Nodal-Line Semimetals with Non-Quantized Berry Phase
Abstract
Nodal-line semimetals (NLSMs) are topological materials characterized by one-dimensional band crossings in momentum space, which typically carry a Berry phase quantized to integer multiples of π. Here, we extend the conventional paradigm to a class of NLSMs in which the Berry phase can take arbitrary fractional or even irrational multiples of π. This non-quantized Berry phase leads to a splitting of Landau levels when a magnetic field is applied parallel to the nodal ring, an effect that can be detected via Shubnikov-de Haas oscillations in the magnetoconductivity. Despite the absence of a quantized topological invariant, drumhead-like surface states with weak dispersion persist at open boundaries. Notably, two identical surface states localize on the same boundary, in contrast to conventional NLSMs, where they reside on opposite boundaries. A systematic symmetry analysis shows that such NLSMs can be realized in a broad range of magnetic space groups. Our work opens a new avenue for exploring NLSMs beyond the conventional framework of a quantized Berry phase.
Related
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- Magnetic-field-activated transport from band geometry in gapped nodal-line semimetals
- Tilt-controlled Drude anisotropy in nodal-line semimetals: logarithmic enhancement, interband correction, gauge consistency, and the Landau-damping window
- Plasmon modes in tilted three-dimensional nodal-ring semimetals. I. 𝒫𝒯-symmetric nodal ring and its gapped cousin
- Plasmon modes in tilted three-dimensional nodal-ring semimetals. II. Vortex nodal ring
BibTeX
@misc{li2026nodalline,
title = {{Nodal-Line Semimetals with Non-Quantized Berry Phase}},
author = {Zhi-Xia Li and Liangliang Huang and Min-Xue Yang and Feng Tang and D. Y. Xing and Wei Chen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29719},
eprint = {2609.29719},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29719},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nodal-Line Semimetals with Non-Quantized Berry Phase
AU - Zhi-Xia Li
AU - Liangliang Huang
AU - Min-Xue Yang
AU - Feng Tang
AU - D. Y. Xing
AU - Wei Chen
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29719
UR - https://arxiv.org/abs/2609.29719
AB - Nodal-line semimetals (NLSMs) are topological materials characterized by one-dimensional band crossings in momentum space, which typically carry a Berry phase quantized to integer multiples of π. Here, we extend the conventional paradigm to a class of NLSMs in which the Berry phase can take arbitrary fractional or even irrational multiples of π. This non-quantized Berry phase leads to a splitting of Landau levels when a magnetic field is applied parallel to the nodal ring, an effect that can be detected via Shubnikov-de Haas oscillations in the magnetoconductivity. Despite the absence of a quantized topological invariant, drumhead-like surface states with weak dispersion persist at open boundaries. Notably, two identical surface states localize on the same boundary, in contrast to conventional NLSMs, where they reside on opposite boundaries. A systematic symmetry analysis shows that such NLSMs can be realized in a broad range of magnetic space groups. Our work opens a new avenue for exploring NLSMs beyond the conventional framework of a quantized Berry phase.
ER -