Open AccessBosonic Hofstadter butterflies in the presence of phonon modes
Author(s) -
Yury S. Krivosenko,
I. V. Iorsh,
I. A. Shelykh
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2015/1/012074
Subject(s) - phonon , square lattice , amplitude , condensed matter physics , physics , lattice (music) , vibration , lattice vibration , square (algebra) , force constant , quantum mechanics , geometry , mathematics , molecule , ising model , acoustics
We have investigated the influence of lattice sites vibrations on bosonic Hofstadter’s butterfly (HB) spectrum for the case of conventional square lattice. Only the pair of specific phonon modes with opposite quasimomenta has been taken into account. The study has shown that HB-type spectra can be substantially modified by the presence of phonons, depending on the ratios of such parameters of the system as site-to-site transition amplitudes, particle-phonon interaction constant, and characteristic vibration frequency.