The Symmetry Analysis of Piezomagnetic, Piezoelectric and Linear Magnetoelectric Effects in Nanosystems

7 The Symmetry Analysis of Piezomagnetic, Piezoelectric and Linear Magnetoelectric Effects in Nanosystems 

We will demonstrate this possibility afterwards on the examples of piezomagnetic (PM), piezoelectric (PE) and linear magnetoelectric (ME) effects in nanosystems on the basis of results from Ref. [61]. 

4 True Nanoferroics with the Properties Absent in Corresponding Bulk Samples 

The PM tensor that couples the axial magnetic field vector H with the polar strain tensor Uy, is a third rank axial tensor As any tensor components are defined by their transformation laws, we consider the form of the piezomagnetic tensors in nanomaterials quantitatively. To find the nonzero components of third rank tensors we use the system of linear equations generated by the transformation law for the axial third rank tensor describing PM (m)  

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