Continued fraction formalism of linear dynamic conductivity by a combined projection technique

Sug, Joung Young; Kang, Nam Lyong; Ryu, Jai Yon; Choi, Sang Don

doi:10.1103/physreve.51.929

Cited by 8 publications

(6 citation statements)

References 22 publications

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“…A detailed discussions of its use in various systems are beyond the scope of this article. Interested readers may look at the references [27], [28] and [29] where dynamic correlations in case of simple metal, Hubbard Model and spin 1 2 XYZ model respectively are cast in the continued fraction form.…”

Section: Continued Fraction Descriptionmentioning

confidence: 99%

Memory function approach to correlated electron transport: A comprehensive review

Das

Bhalla

Singh

2016

Int. J. Mod. Phys. B

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Memory function formalism or projection operator technique is an extremely useful method to study the transport and optical properties of various condensed matter systems. A recent revival of its uses in various correlated electronic systems is being observed. It is being used and discussed in various contexts, ranging from non-equilibrium dynamics to the optical properties of various strongly correlated systems such as high temperature superconductors. However, a detailed discussion on this method, starting from its origin to its present day applications at one place is lacking. In this article we attempt a comprehensive review of the memory function approach focusing on its uses in studying the dynamics and the transport properties of correlated electronic systems.

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Section: Continued Fraction Descriptionmentioning

confidence: 99%

Memory function approach to correlated electron transport: A comprehensive review

Das

Bhalla

Singh

2016

Int. J. Mod. Phys. B

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“…In order to apply the linear response formula to optical quantum transition system, in a right circularly polarized external field (RCF) system, we replace r k with J k J À , L 0 l X with L 0 l X ðÀi=!Þ½J þ ; X, and J l J þ for the current system under an oscillating external field of the frequency !. We obtain the ohmic right circular current from the response formula, 11,12)…”

Section: Absorption Power Formula and The Scattering Factor Functionmentioning

confidence: 99%

“…There are several methods of obtaining useful formulas for the scattering factors of the electronbackground particle correlation response function. [1][2][3][4][5][6][7][8][9][10][11][12] One method is the projected Liouville equation method. Kenkre 9,10) suggested a response formula that contains nonlinear terms and a linear term in the lowest order.…”

Section: Introductionmentioning

confidence: 99%

“…Using the projected Liouville equation method with the equilibrium average projection scheme (EAPS), we have proposed a new quantum transport theory of the linear-nonlinear form. 11) The merit of using EAPS is that the generalized susceptibility and scattering factor can be obtained in a one-step process of expanding the quantum transport theory. The study of the dynamical behavior of electrons interacting with piezoelectric potential phonons in semiconductors has received a great deal of attention among condensed matter physicists.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic Properties of Optical Quantum Transition Line Shapes and Line Widths of Electron–Piezoelectric Potential Phonon Interacting Materials under Circularly Oscillating Fields

Sug

Lee

Choi

et al. 2008

jjap

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We demonstrate an all-fiber channel-dropping filter comprising a 2 Â 2 side-polished fiber coupler with long coupling length and a narrow-band fiber Bragg grating. The side-polished fibers are fabricated on a silicon wafer acting as a polishing substrate while the alignment V-grooves are simultaneously prepared. Two polished fibers with an intracore Bragg grating between them are combined as a grating-frustrated coupler, and a low-loss channel-dropping filter was achieved with the spectral bandwidth less than 2 nm (25 dB), dropping efficiency greater than 98% and channel isolation greater than 25 dB. The filter can be manufactured through a fast and reliable fabrication process.

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“…Among the techniques, we focus on the projection operator technique (POT) of Kawabata. 8) By using this technique, we succeeded in formulating a response theory, [9][10][11][12][13][14] which includes the Kubo formalism as the lowest-order approximation. The QTLPs derived is similar to those obtained by other techniques.…”

Section: Introductionmentioning

confidence: 99%

Application of a Continued-Fraction-Based Theory to Line-Profile in Mn-Doped GaN Film

Park¹,

Lee²,

Lee

2012

Jpn. J. Appl. Phys.

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Starting with the Kubo formalism and using the projection operator technique (POT) introduced by Kawabata, the optical quantum transition line-profiles (QTLPs) formula for a Mn-doped wurtzite GaN film was derived as a function of temperature at a frequency of 9.49 GHz (X-band), on the basis of continued fraction representation (CFR) which is a counterpart of the conventional series expansion (CSE). Utilizing this formula we obtained the fine-structure parameter a - F = 9.4 ×10-4 cm-1 and fitting parameter ζ= 4.1. The optical quantum transition half-widths (QTHWs) obtained with the use of these parameters agrees quite well with the existing experimental result in the temperature region T > 20 K. The QTHWs increase with increasing temperature due to the interaction of electrons with optical phonons. Thus, the present technique is considered to be more convenient to explain the resonant system as in the case of other optical transition problems.

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Continued fraction formalism of linear dynamic conductivity by a combined projection technique

Cited by 8 publications

References 22 publications

Memory function approach to correlated electron transport: A comprehensive review

Memory function approach to correlated electron transport: A comprehensive review

Magnetic Properties of Optical Quantum Transition Line Shapes and Line Widths of Electron–Piezoelectric Potential Phonon Interacting Materials under Circularly Oscillating Fields

Application of a Continued-Fraction-Based Theory to Line-Profile in Mn-Doped GaN Film

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