamics method.

Kun Ding1, C T Chan1

  • 1Department of Physics and Institute for Advanced Study, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|December 29, 2017
PubMed
Summary
This summary is machine-generated.

We present a new self-consistent hydrodynamics model to study quantum plasmonics effects. This eigenvalue approach consistently incorporates quantum electron behavior and retardation, offering analytical corrections for plasmonic modes.

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Area of Science:

  • Quantum Plasmonics
  • Condensed Matter Physics
  • Computational Electrodynamics

Background:

  • Plasmonics exhibits unique properties like field enhancement and reveals quantum phenomena.
  • Existing methods for quantum plasmonics often rely on quasi-static approximations.
  • Ab initio packages and empirical Feibelman d-parameters are common but limited approaches.

Purpose of the Study:

  • To develop a reliable theoretical framework for studying quantum plasmonics.
  • To incorporate quantum effects of electron gas into classical electrodynamics consistently.
  • To explore quantum corrections to plasmonic resonances beyond quasi-static models.

Main Methods:

  • Formulation of the self-consistent hydrodynamics model as an eigenvalue problem.
  • Treating electrons and photons on an equal footing within the model.
  • Incorporating a global operator derived from the electron gas energy functional to capture nonlocality.

Main Results:

  • The eigenvalue approach reveals intrinsic nonlocality in quantum plasmonic resonances.
  • Analytical forms for quantum corrections to plasmonic modes are derived.
  • The model successfully accounts for quantum electron spill-out and electrodynamical retardation.

Conclusions:

  • The self-consistent hydrodynamics model provides a robust method for quantum plasmonics.
  • The eigenvalue formulation captures nonlocal effects crucial for quantum plasmonic phenomena.
  • The developed model is applied to analyze quantum surface plasmon polaritons.