https://doi.org/10.1140/epjp/s13360-025-06154-x
Regular Article
Low-energy critical behavior in two-dimensional tilted semi-Dirac semimetals driven by fermion–fermion interactions
1
Department of Physics, Longyan University, 364012, Longyan, People’s Republic of China
2
Department of Physics, Tianjin University, 300072, Tianjian, People’s Republic of China
3
School of Physics, Nanjing University, 210093, Nanjing, Jiangsu, People’s Republic of China
4
Tianjin Key Laboratory of Low Dimensional Materials Physics and Preparing Technology, Tianjin University, 300072, Tianjin, People’s Republic of China
Received:
20
September
2024
Accepted:
19
February
2025
Published online:
21
March
2025
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 
and the fermion velocity 
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 while driving a decrease in . 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 flows toward 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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
