Self-trapping phase diagram for the strongly correlated extended Holstein-Hubbard model in two-dimensions

Sankar, I. V.; Chatterjee, Ashok

doi:10.1140/epjb/e2014-50146-9

Cited by 9 publications

(4 citation statements)

References 55 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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“…After a certain value of 𝑛, the polaron becomes trapped in its own potential, resulting the self-trapping transition and 𝑡 𝑒𝑓𝑓 becomes zero. Here our result is compared with the Sankar& Chatterjee results [3] and it is found that the effective polaronic mobility is higher at the present case and stronger electron-phonon interaction strength is required to trap the polaron.…”

Section: Resultsmentioning

confidence: 58%

“…It has been also observed that the electron-hole concentration and the electron-phonon interaction strength both have a competitive effect towards the polaronicmobility. Sankar and Chatterjee (SC) [3,4] have studied the self-trapping transition for the strongly correlated electronic system using a variational technique followed by the zero phonon average to the Hamiltonian. In our present work, we have modified the SC's work and the effects of the electron density towards the self-trapping transition have been studied.…”

Section: Introductionmentioning

confidence: 99%

Effect of the hole concentration on the polaronic mobility for the strongly interacting electrons

Debnath

Chatterjee

2022

IOP Conf. Ser.: Mater. Sci. Eng.

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The effective hopping of the polaron has been studied for different hole concentrations. Holstein-Hubbard model is used for the half-filled and less than half-filled cases. A series of canonical transformations are imposed on the generic Hamiltonian and considering the strongly interacting electrons, the transformed Hamiltonian has been reconstructed to an effective t-J model. Using the mean-filled Hartree-Fock approximation the electronic Hamiltonian has been solved with the Zuberev’s Green function technique. The effective polaronic transport is found to be strongly dependent on the electron and hole concentration of the system.

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“…These calculations, though also exact, are highly restricted by the coupling strength and fillings due to the model simplification. The variational local Lang-Firsov transformation was also applied to 2D t-J-Holstein models, with either Gutzwiller approximation 62 or exact treatment of the electrons. As mentioned above, this transformation is already close to the generic polaron transformation employed in this work, but the ignorance of the spatial fluctuations makes crucial differences in this context.…”

Section: Equilibrium Properties Of the Hubbard-holstein Modelmentioning

confidence: 99%

Zero-Temperature Phases of the 2D Hubbard-Holstein Model: A Non-Gaussian Exact Diagonalization Study

Wang,

Esterlis,

Shi

et al. 2019

Preprint

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We propose a novel numerical method which embeds the variational non-Gaussian wavefunction approach with exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions. Using a generalized polaron transformation, we construct a variational wavefunction that absorbs entanglement between electrons and phonons into a variational non-Gaussian transformation; exact diagonalization is then used to treat the electronic part of the wavefunction exactly, thus taking into account high-order correlation effects beyond the Gaussian level. Keeping the full electronic Hilbert space, the complexity is increased only by a polynomial scaling factor relative to the exact diagonalization calculation for pure electrons.As an example, we use this method to study ground-state properties of the two-dimensional Hubbard-Holstein model, providing evidence for the existence of intervening phases between the spin and charge-ordered states. In particular, we find one of the intervening phases has strong charge susceptibility and binding energy, but is distinct from a CDW-ordered state; while the other intervening phase displays superconductivity at weak couplings. This method, as a general framework, can be extended to treat excited states and dynamics, as well as a wide range of systems with both electron-electron and electron-boson interactions.

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Self-trapping phase diagram for the strongly correlated extended Holstein-Hubbard model in two-dimensions

Cited by 9 publications

References 55 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

Effect of the hole concentration on the polaronic mobility for the strongly interacting electrons

Zero-Temperature Phases of the 2D Hubbard-Holstein Model: A Non-Gaussian Exact Diagonalization Study

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