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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

The topological classification of electronic band structures is based on symmetry properties of Bloch eigenstates of single-particle Hamiltonians. In parallel, topological field theory has opened the doors to the formulation and…

The magnon Hedin's equations are derived via the Schwinger functional derivative technique, and the resulting self-consistent Green's function method is used to calculate ground state spin patterns and magnetic structure factors for…

Strongly Correlated Electrons · Physics 2022-11-30 Zhen Zhao , Claudio Verdozzi , Ferdi Aryasetiawan

The interaction of electrons with quantized phonons and photons underlies the ultrafast dynamics of systems ranging from molecules to solids, and it gives rise to a plethora of physical phenomena experimentally accessible using…

Strongly Correlated Electrons · Physics 2021-07-21 Daniel Karlsson , Robert van Leeuwen , Yaroslav Pavlyukh , Enrico Perfetto , Gianluca Stefanucci

The thermal transport across metal-insulator interface can be characterized by electron-phonon interaction through which an electron lead is coupled to a phonon lead if phonon-phonon coupling at the interface is very weak. We investigate…

Materials Science · Physics 2013-10-17 Lifa Zhang , Jing-Tao Lü , Jian-Sheng Wang , Baowen Li

We develop a method for extracting the steady nonequilibrium current from studies of driven isolated systems, applying it to the model of one-dimensional Mott insulator at high temperatures. While in the nonintegrable model the…

Strongly Correlated Electrons · Physics 2015-05-28 Marcin Mierzejewski , Janez Bonca , Peter Prelovsek

We study the simplified Hubbard (SH) model in the presence of a transverse field in the infinite dimension limit. The relevant one-particle Green's functions of the model are obtained by means a perturbative treatment of the hopping and of…

Strongly Correlated Electrons · Physics 2009-10-31 Luis Craco

We examine how the electron correlation affects the electron-phonon (EP) interaction in the linear optical absorption spectrum of the one-dimensional (1D) extended Hubbard-Holstein model. A density matrix renormalization group (DMRG)…

Strongly Correlated Electrons · Physics 2009-11-13 Hiroaki Matsueda , Akihiro Ando , Takami Tohyama , Sadamichi Maekawa

Nonequilibrium states induced by an applied bias voltage (V) and the corresponding current-voltage characteristics of one-dimensional models describing band and Mott insulators are investigated theoretically by using nonequilibrium Green's…

Strongly Correlated Electrons · Physics 2015-03-17 Yasuhiro Tanaka , Kenji Yonemitsu

We show that the Mott metal-insulator transition in the standard one-band Hubbard model can be understood as a topological phase transition. Our approach is inspired by the observation that the mid-gap pole in the self-energy of a Mott…

Strongly Correlated Electrons · Physics 2020-08-26 Sudeshna Sen , Patrick J. Wong , Andrew K. Mitchell

We discuss the photovoltaic effect at a p-n heterojunction, in which the illuminated side is a doped Mott insulator, using the simplest description of a Mott insulator within the Hubbard model. We find that the internal quantum efficiency…

Strongly Correlated Electrons · Physics 2015-05-14 Efstratios Manousakis

Strong correlation effects, which are often associated to the approach to a Mott insulating state, in some cases may be observed even far from half-filling. This typically happens whenever the inter-site Coulomb repulsion induces a tendency…

Strongly Correlated Electrons · Physics 2011-04-06 Adriano Amaricci , Alberto Camjayi , Darko Tanaskovic , Kristjan Haule , Vladimir Dobrosavljevic , Gabriel Kotliar

We expand on our earlier work (cond-mat/0612130, Phys. Rev. Lett. {\bf 99}, 46404 (2007)) in which we constructed the exact low-energy theory of a doped Mott insulator by explicitly integrating (rather than projecting) out the degrees of…

Strongly Correlated Electrons · Physics 2009-11-13 Ting-Pong Choy , Robert G. Leigh , Philip Phillips , Philip D. Powell

The equation for the electron Green's function of the fermionic Hubbard model, derived using the strong coupling diagram technique, is solved self-consistently for the near-neighbor form of the kinetic energy and for half-filling. In this…

Strongly Correlated Electrons · Physics 2015-06-11 A. Sherman

Using the strong coupling diagram technique a self-consistent equation for the electron Green's function is derived for the repulsive Hubbard model. Terms of two lowest orders of the ratio of the bandwidth $\Delta$ to the Hubbard repulsion…

Strongly Correlated Electrons · Physics 2019-05-21 A. Sherman

A new non-perturbative framework for many-body correlated systems is formulated by extending the operator projection method (OPM). This method offers a systematic expansion which enables us to project into the low-energy structure after…

Strongly Correlated Electrons · Physics 2009-10-31 Shigeki Onoda , Masatoshi Imada

We describe a new microscopic approach for analyzing interacting electron systems with local moments or, in principle, any local order parameter. We specialize attention to the doped Mott insulator phase of the Hubbard model, where standard…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Bickers , D. J. Scalapino

Quantitative simulation of electronic structure of solids requires treating local and non-local electron correlations on an equal footing. We present a new ab initio formulation of Green's function embedding which, unlike dynamical…

Materials Science · Physics 2024-10-01 Jiachen Li , Tianyu Zhu

A general technique to analyze the classical interaction between ideal topological insulators, and electromagnetic sources and fields, has been previously elaborated. Nevertheless it is not immediately applicable in the laboratory as it…

Strongly Correlated Electrons · Physics 2016-10-26 Alberto Martín-Ruiz , Mauro Cambiaso , Luis F. Urrutia

A linear algebraic method named the shifted conjugate-orthogonal-conjugate-gradient method is introduced for large-scale electronic structure calculation. The method gives an iterative solver algorithm of the Green's function and the…

Materials Science · Physics 2007-05-23 R. Takayama , T. Hoshi , T. Sogabe , S. -L. Zhang , T. Fujiwara