Antisymmetric exchange information

Physics, antisymmetric exchange, also known as the Dzyaloshinskii–Moriya interaction (DMI), is a contribution to the total magnetic exchange interaction...

be antisymmetric when two electrons are exchanged, i.e. interchanged with respect to both spatial and spin coordinates. First, however, exchange will...

}} holds when the tensor is antisymmetric with respect to its first three indices. If a tensor changes sign under exchange of each pair of its indices...

contrasting each other: isotropic exchange would align the spins exactly antiparallel, while antisymmetric exchange arising from relativistic effects...

bonds are canted, the superexchange will be accompanied by the antisymmetric exchange known as the Dzyaloshinskii–Moriya interaction, which prefers orthogonal...

symmetric and antisymmetric states are in a sense special, by examining a particular symmetry of the multiple-particle states known as exchange symmetry....

(location exchange), for a total of (−1) as needed for antisymmetry. Antisymmetric spin and antisymmetric under parity. In this case, the exchange of the...

antiferromagnetic. This theory developed into what is now known as antisymmetric exchange. A related scheme is the classification of Aizu species which consist...

rigorous statement is: under the exchange of two identical particles, the total (many-particle) wave function is antisymmetric for fermions and symmetric for...

the exchange operator. Such a state is either completely symmetric under exchange of all identical bosons or completely antisymmetric under exchange of...

sometimes including further neighbours or using different exchange coupling, such as antisymmetric exchange, is required. Magnetic properties of two-dimensional...

be controlled by applied electric currents and magnetic fields. Antisymmetric exchange Magnetic skyrmion Ferromagnetic resonance Perreault, Christopher...

orthoferrites are particularly interesting because of the presence of an antisymmetric exchange interaction which involves the vector cross product of neighboring...

magnetic moment varies from layer to layer by a small angle due to the antisymmetric exchange. Upon cooling to temperatures below Tc = 29 K, MnSi changes from...

1063/1.1683559. Castner, T. G.; Seehra, Mohindar S. (1971). "Antisymmetric Exchange and Exchange-Narrowed Electron-Paramagnetic-Resonance Linewidths". Physical...

baryon must be antisymmetric under the exchange of any two quarks. This antisymmetric wavefunction is obtained by making it fully antisymmetric in color, discussed...

above is not antisymmetric under exchange of any two of the fermions, as it must be according to the Pauli exclusion principle. An antisymmetric wave function...

of basis keep antisymmetric matrices antisymmetric, although strictly speaking, the quantity A(x,y) is not a matrix but an antisymmetric rank-two tensor...

electrons) requires antisymmetry under simultaneous exchange of spin and coordinates (totally antisymmetric wavefunction condition) ψ i j ( r 1 , r 2 ) = −...

operator that makes a wave function of N identical fermions antisymmetric under the exchange of the coordinates of any pair of fermions. After application...

identical particles (in 3D) is either totally symmetric (Bosons) or totally antisymmetric (Fermions) under interchange of any pair of particles. Exceptions can...

functions which are ortho or symmetric to exchange of the two nuclei, and three which are para or antisymmetric. Ortho states correspond to even rotational...

material. Most notably, the tensor α {\displaystyle \alpha } must be antisymmetric under time-reversal symmetry. Therefore, the linear magnetoelectric...

symmetric or antisymmetric with respect to this rotation depending upon whether an even or odd number of pairs of fermion nuclear pairs are exchanged. A given...

half-integer spin and obeying the Pauli exclusion principle, correspond to antisymmetric tensor products. Bosons, possessing integer spin (and not governed by...

orbital (i.e. with the + sign as above) must be multiplied with an antisymmetric spin function (i.e. with a − sign), and vice versa. Thus: χ ( s 1 ,...