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To simulate a macroscopic system from a simulation cell, a direct summation of the elastic fields produced by periodic images can be used. If the cell contains a non-zero elastic dipole component, the sum is known to be conditionally…

Computational Physics · Physics 2019-02-18 Thomas Jourdan

Plane wave density functional theory codes generally assume periodicity in all three dimensions. This causes difficulties when studying charged systems, for instance energies per unit cell become infinite, and, even after being renormalised…

Materials Science · Physics 2021-04-13 MJ Rutter

Electromagnetic fields with complex spatial variation routinely arise in Nature. We study the response of a small molecule to monochromatic fields of arbitrary three-dimensional geometry. First, we consider the allowed configurations of the…

Optics · Physics 2010-11-23 Nan Yang , Adam E. Cohen

In experiments searching for a nonzero electric dipole moment of trapped particles, frequency shifts correlated with an applied electric field can be interpreted as a false signal. One such effect, referred to as the geometric phase effect,…

Nuclear Experiment · Physics 2012-05-03 Guillaume Pignol , Stephanie Roccia

We address periodic-image errors arising from the use of periodic boundary conditions to describe systems that do not exhibit full three-dimensional periodicity. The difference between the periodic potential, as straightforwardly obtained…

Other Condensed Matter · Physics 2009-11-13 Ismaila Dabo , Boris Kozinsky , Nicholas E. Singh-Miller , Nicola Marzari

The interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is investigated in an approach that deals with four-dimensional (4D) geometric quantities. The new commutation relations for the 4D…

High Energy Physics - Theory · Physics 2011-11-09 Tomislav Ivezić

At zero energy the Dirac equation has interesting behaviour. The asymmetry in the number of spin up and spin down modes is determined by the topology of both space and the gauge field in which the system sits. An analogous phenomenon also…

Optics · Physics 2019-11-20 S. A. R. Horsley

In two nearby atoms, the dipole-dipole interaction can couple transitions with orthogonal dipole moments. This orthogonal coupling accounts for a number of interesting effects, but strongly depends on the geometry of the setup. Here, we…

Quantum Physics · Physics 2009-11-13 S. I. Schmid , J. Evers

We study the phase behavior of diblock copolymers in presence of an external electric field. We employ self-consistent field theory and treat the relevant Maxwell equation as an additional self-consistent equation. Because we do not treat…

Soft Condensed Matter · Physics 2008-06-23 Chin-Yet Lin , Michael Schick , David Andelman

Molecular simulations of interfacial polar media routinely employ periodic boundary conditions parallel to the interface. We show that this lateral periodicity introduces a spatially uniform in-plane mode ($q_{\parallel}=0$) that is…

Statistical Mechanics · Physics 2026-04-14 Richard G. Hennig , Clotilde S. Cucinotta

Intrinsic aberrations are those which occur due to the finite length of the desired field configuration. They are often loosely ascribed to the fringing field. This is misleading as it implies that the effects can be minimized by shaping…

Accelerator Physics · Physics 2015-08-04 R. Baartman

Zero differential resistance state is found in response to direct current applied to 2D electron systems at strong magnetic field and low temperatures. Transition to the state is accompanied by sharp dip of negative differential resistance,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. A. Bykov , Jing-qiao Zhang , Sergey Vitkalov , A. K. Kalagin , A. K. Bakarov

In the paper some regimes of motion of an electric dipole placed in a uniform magnetic field are considered. The motion of both three-dimensional and two-dimensional dipole in the plane perpendicular to the magnetic field is studied. In the…

Strongly Correlated Electrons · Physics 2021-12-09 A. P. Dmitriev

Infinitesimal electric and magnetic dipoles are widely used as an equivalent radiating source model. In this paper, an improved method for dipole extraction from magnitude-only electromagnetic-field data based on genetic algorithm and…

Signal Processing · Electrical Eng. & Systems 2019-01-23 Chunyu Wu , Ze Sun , Xu Wang , Yansheng Wang , Ben Kim , Jun Fan

The emission spectrum of a dipole embedded in a semi-infinite photonic crystal is calculated. For simplicity we study the case in which the dielectric function is sinusoidally modulated only along the direction perpendicular to the boundary…

Condensed Matter · Physics 2009-10-31 A. G. Galstyan , M. E. Raikh , Z. V. Vardeny

It is now well established that the homogenization of a periodic array of parallel dielectric fibers with suitably scaled high permittivity can lead to a (possibly) negative frequency-dependent effective permeability. However this result…

Analysis of PDEs · Mathematics 2017-06-20 Guy Bouchitté , Christophe Bourel , Didier Felbacq

Magnetized neutron stars are privileged places where strong electromagnetic fields as high as $\BQ=4.4\times10^9$~T exist, giving rise to non-linear corrections to Maxwell equations described by quantum electrodynamics (QED). These…

High Energy Astrophysical Phenomena · Physics 2016-01-27 J. Pétri

Multipoles are paramount for describing electromagnetic fields in many areas of nanoscale optics, playing an essential role for the design of devices in plasmonics and all-dielectric nanophotonics. Challenging the traditional division into…

Despite being studied for over a century, the use of quadrupoles have been limited to Cartesian coordinates in flat spacetime due to the incorrect transformation rules used to define them. Here the correct transformation rules are derived,…

Mathematical Physics · Physics 2018-07-04 Jonathan Gratus , Thomas Banaszek

Ultracold polar molecules in multilayered systems have been experimentally realized very recently. While experiments study these systems almost exclusively through their chemical reactivity, the outlook for creating and manipulating exotic…

Quantum Physics · Physics 2013-04-19 A. G. Volosniev , J. R. Armstrong , D. V. Fedorov , A. S. Jensen , N. T. Zinner
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