A variational approach to the polaron problem

Tokuda, Naoki

doi:10.1088/0022-3719/13/30/006

Cited by 44 publications

(10 citation statements)

References 7 publications

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“…In order to discuss the ground-state effective Hamiltonian of magnetopolarons in the QD, the Huybrechts linear combination operator is introduced into the electronic coordinate and momentum in x − y plane [21] …”

Section: The Theoretical Model and Methodsmentioning

confidence: 99%

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Influence of Magnetic Field and LO Phonon Effect on Properties of Magnetopolarons and Qubit in Quantum Disks

et al. 2015

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Influence of external magnetic field, longitudinal-optical (LO) phonon effect and thickness of quantum disks (QDs) on the properties of electron-LO phonon strong-coupling magnetopolarons and the qubit is studied by using Lee-Low-Pines-Huybrechts variational method. The expressions for the mean number of phonons of magnetopolaronsN, electron-LO phonon interaction energy E e−ph , energies of the ground and first-excited states E 0 and E 1 , oscillation period T 0 of qubits and probability distribution ρ of electrons are derived. Results of numerical calculations show that the mean number of phonons of the ground state of magnetopolarons is larger than that of the first-excited state, the mean number of phonons of magnetopolaronsN increases with increasing the cyclotron frequency ω c , confinement strength ω 0 and coupling strength α, but decreases and oscillates with increasing the thickness of QDs L; E e−ph is always negative, | E e-ph | of the ground state is larger than that of the first-excited state, and | E e-ph | increases with increasing ω c , ω 0 and α but decreases with increasing L; E 0 and E 1 increase with increasing ω c , ω 0 and α, but decrease with increasing L; T 0 increases with increasing ω 0 and L, but decreases with increasing α; ρ decreases and oscillates with increasing L, and decreases with increasing ω 0 ; the variations of T 0 and ρ with ω c and L are influenced by ω 0 and α significantly.

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Section: The Theoretical Model and Methodsmentioning

confidence: 99%

“…A is a physical quantity characterizing the electron-phonon coupling degree. For the electron-LO phonon strong coupling, A = 0 [21,23].…”

Section: The Theoretical Model and Methodsmentioning

confidence: 99%

Influence of Magnetic Field and LO Phonon Effect on Properties of Magnetopolarons and Qubit in Quantum Disks

et al. 2015

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“…Parker and Whitfield [ 31 ] obtained an energy-momentum relation for the moving piezoelectric polaron by using the strong coupling polaron theory. Tokuda [ 32 ] calculated the energies and effective mass of the optical and the piezoelectric polarons in weak coupling limit by using the method that bears his name. Rona and Whitfield [ 33 ] investigated the energy-momentum relation for the piezoelectric polaron by using the intermediate-coupling theory.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic field effect on weak-coupling piezoelectric polaron in an asymmetrical Gaussian confinement potential quantum well

Manfouo

Issofa

Fobasso

et al. 2022

Heliyon

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“…Assuming that a symmetric quantum well consists of two polar mediums, polar medium with the width 2d is used as the well material and the symmetrical infinite polar medium is used as the base material. In the effective mass approximation, Hamiltonian of the exciton -lattice system can be expressed as [ First, Tokuda' linear combination operator [9] are introduced for the mass center momentum and the coordinate of the exciton, and the extremum problem of the expectation value of the operator function…”

mentioning

confidence: 99%

“…A 1 = 1 corresponds to the weak coupling between the exciton and the bulk LO phonon, and A 2 = 0 corresponds to the strong coupling between the exciton and the IO phonon, which is based on Refs. [9] and [10].…”

mentioning

confidence: 99%

Effective mass of the ground state of the strong-coupling exciton in a quantum well

Eerdunchaolu¹,

Xin

2009

Optoelectron. Lett.

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The properties of the effective mass of the ground state of the exciton, for which the electron (hole) is strongly coupled with interface-optical (IO) phonons but weakly coupled with bulk-longitudinal-optical (LO) phonons in a quantum well, are studied by means of Tokuda's improved linear combination operator and a modified second Lee-Low-Pines transformation method. The results indicate that the contributions of the interaction between the electron (hole) and the different phonon branches to the effective mass are greatly different, and change with the well width and the relative position between the electron and the hole.Semiconductor quantum wells (QWs) are widely applied in active and passive optoelectronic devices for the reason of the large exciton binding energy, the large optical nonlinearity and fast non-linear response speed [1,2] . QW is a quasi-twodimensional (Q-2D) system, and the exciton-phonon coupling is a main interaction in it. Therefore, the properties of the exciton-phonon system of Q-2D system have been studied deeply [3][4][5][6][7] . However, so far, most of the works on the Q-2D exciton are limited to the weak and intermediate couplings between exciton and phonons. The theory of the weak coupling is undoubtedly correct for the group III-V compound materials. In recent years, with the development of the molecule extension technique, the group II-VI compounds have been of great interests. In fact, the band gaps of the group II-VI and I-VII compound semiconductor materials cover the region from the ultraviolet to the far-infrared, and the exciton binding energy of them is larger than that of the group III-V compound semiconductor materials. So the devices made from this kind of material may work effectively at room temperature [1] . Generally, the carrier-phonons coupling constant of the material is an order of magnitude larger than that of the group III-

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A variational approach to the polaron problem

Cited by 44 publications

References 7 publications

Influence of Magnetic Field and LO Phonon Effect on Properties of Magnetopolarons and Qubit in Quantum Disks

Influence of Magnetic Field and LO Phonon Effect on Properties of Magnetopolarons and Qubit in Quantum Disks

Electromagnetic field effect on weak-coupling piezoelectric polaron in an asymmetrical Gaussian confinement potential quantum well

Effective mass of the ground state of the strong-coupling exciton in a quantum well

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