Polaronic effects on the collective excitation energies in a quantum wire

Machado, Paulo César Miranda; Osório, Francisco A. P.; Borges, Antônio Newton

doi:10.1016/j.mejo.2007.07.029

Cited by 7 publications

(9 citation statements)

References 7 publications

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“…However, q c for ω − (q) and ω + (q) modes is higher in the RPA than as predicted by the STLS and qSTLS theories. It is worthwhile to mention here that splitting in the collective excitation spectrum is observed only if the polaronic effects are included along with the usual e-e interactions, irrespective of the mean-field approximation (qSTLS, STLS or RPA) used [12][13][14][15][16][17][18][19][20].…”

Section: Plasmon-phonon Coupled Modesmentioning

confidence: 99%

“…The finite-T polaronic contribution E p to the free energy of the quantum wire can be obtained by recasting equation (16) in dimensionless form as , τ = 0.3, r s = 24.5 for q/k F = 0.6, 0.8 and 1.5 in (a), and q/k F = 4, 4.4 and 5 in (b) with polaronic effects in the qSTLS theory. Symbols correspond to the values of ω − (q) as calculated from equation (22).…”

Section: Finite-t Polaronic Contribution To the Free Energymentioning

confidence: 99%

“…While the e-e interactions play the dominating role in determining the properties of quantum wires, the coupling between electrons and phonons has significant effects as well. To explicate this scenario, a number of attempts [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] have been made to probe the polaronic effects (e-ph coupling) in the electron quantum wire structures. Mainly, the plasmon-phonon (pl-ph) coupled modes [12][13][14][15][16][17][18][19][20], static correlation functions [17][18][19][20][21][22], polaronic energy [20,23,24], polaronic effects on the electron's effective mass [25], and many other related properties [26][27][28] were investigated in detail.…”

Section: Introductionmentioning

confidence: 99%

“…To explicate this scenario, a number of attempts [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] have been made to probe the polaronic effects (e-ph coupling) in the electron quantum wire structures. Mainly, the plasmon-phonon (pl-ph) coupled modes [12][13][14][15][16][17][18][19][20], static correlation functions [17][18][19][20][21][22], polaronic energy [20,23,24], polaronic effects on the electron's effective mass [25], and many other related properties [26][27][28] were investigated in detail. It was clearly emphasized [12][13][14][15][16][17][18][19][20] that the polaronic effects influence the properties of quantum wires to s...…”

Section: Introductionmentioning

confidence: 99%

“…Mainly, the plasmon-phonon (pl-ph) coupled modes [12][13][14][15][16][17][18][19][20], static correlation functions [17][18][19][20][21][22], polaronic energy [20,23,24], polaronic effects on the electron's effective mass [25], and many other related properties [26][27][28] were investigated in detail. It was clearly emphasized [12][13][14][15][16][17][18][19][20] that the polaronic effects influence the properties of quantum wires to such an extent that pl-ph coupled modes get resonantly split into two branches with one branch having energy lower and the other having energy higher than the energy of longitudinal-optical (LO) phonon. Besides, dips in the static structure factor [17][18][19] and enhancement in the polaronic effective mass [25] were also predicted.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic correlation and polaronic effects on the correlational properties of finite-temperature electron quantum wire

Puttar¹,

Verma²,

Garg³

et al. 2022

Phys. Scr.

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We study the role of dynamic correlation and polaronic effects on the correlational properties of a GaAs-based electron quantum wire at finite-temperature T. The dynamics of electron correlations is incorporated through the self-consistent mean-field approximation of Hasegawa and Shimizu (the qSTLS theory) and the polaronic effects via the Fröhlich interactions. Results are presented for the static correlation functions, dynamic structure factor and electron’s contact probability over a wide range of T and electron number density r s . We find that for a fixed wire width b and T , electrons undergo a transition from the quantum liquid to Wigner crystal state due to the dynamics of severely correlated electrons at a critical r s = r s c . The inclusion of polaronic effects along with the conventional electron-electron interactions tends to increase r s c significantly at each T ultimately improving the quantum phase diagram. The electron’s contact probability exhibits a non-monotonic T -dependence which remains positive over a broader range of r s owing to the inclusion of polaronic effects. Besides, we explore the effect of phonon contribution on the plasmon energy of the quantum wire at non-zero T and find that there is splitting in the energy into two branches namely, plasmonlike and phononlike with former having energy lower than the latter. Both of the energy modes show consistent blue shift with rise in T , get damp at a critical wave vector q c , and q c decreases with T. Finally, we calculate the finite-T polaronic contribution to the free energy whose magnitude increases with T as r s → 0 and it becomes almost constant at sufficiently high r s .

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Section: Plasmon-phonon Coupled Modesmentioning

confidence: 99%

Section: Finite-t Polaronic Contribution To the Free Energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Dynamic correlation and polaronic effects on the correlational properties of finite-temperature electron quantum wire

Puttar¹,

Verma²,

Garg³

et al. 2022

Phys. Scr.

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Correlation effects for a quasi‐one‐dimensional polaron gas

Machado

Borges

Osório

2010

Physica Status Solidi (b)

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, Phone: þ55 62 3209 6400, Fax: þ55 62 3521 1806, Web: www.eee.ufg.brIn this work, we investigate the plasmon-LO phonon interaction effects on the intrasubband structure factor, electron-electron effective potential, and plasmon energy associated with the lowest subband in a GaAs-AlGaAs rectangular quantum-well wire (QWW) as a function of the electronic density. Our calculations are performed using the self-consistent field approximation, which includes the localfield correction (LFC) within the Singwi, Tosi, Land, and Sjolander (STLS) theory, at zero temperature and assuming a three-subband model, where only the first subband is occupied by electrons. We report for the first time dips in the structure factor spectra as a function of the quasi-one-dimensional (Q1D) plasmon-LO phonon wavevector that are directly related with the resonant split of the collective excitation energy into two branches due to the polaronic effects.

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