DMI meaning in Academic & Science ?

Answer:

What is Dzyaloshinskii-Moriya Interaction mean?

In Physics, antisymmetric exchange, also known as the Dzyaloshinskii–Moriya interaction (DMI), is a contribution to the total magnetic exchange interaction between two neighboring magnetic spins, S i {\displaystyle \mathbf {S} _{i}} and S j {\displaystyle \mathbf {S} _{j}} . Quantitatively, it is a term in the Hamiltonian which can be written as

H i , j ( D M ) = D i j ⋅ ( S i × S j ) {\displaystyle H_{i,j}^{\rm {(DM)}}=\mathbf {D} _{ij}\cdot (\mathbf {S} _{i}\times \mathbf {S} _{j})} .

In magnetically ordered systems, it favors a spin canting of otherwise parallel or antiparallel aligned magnetic moments and thus, is a source of weak ferromagnetic behavior in an antiferromagnet. The interaction is fundamental to the production of magnetic skyrmions and explains the magnetoelectric effects in a class of materials termed multiferroics.

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