Quantum theory of plasmon energy spectra in electron gases of bulk metal and metallic nanostructures

Nguyễn, Văn Hiếu; Nguyen, Bich Ha

doi:10.1088/2043-6262/5/3/035004

Cited by 3 publications

(7 citation statements)

References 68 publications

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“…The quantum fields of acoustic and optic phonons will be constructed separately. For simplifying formulae we use the notations proposed in our previous works [4][5][6] and the unit system with ℏ = = c 1. Consider first the acoustic phonons.…”

Section: Phonon Quantum Fieldsmentioning

confidence: 99%

“…as this was proposed in references [4,5]. The bosonic real integration variable φ(x) describing collective oscillations of electron gas was called the collective oscillation field.…”

Section: Total Functional Integralmentioning

confidence: 99%

“…The first subsystem is the collective oscillation field φ(x). In references [4,5] it was shown that this field is split into two parts…”

Section: D Xd Yx U X Y Ymentioning

confidence: 99%

“…Therefore the knowledge on the mutual interaction of plasmon, photon and phonons is necessary for both theoretical and experimental studies on the physical processes and phenomena involving plasmon. The present work is devoted to the elaboration of the quantum field theory of the plasmonphoton-phonon interacting system by applying the functional integral technique [4][5][6][7]. The assumptions comprise only the fundamental principles of electrodynamics and quantum theory of many-body system.…”

Section: Introductionmentioning

confidence: 99%

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Quantum field theory of interacting plasmon–photon–phonon system

Nguyễn

Nguyen

2015

Adv. Nat. Sci: Nanosci. Nanotechnol.

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This work is devoted to the construction of the quantum field theory of the interacting system of plasmons, photons and phonons on the basis of general fundamental principles of electrodynamics and quantum field theory of many-body systems. Since a plasmon is a quasiparticle appearing as a resonance in the collective oscillation of the interacting electron gas in solids, the starting point is the total action functional of the interacting system comprising electron gas, electromagnetic field and phonon fields. By means of the powerful functional integral technique, this original total action is transformed into that of the system of the quantum fields describing plasmons, transverse photons, acoustic as well as optic longitudinal and transverse phonons. The collective oscillations of the electron gas is characterized by a real scalar field φ(x) called the collective oscillation field. This field is split into the static background field φ 0 (x) and the fluctuation field ζ(x). The longitudinal phonon fields x Q ( ), al x Q ( ) ol at x q ( ) ot .

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Section: Phonon Quantum Fieldsmentioning

confidence: 99%

“…as this was proposed in references [4,5]. The bosonic real integration variable φ(x) describing collective oscillations of electron gas was called the collective oscillation field.…”

Section: Total Functional Integralmentioning

confidence: 99%

“…The first subsystem is the collective oscillation field φ(x). In references [4,5] it was shown that this field is split into two parts…”

Section: D Xd Yx U X Y Ymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum field theory of interacting plasmon–photon–phonon system

Nguyễn

Nguyen

2015

Adv. Nat. Sci: Nanosci. Nanotechnol.

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“…In our recent article [3] we have proposed to derive the interaction Hamiltonians or action functional determining matrix elements of all plasmonic processes from basic postulates (axioms), also called first principles, of electrodynamics and quantum theory. For this purpose the effective mathematical tool is functional integral technique [4][5][6]. The ideas proposed in [3] will be implemented in the present work.…”

Section: Introductionmentioning

confidence: 99%

Quantum field theory of interacting plasmon–photon system

Nguyễn

Nguyen

2015

Adv. Nat. Sci: Nanosci. Nanotechnol.

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In the framework of functional integral approach, quantum theory of interacting plasmon–photon system was constructed on the basis of general postulates (axioms) called also first principles of electrodynamics and quantum theory of many-body systems. Since plasmons are complex quasiparticles appearing as the resonances in plasma oscillations of the electron gas in solids, we start from the general expression of total action functional of interacting system consisting of electron gas and electromagnetic field. The collective oscillations of electron gas are characterized by a real scalar field φ(x) called the collective oscillation field. In the harmonic approximation the collective oscillations behave like the small fluctuations around a background field φ0(x). The difference between φ(x) and φ0(x) is called the fluctuation field ζ(x). In the case of a homogeneous and isotropic electron gas the fluctuation field ζ(x) is a linear functional of another real scalar field σ(x) satisfying the wave equation similar to the Klein–Gordon equation in relativistic quantum field theory. The quanta of corresponding Hermitian scalar field are called plasmons. The real scalar field σ(x) is called plasmonic field. The total action functional of the interacting system of plasmonic and electromagnetic field was derived.

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