ZrTe3 is a prototypical quasi-one-dimensional compound undergoing a charge density wave (CDW) transition via a very sharp Kohn anomaly in phonon momentum space. While Fermi surface geometry has long been considered the primary driver of the instability, a full understanding of the lattice dynamics and electron-phonon role has remained elusive. Our first-principles calculations in the high-symmetry phase show that the Fermi surface is correctly reproduced only when the Hubbard interaction on the Te 5⁢𝑝 orbitals is included, which in turn is essential for the appearance of a soft harmonic phonon mode at the CDW wave vector. Analyzing the mode and momentum dependence of the electron-phonon coupling, we find that its variations with phonon momentum dominate over electronic effects. These results identify unambiguously the CDW origin in ZrTe3 as a cooperative effect of Fermi surface geometry and momentum-dependent electron-phonon coupling, with the latter playing the leading role. We further determine the atomic structure in the low-symmetry CDW phase, revealing a nonchiral modulation. The mechanisms revealed in our work are directly relevant to other quasi-1D systems, including trichalcogenides and compounds hosting Peierls-like chains.

Fermi surface geometry and momentum-dependent electron-phonon coupling drive the charge density wave in quasi-one-dimensional ZrTe3 / Diego, J., Calandra, M.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 113:17(2026). [10.1103/yslr-zv4t]

Fermi surface geometry and momentum-dependent electron-phonon coupling drive the charge density wave in quasi-one-dimensional ZrTe3

Diego, Josu;Calandra, Matteo
2026-01-01

Abstract

ZrTe3 is a prototypical quasi-one-dimensional compound undergoing a charge density wave (CDW) transition via a very sharp Kohn anomaly in phonon momentum space. While Fermi surface geometry has long been considered the primary driver of the instability, a full understanding of the lattice dynamics and electron-phonon role has remained elusive. Our first-principles calculations in the high-symmetry phase show that the Fermi surface is correctly reproduced only when the Hubbard interaction on the Te 5⁢𝑝 orbitals is included, which in turn is essential for the appearance of a soft harmonic phonon mode at the CDW wave vector. Analyzing the mode and momentum dependence of the electron-phonon coupling, we find that its variations with phonon momentum dominate over electronic effects. These results identify unambiguously the CDW origin in ZrTe3 as a cooperative effect of Fermi surface geometry and momentum-dependent electron-phonon coupling, with the latter playing the leading role. We further determine the atomic structure in the low-symmetry CDW phase, revealing a nonchiral modulation. The mechanisms revealed in our work are directly relevant to other quasi-1D systems, including trichalcogenides and compounds hosting Peierls-like chains.
2026
17
Diego, Josu; Calandra, Matteo
Fermi surface geometry and momentum-dependent electron-phonon coupling drive the charge density wave in quasi-one-dimensional ZrTe3 / Diego, J., Calandra, M.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 113:17(2026). [10.1103/yslr-zv4t]
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