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Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Magnus Paulsson , Thomas Frederiksen , Mads Brandbyge

In this work, we present an analytical framework for studying antiferromagnetic (AFM) Mott insulating states in the Hubbard model. We first derive an analytical solution for the single-particle Green's functions in the atomic limit. Within…

Strongly Correlated Electrons · Physics 2026-02-27 Wenxin Ding , Rong Yu

The role of the electron-phonon interaction in the Holstein-Hubbard model is investigated in the metallic phase close to the Mott transition and in the insulating Mott phase. The model is studied by means of a variational slave boson…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Perroni , V. Cataudella , G. De Filippis , V. Marigliano Ramaglia

We present a framework to characterize Mott insulating phases within the interacting one-body picture, focusing on the Hubbard diamond chain featuring both Hubbard interactions and spin-orbit coupling simulated within cellular dynamical…

Strongly Correlated Electrons · Physics 2026-02-05 Theo N. Dionne , Santiago Villodre , Mikel Iraola , Maia G. Vergniory

Theoretical descriptions of the spectrum of electronic excitations in real metals have not yet reached a fully predictive, "first-principles" stage. In this paper we begin by presenting brief highlights of recent progress made in the…

Materials Science · Physics 2007-05-23 Adolfo G. Eguiluz , Wolf-Dieter Schoene

The manipulation of electronic structure through periodic electric fields enables the reversible control of effective interactions in extended antiferromagnetic Mott insulators on ultrafast timescales. A careful analytical examination of…

Strongly Correlated Electrons · Physics 2025-01-10 Miguel Tierz

Correlated electrons in a binary alloy $A_{x}B_{1-x}$ are investigated within the Hubbard model and dynamical mean--field theory (DMFT). The random energies $\epsilon_{i}$ have a bimodal probability distribution and an energy separation…

Strongly Correlated Electrons · Physics 2009-11-10 Krzysztof Byczuk , Walter Hofstetter , Dieter Vollhardt

There is extensive current interest about electronic topology in correlated settings. In strongly correlated systems, contours of Green's function zeros may develop in frequency-momentum space, and their role in correlated topology has…

Strongly Correlated Electrons · Physics 2024-09-05 Chandan Setty , Fang Xie , Shouvik Sur , Lei Chen , Maia G. Vergniory , Qimiao Si

We investigate nonlinear thermal transport properties of a single interacting quantum dot with two energy levels tunnel-coupled to two electrodes using nonequilibrium Green function method and Hartree-Fock decoupling approximation. In the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chen Xue-Ou , Bing Dong , X. L. Lei

Defects which appear in heterostructure junctions involving topological insulators are sources of gapless modes governing the low energy properties of the systems, as recently elucidated by Teo and Kane [Physical Review B82, 115120 (2010)].…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Ken Shiozaki , Satoshi Fujimoto

We prove that the Mott insulating state is characterized by a divergence of the electron self energy at well-defined values of momenta in the first Brillouin zone. When particle-hole symmetry is present, the divergence obtains at the…

Strongly Correlated Electrons · Physics 2013-05-29 Tudor D. Stanescu , Philip W. Phillips , Ting-Pong Choy

In this overview we provide a general introduction to metal-insulator transitions, with focus on specific mechanisms that can localize the electrons in absence of magnetic or charge ordering, and produce well defined quantum critical…

Strongly Correlated Electrons · Physics 2011-12-30 V. Dobrosavljevic

Inspired by the poles-zeros duality of Green's functions that appears in transitions into Mott-insulating phases in strongly correlated condensed matter systems, we propose a semi-holographic approach to Mott insulators. In this model, a…

We investigate the emergence of topological features in the charge excitations of Mott insulators in the Chern-Hubbard model. In the strong correlation regime, treating electrons as the sum of holons and doublons excitations, we compute the…

Strongly Correlated Electrons · Physics 2025-08-29 Emile Pangburn , Catherine Pépin , Anurag Banerjee

Density functional theory calculations of electronic transport based on local exchange and correlation functionals contain self-interaction errors. These originate from the interaction of an electron with the potential generated by itself…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Toher , S. Sanvito

A technique allowing for a perturbative treatment of nonlocal corrections to the single-site dynamical mean-field theory (DMFT) in finite dimensions is developed. It is based on the observation that in the case of strong electron…

Strongly Correlated Electrons · Physics 2008-06-02 V. I. Tokar , R. Monnier

Including finite-temperature effects from the electronic degrees of freedom in electronic structure calculations of semiconductors and metals is desired; however, in practice it remains exceedingly difficult when using zero-temperature…

Chemical Physics · Physics 2016-11-24 Alicia Rae Welden , Alexander A. Rusakov , Dominika Zgid

We present an overview of electronic device modeling using non-equilibrium Green function techniques. The basic approach developed in the early 1970s has become increasingly popular during the last 10 years. The rise in popularity was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roger K. Lake , Rajeev R. Pandey

We study evolution of metals from Mott insulators in the carrier-doped 2D Hubbard model using a cluster extension of the dynamical mean-field theory. While the conventional metal is simply characterized by the Fermi surface (pole of the…

Strongly Correlated Electrons · Physics 2009-11-13 Shiro Sakai , Yukitoshi Motome , Masatoshi Imada

At the Mott transition, electron-electron interaction changes a metal, in which electrons are itinerant, to an insulator, in which electrons are localized. This phenomenon is central to quantum materials. Here we contribute to its…

Strongly Correlated Electrons · Physics 2019-02-20 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay