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Results tagged with symmetry
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user 173081
Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.
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Symmetry arguments on the Berry connection and the polarization charge
\mathrm dk_x \, \mathrm dk_y \mathrm{Tr}(\mathbf{A})
$$
of a crystalline system (with discrete translation symmetry). … If the unit cell has both time-reversal symmetry and parity symmetry (such as mirror symmetry about the x-axis), then should $\mathbf{A}$ satisfy $\mathbf{A}(\mathbf{k}) = -\mathbf{A}(-\mathbf{k})$? …
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How to map the symmetry property of the lattice unit cell to the symmetry properties of eige...
The ground state (singlet) eigen mode has C6v symmetry and the 1st order state (doublet) eigen modes has C3v symmetry, in $\mathbf{r}$ space. … Is there a general rule that maps the symmetry group of the lattice unit cell to the symmetry groups of the eigen modes? …
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