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We present a comparison of methods for treating the electrostatic interactions of finite, isolated systems within periodic boundary conditions (PBCs), within Density Functional Theory (DFT), with particular emphasis on linear-scaling (LS)…

Computational Physics · Physics 2011-12-07 N. D. M. Hine , J. Dziedzic , P. D. Haynes , C. K. Skylaris

In this article a concept is introduced, which allows for reduced Coulomb interaction in organic solar cells and as such for enhanced power conversion efficiencies. The concept is based on the introduction of electrically insulating,…

Materials Science · Physics 2023-07-19 Miriam Engel , David Schaefer , Daniel Erni , Niels Benson , Roland Schmechel

We present a systematic theory of Coulomb-induced correlation effects in the nonlinear optical processes within the strong-coupling regime. In this paper we shall set a dynamics controlled truncation scheme \cite{Axt Stahl} microscopic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Portolan , O. Di Stefano , S. Savasta , F. Rossi , R. Girlanda

We present a new reciprocal space analytical method to cutoff the long range interactions in supercell calculations for systems that are infinite and periodic in 1 or 2 dimensions, extending previous works for finite systems. The proposed…

Other Condensed Matter · Physics 2009-11-11 Carlo A. Rozzi , Daniele Varsano , Andrea Marini , Eberhard K. U. Gross , Angel Rubio

Accurate and efficient tools for calculating the ground state properties of interacting quantum systems are essential in the design of nanoelectronic devices. The exact diagonalization method fully accounts for the Coulomb interaction…

Mesoscale and Nanoscale Physics · Physics 2023-05-23 Calin-Andrei Pantis-Simut , Amanda Teodora Preda , Lucian Ion , Andrei Manolescu , George Alexandru Nemnes

The realization of semiconductor structures with stable excitons at room temperature is crucial for the development of excitonics and polaritonics. Quantum confinement has commonly been employed for enhancing excitonic effects in…

The transport of fluids at the nanoscale is fundamental to manifold biological and industrial processes, ranging from neurotransmission to ultrafiltration. Yet, it is only recently that well-controlled channels with cross-sections as small…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Nikita Kavokine , Paul Robin , Lydéric Bocquet

Real physical systems are only understood, experimentally or theoretically, to a finite resolution so in their analysis there is generally an ignorance of possible short-range phenomena. It is also well-known that the boundary conditions of…

High Energy Physics - Theory · Physics 2016-06-17 David M. Jacobs

Recent experiments about the low temperature behaviour of a Single Wall Carbon Nanotube (SWCNT) showed typical Coulomb Blockade (CB) peaks in the zero bias conductance and allowed us to investigate the energy levels of interacting…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , P. Onorato

Electronic correlations together with dimensional constraints lead to some of the most fascinating properties known in condensed matter physics. As possible candidates where these conditions are realized, semiconductor (111) surfaces and…

Strongly Correlated Electrons · Physics 2013-10-09 Philipp Hansmann , Loig Vaugier , Hong Jiang , Silke Biermann

The confinement of an ionic liquid between charged solid surfaces is treated using an exactly solvable 1D Coulomb gas model. The theory highlights the importance of two dimensionless parameters: the fugacity of the ionic liquid, and the…

Soft Condensed Matter · Physics 2014-09-08 Alpha A Lee , Dominic Vella , Susan Perkin , Alain Goriely

The effective on-site Coulomb interaction (Hubbard $U$) between localized electrons at crystal surfaces is expected to be enhanced due to the reduced coordination number and reduced subsequent screening. By means of first principles…

Strongly Correlated Electrons · Physics 2015-06-11 Ersoy Sasioglu , Christoph Friedrich , Stefan Blügel

Coulomb interaction is of central importance in localized energy levels (bound states) or electronic flat bands and could result in many exotic quantum phases, such as magnetic, superconducting, and topological phases in graphene…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Zhong-Qiu Fu , Ke-Ke Bai , Ya-Ning Ren , Jiao-Jiao Zhou , Lin He

We give a detailed description of a recently proposed first principles approach to the electronic structure of strongly correlated materials. The method combines the GW approximation with dynamical mean field theory. It is designed to…

Strongly Correlated Electrons · Physics 2007-05-23 Ferdi Aryasetiawan , Silke Biermann , Antoine Georges

We present a reciprocal space technique for the calculation of the Coulomb integral in two dimensions in systems with reduced periodicity, i.e., finite systems, or systems that are periodic only in one dimension. The technique consists in…

Other Condensed Matter · Physics 2009-10-09 Alberto Castro , Esa Rasanen , Carlo Andrea Rozzi

Carbon nanotube with electric fluxes confined in one dimension is studied. We show that a Coulomb interaction \propto |x| leads to a confinement phase with many properties similar to QCD in 4D. Low-energy physics is described by the massive…

Strongly Correlated Electrons · Physics 2023-03-07 Takashi Oka

We develop two theoretical approaches for dealing with the low-energy effects of the repulsive interaction in one-dimensional electron systems. Renormalization Group methods allow us to study the low-energy behavior of the unscreened…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , P. Onorato

Coulomb interactions play an essential role in atomically-thin materials. On one hand, they are strong and long-ranged in layered systems due to the lack of environmental screening. On the other hand, they can be efficiently tuned by means…

Mesoscale and Nanoscale Physics · Physics 2021-06-04 Zhihao Jiang , Stephan Haas , Malte Rösner

We present an efficient method for simulating Coulomb systems confined by metal electrodes. The approach relies on Green functions techniques to obtain the electrostatic potential for an infinite periodically replicated system. This avoids…

Soft Condensed Matter · Physics 2017-12-14 Matheus Girotto , Alexandre P. dos Santos , Yan Levin

The present work discusses theoretical models which address the effects of electron--electron interactions and disorder in graphene planes. The starting point for the study is a simple tight-binding model for the electronic structure…

Strongly Correlated Electrons · Physics 2007-05-23 Francisco Guinea , M. Pilar Lopez-Sancho , Maria A. H. Vozmediano
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