Difference equations in condensed matter physics and their application to exciton systems in thin molecular films

Sajfert, Vjekoslav; Šetrajčić, Jovan P.; Popov, Dušan; Tošić, B. S.

doi:10.1016/j.physa.2005.01.022

Cited by 15 publications

(12 citation statements)

References 9 publications

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“…The Green functions are multipolar [10][11][12][13][14], since the denominator is a polynomial D N +1 of order N +1. Therefore, we must use the factorization of prime poles…”

Section: Exciton Statesmentioning

confidence: 99%

“…To determine the crystalline film dynamic permittivity, as in [10][11][12][13][14], we will use formula of DzyaloshinskiPitaevski [18]:…”

Section: Ultrathin Films Permittivitymentioning

confidence: 99%

“…Analyses were done using the innovated method of Green functions, adapted for investigation of quantum structures [10][11][12][13][14]. Due to adequately incorporated statistics, this method is successfully applied in calculating both microscopic and macroscopic, balanced and imbalanced, properties of crystals.…”

Section: Introductionmentioning

confidence: 99%

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Consequences of Confinement Conditions on Absorption in Molecular Nanofilms

et al. 2018

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This paper presents a model of molecular ultrathin crystalline film and analysis of dielectric properties of these spatially very restricted structures. Using the two-time dependent Green functions the energy spectrum and possible exciton states were determined and the dynamic permittivity was calculated. It was shown that the appearance of localized states in the boundary layers of the film depend on the thickness and the changing values of parameters in the border areas of the film. These localized states define schedule and determine the number of resonant absorption lines in the infrared area of the external electromagnetic radiation.

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“…The Green functions are multipolar [10][11][12][13][14], since the denominator is a polynomial D N +1 of order N +1. Therefore, we must use the factorization of prime poles…”

Section: Exciton Statesmentioning

confidence: 99%

“…To determine the crystalline film dynamic permittivity, as in [10][11][12][13][14], we will use formula of DzyaloshinskiPitaevski [18]:…”

Section: Ultrathin Films Permittivitymentioning

confidence: 99%

See 1 more Smart Citation

Consequences of Confinement Conditions on Absorption in Molecular Nanofilms

et al. 2018

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“…The system (4) will be investigated by means of Green functions [12][13][14] where YðtÞ is the Heaviside step function.…”

Section: Non-conservation Of Excitons In the Short Linear Chainmentioning

confidence: 99%

Non-conservation of excitons in finite molecular chain

Tošić¹,

Sajfert

Mašković³

et al. 2010

Journal of Luminescence

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“…[31][32][33][34][35] Differentiating (39) with respect to time and using equations of motion for operator B n t , we obtain the following equation …”

Section: Magnetization Of Ultrathin Film In Bloch's (Harmonic) Approxmentioning

confidence: 99%

Behaviour of Thin Magnetic Films at Low Temperatures

Sajfert¹,

Popov²,

Mašković³

et al. 2009

Jnl of Comp & Theo Nano

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The problem of the analysis of low temperature magnetization is exposed in detail. The application of exact Bose representation of spin operators to the bulk ferromagnets is justified. By means of this representation the magnetization of ultrathin films was analysed. It turned out that thin films magnetization contains exponentially small terms characterized by Dyson's functions even in harmonical approximation. The main conclusions of this work are that magnetic lattice of thin film is more rigid than the macroscopic lattice and that the autoreduction process (the three layer film divides onto three two layer subfilms) takes place in the film.

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Difference equations in condensed matter physics and their application to exciton systems in thin molecular films

Cited by 15 publications

References 9 publications

Consequences of Confinement Conditions on Absorption in Molecular Nanofilms

Consequences of Confinement Conditions on Absorption in Molecular Nanofilms

Non-conservation of excitons in finite molecular chain

Behaviour of Thin Magnetic Films at Low Temperatures

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