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The two-site two-electron Holstein model is studied within a perturbation method based on a variational phonon basis obtained through the modified Lang-Firsov (MLF) transformation. The ground-state wave function and the energy are found out…

Condensed Matter · Physics 2007-05-23 Jayita Chatterjee , A. N. Das

The two-site single-polaron problem is studied within the perturbative expansions using different standard phonon basis obtained through the Lang Firsov (LF), modified LF (MLF) and modified LF transformation with squeezed phonon states…

Condensed Matter · Physics 2009-10-31 Jayita Chatterjee , A. N. Das

The ground state and finite temperature properties of polarons are studied considering a two-site and a four-site Holstein model by exact diagonalization of the Hamiltonian. The kinetic energy, Drude weight, correlation functions involving…

Strongly Correlated Electrons · Physics 2009-11-13 A. N. Das , S. Sil

A simple variational displacement phonon basis, obtained through the modified Lang-Firsov (MLF) transformation, is proposed to study the Holstein model.This phonon basis contains only one variational parameter, but capable of describing…

Condensed Matter · Physics 2007-05-23 Jayita Chatterjee , A. N. Das , P. Choudhury

A convergent perturbation method using modified Lang Firsov transformation is developed for a two-site single-polaron system. The method is applicable for the entire range of the electron-phonon coupling strength from the antiadiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 A. N. Das , Jayita Chatterjee

The Hubbard-Holstein model is studied including double-exchange interaction and superexchange interaction using a variational phonon basis obtained through the modified Lang-Firsov (MLF) transformation followed by the squeezing…

Condensed Matter · Physics 2009-11-10 Jayita Chatterjee , A. N. Das

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small…

Strongly Correlated Electrons · Physics 2014-08-21 Bakhrom Yavidov

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

A two-site double exchange model with a single polaron is studied using a perturbation expansion based on the modified Lang-Firsov transformation. The antiferromagnetic to ferromagnetic transition and the crossover from small to large…

Condensed Matter · Physics 2009-10-31 Jayita Chatterjee , Manidipa Mitra , A. N. Das

We study the complete extended Hubbard-Holstein Hamiltonian on a four-site chain with equally spaced sites, with spacing-dependent electronic interaction parameters evaluated in terms of Wannier functions built from Gaussian atomic…

Strongly Correlated Electrons · Physics 2009-10-31 Marcello Acquarone , Mario Cuoco , Canio Noce , Alfonso Romano

A new variational technique is developed to investigate the polaronic features of the Holstein Molecular Crystal Model. It is based on a linear superposition of Bloch states that describe large and small polaron wave functions. It is shown…

Materials Science · Physics 2009-10-31 V. Cataudella , G. De Filippis , G. Iadonisi

We revisit the two-site Hubbard-Holstein model by using extended phonon coherent states. The nontrivial singlet bipolaron is studied exactly in the whole coupling regime. The ground-state (GS) energy and the double occupancy probability are…

Strongly Correlated Electrons · Physics 2015-05-13 Yu-Yu Zhang , Tao Liu , Qing-Hu Chen , Xiaoguang Wang , Kelin Wang

The single-electron energy and static charge-lattice deformation correlations have been calculated for the first excited state of a two-site Holstein model within perturbative expansions using different standard phonon bases obtained…

Condensed Matter · Physics 2009-10-31 Jayita Chatterjee , A. N. Das

We investigate the orbital effects of strong external magnetic field on the ground state properties of a two dimensional holstein polaron, employing variational approaches based on the exact diagonalization (VAED). From the ground state…

Strongly Correlated Electrons · Physics 2016-03-09 S. Pradhan , Monodeep Chakraborty , A. Taraphder

The polaron features of the one-dimensional Holstein Molecular Crystal Model are investigated by improving a variational method introduced recently and based on a linear superposition of Bloch states that describe large and small polaron…

Condensed Matter · Physics 2009-10-31 V. Cataudella , G. De Filippis , G. Iadonisi

Polarons are quasiparticles formed as a result of lattice distortions induced by charge carriers. The single-electron Holstein model captures the fundamentals of single polaron physics. We examine the power of the exponential ansatz for the…

Materials Science · Physics 2024-06-03 Junjie Yang , Zhi-Hao Cui , Ankit Mahajan , Huanchen Zhai , David R. Reichman , Garnet Kin-Lic Chan

An analytical variational method is applied to the molecular Holstein Hamiltonian in which the dispersive features of the dimension dependent phonon spectrum are taken into account by a force constant approach. The crossover between a large…

Superconductivity · Physics 2009-11-10 Marco Zoli , A. N. Das

Based on a recently developed variational method, we explore the properties of the Holstein polaron on an infinite lattice in $D$ dimensions, where $ 1 \le D \le 4$. The computational method converges as a power law, so that highly accurate…

Strongly Correlated Electrons · Physics 2009-11-07 Li-Chung Ku , S. A. Trugman , J. Bonca

We apply the Lang-Firsov (LF) transformation to electron-boson coupled Hamiltonians and variationally optimize the transformation parameters and molecular orbital coefficients to determine the ground state. M\o{}ller-Plesset (MP-$n$, with…

Chemical Physics · Physics 2024-02-05 Zhi-Hao Cui , Arkajit Mandal , David R. Reichman

The emergence of the bipolaronic phase and the formation of the heavy-electron state in the anharmonic Holstein model are investigated using the dynamical mean-field theory in combination with the exact diagonalization method. For a weak…

Strongly Correlated Electrons · Physics 2012-03-13 Takahiro Fuse , Yoshiaki Ono , Takashi Hotta
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