Localization–delocalization transition in a two-dimensional Holstein–Hubbard model

Sankar, I. V.; Mukhopadhyay, Soma; Chatterjee, Ashok

doi:10.1016/j.physc.2012.05.004

Cited by 8 publications

(3 citation statements)

References 23 publications

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“…This reduction in PC is understandable. Since gives the strength of the onsite e-p interaction, as is increased, the e-p interaction will distort the lattice more around that site leading to a deeper polarization potential for the electron causing electron self-trapping or localization at that site 28 29 30 . This will inhibit conduction.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Persistent current in a correlated quantum ring with electron-phonon interaction in the presence of Rashba interaction and Aharonov-Bohm flux

Monisha

Sankar

Sil

et al. 2016

Sci Rep

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Persistent current in a correlated quantum ring threaded by an Aharonov-Bohm flux is studied in the presence of electron-phonon interactions and Rashba spin-orbit coupling. The quantum ring is modeled by the Holstein-Hubbard-Rashba Hamiltonian and the energy is calculated by performing the conventional Lang-Firsov transformation followed by the diagonalization of the effective Hamiltonian within a mean-field approximation. The effects of Aharonov-Bohm flux, temperature, spin-orbit and electron-phonon interactions on the persistent current are investigated. It is shown that the electron-phonon interactions reduce the persistent current, while the Rashba coupling enhances it. It is also shown that temperature smoothens the persistent current curve. The effect of chemical potential on the persistent current is also studied.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Persistent current in a correlated quantum ring with electron-phonon interaction in the presence of Rashba interaction and Aharonov-Bohm flux

Monisha

Sankar

Sil

et al. 2016

Sci Rep

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“…This happens because of the polaronic effect. As g 1 increases, the e-p interaction distorts the lattice more giving rise to a deeper polarization potential at the lattice sites which increases the effect of localization [28][29][30][31]. This causes a reduction in mobility of the electrons and as a result PCC decreases.…”

Section: Resultsmentioning

confidence: 99%

“…But, to our knowledge, very few studies have been reported in the presence of electron-phonon (e-p) interaction which can have important effects in mesoscopic systems. The effect of e-p interaction in such systems can be studied through the Holstein-Hubbard (HH) model [27][28][29][30][31][32]. Another important interaction which has drawn significant attention in the field of 'spintronics' is the spin-orbit interaction (SOI) [33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Persistent current in a mesoscopic Holstein-Hubbard ring with Dresselhaus interaction

Bhattacharyya

Monisha²,

Chatterjee

2023

Preprint

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The effect of electron-phonon coupling, onsite repulsive Coulomb interaction and temperature on the persistent current in a quantum ring is studied in the presence of Dresselhaus spin-orbit interaction. The quantum ring threaded by the Aharonov-Bohm flux is modelled by the one-dimensional Holstein-Hubbard-Dresselhaus Hamiltonian. The electron-phonon interaction and Dresselhaus spin-orbit interaction are decoupled by employing the Lang-Firsov coherent transformation and a unitary transformation respectively. Thereafter, a self-consistent diagonalization technique is performed numerically at the Hartree-Fock level to obtain the effective electronic energy and current. It is shown that the intrinsic Dresselhaus spin-orbit interaction enhances the persistent charge and spin currents significantly. On the other hand, the persistent current is reduced by the onsite and nearest-neighbour electron-phonon interaction and Coulomb interaction. Also, the behaviour of the currents is modified by temperature. The spin-splitting of persistent spin current is enhanced considerably by Dresselhaus spin-orbit interaction and this splitting is tuneable in different regimes of magnetic flux, temperature, chemical potential and the interactions present in the system.

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Effect of electronic concentration on the self-trapping transition of polaron for the weakly correlated system in the adiabatic limit

Debnath

Chatterjee

2022

Materials Today: Proceedings

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Localization–delocalization transition in a two-dimensional Holstein–Hubbard model

Cited by 8 publications

References 23 publications

Persistent current in a correlated quantum ring with electron-phonon interaction in the presence of Rashba interaction and Aharonov-Bohm flux

Persistent current in a correlated quantum ring with electron-phonon interaction in the presence of Rashba interaction and Aharonov-Bohm flux

Persistent current in a mesoscopic Holstein-Hubbard ring with Dresselhaus interaction

Effect of electronic concentration on the self-trapping transition of polaron for the weakly correlated system in the adiabatic limit

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