Kavli Affiliate: Jing Wang
| First 5 Authors: Wen Liu, Wen-Hao Bian, Xiao-Zhuo Chu, Jing Wang,
| Summary:
Employing the renormalization group approach, we carefully investigate the
critical behavior of two-dimensional tilted semi-Dirac semimetals induced by
the fermion-fermion interactions in the low-energy regime. After incorporating
all one-loop corrections, we derive the coupled RG equations of all related
parameters and introduce two distinct strategies, named as Strategy I and
Strategy II, to describe different scenarios. A detailed numerical analysis
yields several interesting behavior in the low-energy limit. At first, we
notice that the fermion-fermion interactions either vanish or diverge in the
Strategy I, depending on the initial values of the tilting parameter and the
fermionic couplings, whereas these interactions in the Strategy II always
diverge at a certain critical energy scale, which is associated with the
initial conditions. Next, the microstructural parameter $alpha$ and the
fermion velocity $v_F$ in the Strategy I share the similar behavior with their
Strategy II counterparts. It is observed that fermion-fermion interactions lead
to an increase in $alpha$ while driving a decrease in $v_F$. Furthermore, the
system can either be attracted by the Gaussian fixed point (GFP) or certain
relatively fixed point (RFP) in the Strategy I. However, it always flow towards
the RFP in the Strategy II at the lowest-energy limit. These results would
provide helpful insights into the studies on observable quantities and phase
transitions in the two-dimensional tilted semi-Dirac semimetals and the
analogous semimetals.
| Search Query: ArXiv Query: search_query=au:”Jing Wang”&id_list=&start=0&max_results=3