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In the past five years enormous progress has been made in the ab initio calculations of the optical response of electrons in semiconductors. The calculations include the Coulomb interaction between the excited electron and the hole left…

Materials Science · Physics 2015-06-24 Manuel Cardona

Multiphonon processes in a model quantum dot (QD) containing two electronic states and several optical phonon modes are considered taking into account both intra- and inter-level terms. The Hamiltonian is exactly diagonalized including a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Vasilevskiy , E. V. Anda , S. S. Makler

Based on the canonical Lang-Firsov transformation of the Hamiltonian we develop a very efficient quantum Monte Carlo algorithm for the Holstein model with one electron. Separation of the fermionic degrees of freedom by a reweighting of the…

Strongly Correlated Electrons · Physics 2007-05-23 Martin Hohenadler , Hans Gerd Evertz , Wolfgang von der Linden

The spectral weight functions and the optical conductivity of the Holstein model are studied on a one-dimensional six-site lattice with periodic boundary conditions for three different electron concentrations: a single electron, two…

Strongly Correlated Electrons · Physics 2009-10-31 Chunli Zhang , Eric Jeckelmann , Steven R. White

A review of electronic dynamics of single-impurity and many-impurity Anderson models is contained in this report. Those models are used widely for many of the applications in diverse fields of interest, such as surface physics, theory of…

Strongly Correlated Electrons · Physics 2015-03-04 A. L. Kuzemsky

We investigate the thermodynamics and finite-temperature spectral functions of the Holstein polaron using a density-matrix renormalization group method. Our method combines purification and local basis optimization (LBO) as an efficient…

Strongly Correlated Electrons · Physics 2020-11-11 David Jansen , Janez Bonča , Fabian Heidrich-Meisner

We study the relaxation of the Holstein model after a sudden switch-on of the interaction by means of the nonequilibrium dynamical mean field theory, with the self-consistent Migdal approximation as an impurity solver. We show that there…

Strongly Correlated Electrons · Physics 2015-01-22 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

We study the symmetric Anderson-Holstein (AH) model at zero temperature with Wilson's numerical renormalization group (NRG) technique to study the interplay between the electron-electron and electron-phonon interactions. An improved method…

Strongly Correlated Electrons · Physics 2009-11-07 Gun Sang Jeon , Tae-Ho Park , Han-Yong Choi

We study ground-state properties of a two-site, two-electron Holstein model describing two molecules coupled indirectly via electron-phonon interaction by using both exact diagonalization and self-consistent diagrammatic many-body…

Strongly Correlated Electrons · Physics 2016-01-20 N. Säkkinen , Y. Peng , H. Appel , R. van Leeuwen

Recent experiments have suggested that the electron-phonon coupling may play an important role in the $\gamma \rightarrow \alpha$ volume collapse transition in Cerium. A minimal model for the description of such transition is the periodic…

Strongly Correlated Electrons · Physics 2019-05-01 Enzhi Li , Shuxiang Yang , Peng Zhang , Ka-Ming Tam , Mark Jarrell , Juana Moreno

The interplay between electron-electron correlations and disorder has been a central theme of condensed matter physics over the last several decades, with particular interest in the possibility that interactions might cause delocalization…

Strongly Correlated Electrons · Physics 2021-03-12 Bo Xiao , Natanael C. Costa , Ehsan Khatami , George G. Batrouni , Richard T. Scalettar

Employing the nonequilibrium Green's function method, we develop a fully quantum mechanical model to study the coupled electron-phonon transport in one-dimensional atomic junctions in the presence of a weak electron-phonon interaction. This…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 J. T. Lü , Jian-Sheng Wang

We discuss Kondo behavior of a conduction electron system coupled with local optical phonon by analyzing the Anderson-Holstein model with the use of a numerical renormalization group (NRG) method. There appear three typical regions due to…

Strongly Correlated Electrons · Physics 2009-11-16 Takashi Hotta

We have recently employed periodic Anderson model with electron-phonon interactions to describe Cerium volume collapse ($\gamma \rightarrow \alpha$ transition) under pressure. To describe the volume collapse transition in Cerium, we have…

Strongly Correlated Electrons · Physics 2019-08-20 Enzhi Li

In an electron system coupled with anharmonic phonons, i.e., {\it rattling}, inverse isotope effect on the Kondo temperature $T_{\rm K}$ is found to occur by the numerical evaluation of the Sommerfeld constant $\gamma$ of the…

Strongly Correlated Electrons · Physics 2009-11-16 Takashi Hotta

The role of electron-phonon interactions in iron-based superconductor is currently under debate with conflicting experimental reports on the isotope effect. To address this important issue, we employ the renormalization-group method to…

Superconductivity · Physics 2012-01-04 Wen-Min Huang , Hong-Yan Shih , Fa Wang , Hsiu-Hau Lin

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-13 Philipp Werner , Andrew J. Millis

We present a semi-relativistic model for the description of the ionization process of atomic hydrogen by electron impact in the first Born approximation by using the Darwin wave function to describe the bound state of atomic hydrogen and…

Atomic Physics · Physics 2007-05-23 Y. Attaourti , S. Taj , B. Manaut

The conductance through a molecular device including electron-electron and electron-phonon interactions is calculated using the Numerical Renormalization Group method. At low temperatures and weak electron-phonon coupling the properties of…

Strongly Correlated Electrons · Physics 2007-05-23 P. S. Cornaglia , H. Ness , D. R. Grempel

We investigate the effect of electron-phonon interaction on the phononic properties in the one-dimensional half-filled Holstein model of spinless fermions. By means of determinantal Quantum Monte Carlo simulation we show that the behavior…

Strongly Correlated Electrons · Physics 2009-11-11 C. E. Creffield , G. Sangiovanni , M. Capone