Density-wave tendency from a topological nodal-line perspective

doi:10.1088/1674-1056/acbc6b

Abstract The understanding of density waves is a vital component of our insight into electronic quantum matters. Here, we propose an additional mosaic to the existing mechanisms such as Fermi-surface nesting, electron-phonon coupling, and exciton condensation. In particular, we find that certain two-dimensional (2D) spin density-wave systems are equivalent to three-dimensional (3D) Dirac nodal-line systems in the presence of a magnetic field, whose electronic structure takes the form of Dirac-fermion Landau levels and allows a straightforward analysis of its optimal filling. The subsequent minimum-energy wave vector varies over a continuous range and shows no direct connection to the original Fermi surfaces in 2D. Also, we carry out numerical calculations where the results on model examples support our theory. Our study points out that we have yet to attain a complete understanding of the emergent density wave formalism.

Keywords: density waves Dirac nodal-line optimal wave vector

Received: 06 September 2022
Revised: 11 November 2022
Accepted manuscript online: 16 February 2023

PACS:	73.61.-r	(Electrical properties of specific thin films)
	71.70.Di	(Landau levels)

Fund: We thank Xin-Chi Zhou and Di-Zhao Zhu for insightful discussions. Project supported by the National Key Research and Development Program of China (Grant No. 2022YFA1403700) and the National Natural Science Foundation of China (Grant Nos. 12174008 and 92270102). The calculations of this work are supported by the HPC facilities at Peking University.

Corresponding Authors: Yi Zhang
E-mail: frankzhangyi@pku.edu.cn

Cite this article:

Tianlun Zhao(赵天伦) and Yi Zhang(张亿) Density-wave tendency from a topological nodal-line perspective 2023 Chin. Phys. B 32 057304

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