Relativistic non-Fermi liquid fixed point in (2+1)-dimensional birefringent Dirac fermions interacting with electromagnetic fields
Wan-Zi Sun(孙万梓)1,2, Kai Liu(刘恺)1,2, Wu-Ming Liu(刘伍明)1,2,3, and Cheng-Xi Li(李成蹊)1,2,†
1 Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; 2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China; 3 Songshan Lake Materials Laboratory, Dongguan 523808, China
Abstract The system consisting of (2+1)-dimensional quasirelativistic birefringent Dirac fermions with Coulomb interactions and retarded current-current interactions is described by a quantum field theory similar to reduced quantum electrodynamics. We used the perturbative renormalization group method to study the low-energy behavior of the system and found that it flows to a fixed point of the non-Fermi liquid composed of relativistic pseudospin-1/2 Dirac fermions in the deep infrared limit. At the fixed point, the fermion Green function exhibits a finite anomalous dimension, and the residue of the quasiparticle pole vanishes in a power-law fashion. Our research provides new theoretical perspectives for understanding the origin of spin-1/2 fermions in the standard model.
Fund: Project supported by the National Key Research and Development Program of China (Grant Nos. 2021YFA1400900, 2021YFA0718300, and 2021YFA1400243), the National Natural Science Foundation of China (Grant Nos. 61835013, 12174461, and 12234012), and Space Application System of China Manned Space Program.
Corresponding Authors:
Cheng-Xi Li
E-mail: lcxtom@icloud.com
Cite this article:
Wan-Zi Sun(孙万梓), Kai Liu(刘恺), Wu-Ming Liu(刘伍明), and Cheng-Xi Li(李成蹊) Relativistic non-Fermi liquid fixed point in (2+1)-dimensional birefringent Dirac fermions interacting with electromagnetic fields 2025 Chin. Phys. B 34 057102
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