Theory of Cyclotron Resonance Width

Lodder, A.; Fujita, Shigeji

doi:10.1143/jpsj.25.774

Cited by 75 publications

(17 citation statements)

References 7 publications

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“…While utilizing this method, we succeeded in formulating a response theory [14,15,21], which includes the Kubo theory as the lowest-order approximation. The derived lineshape function is similar to those obtained by other methods [10][11][12][13]. Further, it is shown that the amount of calculation involved in the technique of Argyres and Sigel is considerably lesser than that required for other technique.…”

Section: Introductionsupporting

confidence: 76%

“…We see that for the calculation of , it suffices to calculate (10) (11) There may be various methods for evaluating such a quantity that yield almost the same result; however it is most effectively by using the POT adopted by Argyres and Sigel, which is a type of equation of motion method. For an external electromagnetic radiation with a frequency ω applied to the LN crystals, the absorption power delivered to the system is given by (12) The absorption power is described by the Lorenzian form. The ESRLS is important when it comes to understanding microscopic properties of the electronic state.…”

Section: Structure and Lineshape Functionmentioning

confidence: 99%

“…The theoretical studies performed on resonant system in the presence of an external electromagnetic radiation thus far have usually been based on the following methodologies: the Boltzmann transport theory, Green's function approach [9], the force-balance approach, Feynmann's path integral approach, the Stark-ladder representation approach, the Wigner-representation approach, and the projection operator technique (POT) [10][11][12][13][14][15][16][17][18][19][20][21]. Among these, in this study, we focus on the POT approach of Argyres and Sigel [16].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic Properties of Cr-doped LiNbO₃by Using the Projection Operator Technique

Park¹,

Lee²,

Lee³

2011

Journal of Magnetics

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The electron spin resonance lineshape (ESRLS) function for the electron spin resonance linewidth (ESRLW) of Cr 3+ (S = 3/2) in ferroelectric lithium niobate single crystals doped with 0.05 wt% of Cr, is obtained by using the projection operator technique (POT), developed by Argyres and Sigel. The ESRLS function is calculated to be axially symmetric about the c − axis and analyzed by using the spin Hamiltonianwith the parameters g = 1.972 and D = 0.395 cm. In the ca plane, the linewidths show a strong angular dependence, whereas in the ab plane, they are independent of the angle. This result implies that the resonance center has an axial symmetry along the c − axis. Further, from the temperature dependence of the linewidths that is shown, it can be seen that the linewidths increase as the temperature increases, at a frequency of v = 9.27 GHz. This result implies that the scattering effect increases with increasing temperature. Thus, the POT is considered to be more convenient to explain the scattering mechanism as in the case of other optical resonant systems.Keywords : electron spin resonance linewidth (ESRLW), electron spin resonance lineshape (ESRLS), spin Hamiltonian, projection operator technique (POT), lithium niobate (LN), dynamical electron spin susceptibility (DESS)

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Section: Introductionsupporting

confidence: 76%

Section: Structure and Lineshape Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Magnetic Properties of Cr-doped LiNbO₃by Using the Projection Operator Technique

Park¹,

Lee²,

Lee³

2011

Journal of Magnetics

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“…(2-10a) and (2-10b), re~pectively. As seen from this, the onset of strong absorption due to the existence of the complex self-energy, hE(AVIAC), is shifted from the energy nw=n 2 k 2 /2f.L+ E g +nL1(kvlkc), for which it occurs in the absence of a magnetic field, to (3)(4)(5)(6)(7)(8)(9)(10)(11) when a magnetic field is applied to the system. Here Wi and f.L are respectively given by (3)(4)(5)(6)(7)(8)(9)(10)(11)(12) f.L-1=mc*-1+mv*-1.…”

