首页|Unconventional phonon spectra and obstructed edge phonon modes
Unconventional phonon spectra and obstructed edge phonon modes
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Based on the elementary band representations(EBR),many topologically trivial materials are classified as unconventional ones(obstructed atomic limit),where the EBR decomposition for a set of electronic states is not consistent with atomic valence-electron band representations.In the work,we identify that the unconventional nature can also exist in phonon spectra,where the EBR decomposition for a set of well-separated phonon modes is not consistent with atomic vibration band representations(ABR).The unconventionality has two types:type Ⅰ is on an empty site;and type Ⅱ is on an atom site with non-atomic vibration orbitals.The unconventionality is described by the nonzero real-space invariant at the site.Our detailed calculations show that the black phosphorus(BP)has the type Ⅰ unconventional phonon spectrum,while 1H-MoSe2 has the type Ⅱ one,although their electronic structures are also unconventional.Accordingly,the obstructed phonon modes are obtained for two types of unconventional phonon spectra.