Jiufeng Tu

collaborators

3 papers

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…

cond-mat.mes-hall2012

Optical selection rules in topological insulators Bi $_{2}$ Sb $_{3}$ , Bi $_{2}$ Se $_{3}$ , Bi $_{2}$ Te $_{3}$ and Sb $_{2}$ Te $_{3}$

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

We performed group theoretical investigation of symmetries of excitations in topological insulators \ce{Bi2Sb3}, \ce{Bi2Te3}, \ce{Bi2Se3} and \ce{Sb2Te3}, focusing on selection rul…

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

Optical selection rules in topological insulators Bi2​Sb3​, Bi2​Se3​, Bi2​Te3​ and Sb2​Te3​

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

Optical selection rules in topological insulators Bi $_{2}$ Sb $_{3}$ , Bi $_{2}$ Se $_{3}$ , Bi $_{2}$ Te $_{3}$ and Sb $_{2}$ Te $_{3}$