Section: J(ev)-j(e/) 6+-w --Zn 7'(e V -E/)(e V -E/-ne(aviac)-z)mentioning

confidence: 99%

Theory of Phonon-Induced Interband Magnetooptical Absorption Lineshape

Suzuki

1988

Progress of Theoretical Physics

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Applying the resolvent superoperator method to the exact expression of the conductivity tensor, a theory for interband magneto optical absorption is presented for an interacting electron-phonon system .. A self-consistent equation for interband self-energy is explicitly obtained as a function of temperature, magnetic field strengths, and an incident photon frequency for direct interband transitions between the valence-and conduction-Landau subbands of direct-band-gap semiconductors. In a weak coupling and a strong field limits, our result reduces to that of Choi and Chung. § 1. Introduction A wealth of phenomena not found in an electron gas are seen in the optical spectra of solids. The shape of the line and/or the linewidth and shift of absorption peaks and their dependence on temperature and magnetic field strengths, depends sensitively on the detailed nature of scattering mechanisms for charge carriers as well as the band structure of solids. Many experimental I )-5) as well as theoretical 6)-20)studies on these topics have been reported. But most of the work on the lineshape studies has been focused on intraband transitions, especially on cyclotron resonance,6)-12) and the effect of scattering associated with interband transitions has been paid less attention. 13 ) In the .preceding paper l8 ) (referred to as 1), Suzuki and Dunn developed a general method of evaluation of dynamic conductivity of a strongly interacting electron-phonon system, starting from a current correlation integral formula. 23 ),24) This theory based on the resolvent superoperator formalism is independent of the representation of one-electron states. Therefore it can be applied to the system of free as well as Bloch electrons interacting with phonons subject to a static magnetic field. The effect of thermal disorder (phonons) on one-electron optical properties is systematically taken into account through a self-energy (collision) superoperator in the conductivity tensor, and the gain-loss structure appearing in the quantum Boltzmann transport equation is thereby built-in automatically.The purpose of this paper is to present a quantum theory of interband magnetooptical absorption lineshape due to an electron-phonon interaction. Here we apply the theory developed in I for the case where the electron states are expressed in terms of Bloch states, and the effects of coherent or incoherent scattering of Bloch electrons by phonons in the interband magneto optical absorption lineshape will be considered. In our formulation, we shall adopt a parabolic two-band model as an example, in which the maximum in the valence ,band occurs at the same point in k space as the minimum in the conduction band. In the presence of magnetic fields, the conduction and valence bands, which are assumed to be parabolic in the vicinity of the band extrema, are further split into Landau subbands. We assume an isotropic effective mass for the carriers in the vicinity of the band extrema, and neglect the

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“…If, in addition, an electromagnetic wave is applied to the system, the electrons absorb the proper photon energies to make magneto-optical transitions, among which cyclotron transition is the most typical one. So far quite many theories have been reported for cyclotron transition of electrons interacting with phonons in semiconductors [1]. More recently the present research group introduced a theory based on a continued fraction method [2] and applied the theory to acoustic-phonon-induced cyclotron transition in Ge and Si [3] for the sake of demonstration of the validity in connection with the dimensional dependence of the scattering mechanism.…”

Section: Introductionmentioning

confidence: 99%

Application of a continued-fraction-based theory to magneto-optical intraband transition in GaAs and CdS

Lee

et al. 2003

Current Applied Physics

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Theory of Cyclotron Resonance Width

Cited by 75 publications

References 7 publications

Magnetic Properties of Cr-doped LiNbO₃by Using the Projection Operator Technique

Magnetic Properties of Cr-doped LiNbO₃by Using the Projection Operator Technique

Theory of Phonon-Induced Interband Magnetooptical Absorption Lineshape

Application of a continued-fraction-based theory to magneto-optical intraband transition in GaAs and CdS

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Theory of Cyclotron Resonance Width

Cited by 75 publications

References 7 publications

Magnetic Properties of Cr-doped LiNbO3by Using the Projection Operator Technique

Magnetic Properties of Cr-doped LiNbO3by Using the Projection Operator Technique

Theory of Phonon-Induced Interband Magnetooptical Absorption Lineshape

Application of a continued-fraction-based theory to magneto-optical intraband transition in GaAs and CdS

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Magnetic Properties of Cr-doped LiNbO₃by Using the Projection Operator Technique

Magnetic Properties of Cr-doped LiNbO₃by Using the Projection Operator Technique