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We investigate the effects of randomness in a strongly correlated electron model in one-dimension at half-filling. The ground state correlation functions are exactly written by products of 3$\times$3 transfer matrices and are evaluated…

Strongly Correlated Electrons · Physics 2009-10-28 Masanori Yamanaka , Mahito Kohmoto

We evaluate the van der Waals (vdW) interaction energy at zero temperature between two undoped strained graphene layers separated by a finite distance. We consider the following three models for the anisotropic case: (a) where one of the…

Materials Science · Physics 2014-06-25 Anand Sharma , Peter Harnish , Alexander Sylvester , Valeri N. Kotov , A. H. Castro Neto

The long-range correlation energies and the off-diagonal interactions are studied and a general formula for correlation energy $E_c$ of the $\pi$ electron systems is given, which is beyond the nearest-neighbor electron-electron interactions…

Other Condensed Matter · Physics 2008-08-09 Hua Zhao

Van der Waals interactions between two neutral but polarizable systems at a separation $R$ much larger than the typical size of the systems are at the core of a broad sweep of contemporary problems in settings ranging from atomic, molecular…

High Energy Physics - Phenomenology · Physics 2017-06-14 Nora Brambilla , Vladyslav Shtabovenko , Jaume Tarrús Castellà , Antonio Vairo

I address here the question of the mutual interplay of strong correlations and disorder in the system. I consider random version of the Hubbard model. Diagonal randomness is introduced {\it via} random on-site energies and treated by the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Karol I. Wysokinski

We studied the van der Waals interactions of two finite, solid, cylindrical rods at arbitrary angle and position with respect to each other. An analytic interpolative formula for the interaction potential energy is constructed, based on…

Soft Condensed Matter · Physics 2018-10-03 Jack A. Logan , Alexei V. Tkachenko

We derive solutions of the Schr\"{o}dinger equation for the isotropic van der Waals interaction in a symmetric harmonic trap, with the recent approach [arXiv:2207.09377 (2022)] to handle the multi-scale long-range potential. Asymptotic…

Atomic Physics · Physics 2024-11-11 Ruijie Du

In a framework for long-range density-functional theory we present a unified full-field treatment of the asymptotic van der Waals interaction for atoms, molecules, surfaces, and other objects. The only input needed consists of the electron…

Condensed Matter · Physics 2009-10-31 Erika Hult , Henrik Rydberg , Bengt I. Lundqvist , David C. Langreth

We obtained new nonrelativistic expression for the dynamical van der Waals atom -surface interaction energy of very convenient form for different applications. It is shown that classical result (Ferrell and Ritchie, 1980) holds only for a…

Other Condensed Matter · Physics 2011-08-10 G. V. Dedkov , A. A. Kyasov

We theoretically study the polarizability and the interactions of neutral complexes consisting of a semi-flexible polyelectrolyte adsorbed onto an oppositely charged spherical colloid. In the systems we studied, the bending energy of the…

Soft Condensed Matter · Physics 2009-11-07 J. Dzubiella , A. G. Moreira , P. A. Pincus

We predict a discriminatory interaction between a chiral molecule and an achiral molecule which is mediated by a chiral body. To achieve this, we generalize the van der Waals interaction potential between two ground-state molecules with…

Quantum Physics · Physics 2017-05-19 Pablo Barcellona , Hassan Safari , A. Salam , Stefan Yoshi Buhmann

Long range electrostatic and van der Waals coefficients up to terms of order R-8 have been evaluated by the sum over states method using ab initio and time dependent density functional theory. We employ several widely used density…

Chemical Physics · Physics 2015-05-30 Jason N. Byrd , Robin Cote , John A. Montgomery

Stochastic density functional theory (SDFT) has been widely used to study the out of equilibrium properties of electrolyte solutions. Examples include investigations of electrical conductivity -- both within and beyond linear response --…

Soft Condensed Matter · Physics 2025-09-15 Guangle Du , Bing Miao , David S. Dean

The van der Waals interaction between two polarizable atoms is considered. In three dimensions the standard form with an attractive $1/|R|^6$ potential is obtained from second-order quantum perturbation theory. When the electron motion is…

Quantum Physics · Physics 2015-01-22 A. C. Ipsen , K. Splittorff

We investigate the effect of monopolar charge disorder on the classical fluctuation-induced interactions between randomly charged net-neutral dielectric slabs and discuss various generalizations of recent results (A. Naji et al., Phys. Rev.…

Soft Condensed Matter · Physics 2015-05-19 Jalal Sarabadani , Ali Naji , David S. Dean , Ron R. Horgan , Rudolf Podgornik

It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

We consider a multiatomic system where the nuclei are assumed to be point charges at fixed positions. Particles interact via Coulomb potential and electrons have pseudo-relativistic kinetic energy. We prove the van der Waals-London law,…

Mathematical Physics · Physics 2022-11-16 Jean-Marie Barbaroux , Michael Hartig , Dirk Hundertmark , Semjon Vugalter

Using fourth-order perturbation theory, a general formula for the van der Waals potential of two neutral, unpolarized, ground-state atoms in the presence of an arbitrary arrangement of dispersing and absorbing magnetodielectric bodies is…

Quantum Physics · Physics 2007-05-23 Hassan Safari , Stefan Yoshi Buhmann , Dirk-Gunnar Welsch , Ho Trung Dung

We investigate electron transport in disordered Hubbard chains contacted to macroscopic leads, via the non-equilibrium Green's functions technique. We observe a cross-over of currents and conductances at finite bias which depends on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Daniel Karlsson , Claudio Verdozzi

Using a recently obtained (general) formula for the interaction energy between an excited and a ground-state atom (Sherkunov Y 2007 Phys. Rev. A 75 012705), we consider the interaction energy between two such atoms near the interface…

Quantum Physics · Physics 2008-04-10 Marin-Slobodan Tomas