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Electrostatic Surface Waves in Magnetized Quantum Plasma Half-Space with Application of Metallic Gold

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Abstract

We present a comprehensive study on the characteristics of electrostatic surface waves in a magnetized quantum plasma half-space with an oriented magnetic field. By analytically investigating the system under the influence of quantum diffraction and Fermi pressure, we employ the quantum hydrodynamic model (QHD) and the specular reflection boundary conditions at the plasma-vacuum interface to accurately capture quantum effects. We analyze dispersion relations for two specific cases of magnetic field orientation: parallel and perpendicular to the interface. Our findings reveal that dispersion relations for parallel orientations are influenced by the magnetic field effects, leading to higher frequencies in the surface waves. We numerically plot the dispersion relations and explore the effects of parameters specific to metallic gold plasma, including plasma density, Fermi velocity, and external static magnetic field on the behavior of surface waves. It is shown that increasing plasma density and cyclotron frequency enhance the frequency of surface waves. For greater values of Fermi velocity, a significant decrease in the surface plasmon frequency is observed. We present a comparative analysis of our work with an earlier classical model, based on the electrostatic approximation for a magnetized warm plasma bounded by vacuum, with the magnetic field oriented arbitrarily to the interface, revealing that our model facilitates the propagation of surface plasma waves with higher frequencies across the wave vector. Our study underscores the importance of quantum effects for electrostatic surface plasma waves in dense metallic gold plasmas at room temperature, with potential applications in waveguide structures and related areas such as signal processing, communication systems, sensing devices, quantum dot devices, and metallic gold nanostructures.

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Authors and Affiliations

  1. Department of Physics, FBAS, International Islamic University (IIUI), Islamabad, 44000, Pakistan

    Umar Khitab & A. Mushtaq

  2. Department of Physics, Abdul Wali Khan University Mardan, Mardan, 23200, Pakistan

    Zulfiqar Ahmad

Authors
  1. Umar Khitab
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  2. Zulfiqar Ahmad
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  3. A. Mushtaq
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Contributions

Z.A. wrote the main manuscript text, with conceptual input and manuscript refinement provided by A.M. while U.K. performed the mathematical work and prepared all figures. All authors, Z.A., A.M., and U.K., actively participated in reviewing and finalizing the manuscript.

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Correspondence to Zulfiqar Ahmad.

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Khitab, U., Ahmad, Z. & Mushtaq, A. Electrostatic Surface Waves in Magnetized Quantum Plasma Half-Space with Application of Metallic Gold. Plasmonics (2024). https://doi.org/10.1007/s11468-024-02287-4

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