Quantum transition processes in deformation potential interacting systems using the equilibrium density projection technique

Starting with Kubo's formula and using the projection operator technique introduced by Kawabata, EPR lineprofile function for a Mn 2+-doped wurtzite structure GaN semiconductor was derived as a function of temperature at a frequency of 9.49 GHz (X-band) in the presence of external electromagnetic field. The line-width is barely affected in the low-temperature region because there is no correlation between the resonance fields and the distribution function. At higher temperature the line-width increases with increasing temperature due to the interaction of electrons with acoustic phonons. Thus, the present technique is considered to be more convenient to explain the resonant system as in the case of other optical transition systems.

Section: The Response Theorymentioning

confidence: 99%

Electron Spin Transition Line-width of Mn-doped Wurtzite GaN Film for the Quantum Limit

Park¹,

Lee²,

Lee³

et al. 2012

“…We can write Eq. (19) in the form (20) Where the ESRLS function is defined as follows: (21) In order to calculate Eq. (21), the propagator is expanded with a conventional series representation.…”

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%

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

Park¹,

Lee²,

Lee³

2011

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)

“…The merit of using EAPS is that the quantum response function and the scattering factor formula can be obtained in a one-step process by expanding the quantum transport theory. However, the previous work [12], we applied the EAPS theory in Ge and Si, since there are abundant experimental date [13] in non-confining potential systems. We compared our results of numerical calculations of the EAPS theory [12] with existing experimental data [13] and got a good agreement between them.…”

Section: Introductionmentioning

confidence: 99%

“…The study of magneto-optical transitions has been known to be a good tool for investigating the transport behavior of electrons in low-dimensional electron systems. There are many theories regarding the quantum transport problems in various methodologies [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], among them we use the projected Liouville equation method with the Equilibrium Average Projection Scheme (EAPS) [11]. The merit of using EAPS is that the quantum response function and the scattering factor formula can be obtained in a one-step process by expanding the quantum transport theory.…”

Section: Introductionmentioning

confidence: 99%

The Magnetic Field Dependence Properties of Quasi Two Dimensional Electron-piezoelectric Potential Interacting System in GaN and ZnO

Lee¹,

Sug²,

Lee³

et al. 2011

We investigated theoretically the magnetic field dependence of the quantum optical transition of qusi 2-Dimensional Landau splitting system, in GaN and ZnO. We apply the Quantum Transport theory (QTR) to the system in the confinement of electrons by square well confinement potential. We use the projected Liouville equation method with Equilibrium Average Projection Scheme (EAPS). Through the analysis of this work , we found the increasing properties of the optical Quantum Transition Line Shapes(QTLSs) which show the absorption power and the Quantum Transition Line Widths(QTLWs) with the magnetic-field in GaN and ZnO. We also found that QTLW, γ (B) total of GaN <γ(B) total of ZnO in the magnetic field region B < 25 Tesla.