Jian Li

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cond-mat.mtrl-sci2014

Decomposition of direct product at an arbitrary Brillouin zone point: $D^{(★ R) (m)}$ $\otimes$ $D^{(★ - R) (m)}$

Jian Li, Jiufeng J. Tu, Joseph L. Birman

A general rule is presented for the decomposition of the direct product of irreducible representation at arbitrary Brillouin zone point $R$ with its negative: the number of th…

cond-mat.mtrl-sci2014

One dimensional zone center phonons in $O_{h}$ space group

Jian Li, Jiufeng J. Tu, Joseph L. Birman

Motivated by experiments, we performed a systematic study on the one dimensional zone center phonons in $O_{h}$ space groups. All the one dimensional phonon modes for different Wyc…

Decomposition of direct product at an arbitrary Brillouin zone point: D(★R)(m) ⊗ D(★−R)(m)

One dimensional zone center phonons in Oh​ space group

Decomposition of direct product at an arbitrary Brillouin zone point: $D^{(★ R) (m)}$ $\otimes$ $D^{(★ - R) (m)}$

One dimensional zone center phonons in $O_{h}$ space group