Polaron in a quasi 1D cylindrical quantum wire

Fai,; Teboul,; Monteil, None; Maabou,; Nsangou,

doi:10.5488/cmp.8.3.639

Cited by 25 publications

(5 citation statements)

References 40 publications

(51 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition to theoretical and experimental methods, simulations in particular molecular dynamics and Monte Carlo simulations [66][67][68][69] together with model systems [70][71][72][73][74] are now widely used to unravel unsolved problems in condensed matter and complex systems physics [75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90]. The reader will find details on our simulation procedure in previous papers [91][92][93], however for convenience we will resume it here.…”

Section: Calculationmentioning

confidence: 99%

Activation of a supercooled liquid confined in a nanopore

Mercier,

Delhaye,

Teboul

2021

Preprint

View full text Add to dashboard Cite

It is well stablished that confinement of supercooled liquids in nano-pores induces various effects as a strong modification of the dynamics and a layering of the local structure. In this work we raise the issue as how these confinement effects are modified when the liquid is out of equilibrium. To answer that question, we use molecular dynamics simulations to investigate the effect of confinement on a supercooled liquid activated by the periodic folding of a molecular motor. We find that the motor's opening angle controls the activation of the medium and use that result to study the effect of different activations on the confined supercooled liquid. We observe an increase of the activation effect on the dynamics when the medium is confined. We find that the confinement slowing down dependence with the pore radius depends on the activation of the liquid. We argue that these findings result from a modification of dynamic correlation lengths with activation. In this picture the activation permits to control the liquid correlation length and dynamics inside the pore. Studying the local structure we observe a modification of the layering organization induced by the activation. We also find that the mobility inside the pore depends on the layers, being larger where the local density is small.

show abstract

Section: Calculationmentioning

confidence: 99%

Activation of a supercooled liquid confined in a nanopore

Mercier,

Delhaye,

Teboul

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Furthermore, most nanostructures are ionic crystals or polar materials, so the polarization effects have a great effect on their physical properties. [13] It can be predicted that the special geometry and size of QRs will lead to a stronger electron-phonon interaction and make the polaronic effect more obvious and interesting. Recently, Kovalev et al [14] studied the magneto polaron states of the particles in QRs by using a perturbation method.…”

mentioning

confidence: 99%

Influence of Rashba SOI and Polaronic Effects on the Ground-State Energy of Electrons in Semiconductor Quantum Rings

Eerdunchaolu¹,

Wei²,

Zhao³

2010

Chinese Phys. Lett.

View full text Add to dashboard Cite

The influence of Rashba spin-orbit interaction (SOI) and polaronic effect on the ground-state energy of electrons in semiconductor quantum rings (QRs) are studied by means of the Lee-Low-Pines variational method. Numerical calculations for GaAs QRs are performed and the results show that the ground-state energy of electrons splits into two branches as 𝐸(↑) and 𝐸(↓) under the Rashba SOI, which correspond to the spin-up state and spin-down state, respectively. The contribution of the Rashba SOI effect to the ground-state energy of electrons is related to the spin state of electrons and is closely linked to the inner and outer radii of a QR. However, it is independent of the height of the QR. The ground-state energy of electrons decreases due to the polaronic effect in QRs. The energy shift Δ𝐸𝑒−LO of the ground-state of the electron induced by the polaronic effect decreases monotonically with increase of the height of a QR and fluctuates with the changes of the radii of QRs. The amplitude of the fluctuation is very sensitive and remarkable to the changes of the inner radius 𝑅1 and the outer radius 𝑅2.

show abstract

“…In the past, several workers [10][11][12][13][14][15] had carried out studies of the electron interaction with longitudinal optical (LO) phonons in quantum wires considering the modification of the electron energy spectrum and wave function due to their space localization but assuming the bulk forms for LO phonon modes. However, it was shown that the reduced sized scale and dimensionality have great influence leading to phonon confinement and changes in phonon modes [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Optical Phonon Modes and Electron-optical Phonon Interaction in Core-shell Semiconductor Quantum Wires

Dat¹,

Hai²

2015

Comm. in Phys.

View full text Add to dashboard Cite

Abstract. Within the framework of the macroscopic dielectric continuum model the longitudinal optical (LO) phonon modes are derived for a cylindrical semiconductor quantum wire made of semiconductor 1 (well material) embedded in another finite semiconductor 2 (barrier material). The phonon states of modes are given by solving the generalized Born-Huang equation. It is shown that there may exist four types of longitudinal optical phonon modes according to the concrete materials forming the wire. The dispersion equations for phonon frequencies with wave-vector components parallel to the wire are obtained. After having quantized the phonon field we derive the Fröhlich Hamiltonian describing the electron-LO-phonon interaction. The influence of the thickness of the barrier layer as well as the thin metallic shell on the phonon frequencies and their interaction with electrons is studied.

show abstract

Polaron in a quasi 1D cylindrical quantum wire

Cited by 25 publications

References 40 publications

Activation of a supercooled liquid confined in a nanopore

Activation of a supercooled liquid confined in a nanopore

Influence of Rashba SOI and Polaronic Effects on the Ground-State Energy of Electrons in Semiconductor Quantum Rings

Optical Phonon Modes and Electron-optical Phonon Interaction in Core-shell Semiconductor Quantum Wires

Contact Info

Product

Resources

About