Relativistic non-Fermi liquid fixed point in (2+1)-dimensional birefringent Dirac fermions interacting with electromagnetic fields

doi:10.1088/1674-1056/adb9cd

中国物理B ›› 2025, Vol. 34 ›› Issue (5): 57102-057102.doi: 10.1088/1674-1056/adb9cd

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

收稿日期:2024-12-30 修回日期:2025-02-25 接受日期:2025-02-25 出版日期:2025-04-18 发布日期:2025-04-28
通讯作者: Cheng-Xi Li E-mail:lcxtom@icloud.com
基金资助:
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.

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

Received:2024-12-30 Revised:2025-02-25 Accepted:2025-02-25 Online:2025-04-18 Published:2025-04-28
Contact: Cheng-Xi Li E-mail:lcxtom@icloud.com
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: non-Fermi liquid fixed point, birefringent Dirac fermions, perturbative renormalization group, Fermi velocity renormalization

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.

Key words: non-Fermi liquid fixed point, birefringent Dirac fermions, perturbative renormalization group, Fermi velocity renormalization

中图分类号: (Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems)

71.10.Hf

11.10.Hi (Renormalization group evolution of parameters)

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[J]. 中国物理B, 2025, 34(5): 57102-057102.

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Relativistic non-Fermi liquid fixed point in (2+1)-dimensional birefringent Dirac fermions interacting with electromagnetic fields

Relativistic non-Fermi liquid fixed point in (2+1)-dimensional birefringent Dirac fermions interacting with electromagnetic fields

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