Kavli Affiliate: Jing Wang
| First 5 Authors: Jing Wang, Jie-Qiong Li, Wen-Hao Bian, Qiao-Chu Zhang, Xiao-Yue Ren
| Summary:
The interplay between Coulomb interaction, electron-phonon coupling, and
phonon-phonon coupling has a significant impact on the low-energy behavior of
three-dimensional type-I tilted Dirac semimetals. To investigate this
phenomenon, we construct an effective theory, calculate one-loop corrections
contributed by all these interactions, and establish the coupled
energy-dependent flows of all associated interaction parameters by adopting the
renormalization group approach. Deciphering such coupled evolutions allows us
to determine a series of low-energy critical outcomes for these materials. At
first, we present the low-energy tendencies of all interaction parameters. The
tilting parameter exhibits distinct tendencies that depend heavily upon the
initial anisotropy of fermion velocities. In comparison, the latter is mainly
dominated by its own initial value but less sensitive to the former. With
variance of these two quantities, parts of the interaction parameters are
driven towards the strong anisotropy in the low-energy, indicating the screened
interaction in certain directions, while others tend to move towards an
approximate isotropy. Additionally, we observe that the tendencies of
interaction parameters can be qualitatively clustered into three distinct types
of fixed points, accompanying the potential instabilities around which certain
interaction-driven phase transition is trigged. Furthermore, approaching such
fixed points leads to physical quantities, such as the density of states,
compressibility, and specific heat, exhibiting behavior that is significantly
different from their non-interacting counterparts and even deviates slightly
from Fermi-liquid behavior. Our investigation sheds light on the intricate
relationship between different types of interactions in these semimetals, and
provide useful insights into their fundamental properties.
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