Antisymmetry

About: Antisymmetry is a research topic. Over the lifetime, 214 publications have been published within this topic receiving 7914 citations.

High-efficiency asymmetric diffraction based on PT-antisymmetry in quantum dot molecules

Abstract: Abstract We present preparation of asymmetric grating with higher diffraction efficiency in quantum dot molecules by combining the tunneling effect and parity-time antisymmetry. In the presence of tunneling between two quantum dots, the system exhibits the striking PT antisymmetry via spatially modulating the driving field and the detuning with respect to the driven transition. For this reason, the asymmetric grating could be achieved. The results show that the diffraction efficiency can be adjustable via changing the driving intensity, detuning, tunneling strength, and interaction length, and then the high-order diffraction can be reached. The scheme provides a feasible way to obtain the direction-controlled diffraction grating, which can be helpful for optical information processing and realization of controllable optical self-image.

Altermagnetism and magnetic groups with pseudoscalar electron spin

Abstract: We revise existing group-theoretical approaches for a treatment of nonrelativistic collinear magnetic systems with perfect translation invariance. We show that full symmetry groups of these systems, which contain elements with independent rotations in the spin and configuration spaces (spin groups), can be replaced by magnetic groups consisting of elements with rotations acting only on position vectors. This reduction follows from modified transformation properties of electron spin, which in the considered systems becomes effectively a pseudoscalar quantity remaining unchanged upon spatial operations but changing its sign due to an operation of antisymmetry. We introduce a unitary representation of the relevant magnetic point groups and use it for a classification of collinear magnets from the viewpoint of antiferromagnetism-induced spin splitting of electron bands near the center of the Brillouin zone. We prove that the recently revealed different altermagnetic classes correspond in a unique way to all nontrivial magnetic Laue classes, i.e., to the Laue groups containing the operation of antisymmetry only in combination with a spatial rotation. Four of these Laue classes are found to be compatible with a nonzero spin conductivity. Subsequent inspection of a simple model allows us to briefly address the physical mechanisms responsible for the spin splitting in real systems.

A new method of generating plane groups of simple and multiple antisymmetry

Abstract: A new method of generating groups of simple and multiple antisymmetry of Mm type, based on presentations of groups of symmetry and on a newly defined term of antisymmetric characteristics, is suggested and applied to generate plane groups of simple and multiple antisymmetry of Mm type from 17 plane groups of symmetry.

Multiple scattering theory with target nucleus antisymmetry

Abstract: This article presents a pedagogic introduction to multiple scattering theory. Projectile–nucleus collisions are emphasized, and particular attention is given to the treatment of antisymmetry of the target nucleus wave function. The two standard renditions of multiple scattering by Foldy–Watson and by Kerman–McManus–Thaler differ primarily in the stage at which target nucleus antisymmetry is introduced and in the properties of the Hilbert space in which intermediate quantities are evaluated.

Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes

Abstract: Two theorems are proved concerning how stationary axisymmetric electrovac spacetimes that are equatorially symmetric or equatorially antisymmetric can be characterized correctly in terms of the Ernst potentials $\E$ and $\Phi$ or in terms of axis-data.