Kavli Affiliate: Jing Wang
| First 5 Authors: , , , ,
| Summary:
The interplay among 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
arising from 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 properties 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 initial value but is less sensitive to the former. Variations
in these two quantities drive certain interaction parameters toward the strong
anisotropy in the low-energy regime, indicating the screened interaction in
specific directions, and others toward an approximate isotropy. Additionally,
we observe that the tendencies of interaction parameters can be qualitatively
clustered into three distinct types of fixed points, accompanied by the
potential instabilities that induce an interaction-driven phase transition to a
certain superconducting state. Furthermore, approaching these fixed points
leads to the critical behavior of physical quantities, such as the density of
states, compressibility, and specific heat, which exhibit quite different from
their noninteracting counterparts and even deviate slightly from Fermi-liquid
behavior. Our investigation sheds light on the intricate relationship between
different types of interactions in these semimetals and provides useful
insights into their fundamental properties.
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