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Pressure-modulated competition between dual charge density waves in NbSe3

Yongsheng Zhao1,2, Konstantin Glazyrin2, Pablo J. Bereciartua2, Christian Plueckthun2, Satishkumar Kulkarni3, Nana Li1, Limin Yan1,4, Kai Zhang1, Bihan Wang1,2 et al.

Yiming Wang1, Jianbo Zhang1, Nico Giordano2, Helmuth Berger5, Xin Wang6, Sonia Francoual2,*, Wenge Yang1,†, and Moritz Hoesch2,‡

  • *Contact author: sonia.francoual@desy.de
  • †Contact author: yangwg@hpstar.ac.cn
  • ‡Contact author: moritz.hoesch@desy.de

Phys. Rev. B 113, 195130 – Published 18 May, 2026

DOI: https://doi.org/10.1103/s48z-19pt

Abstract

Controlling collective electronic states through clean and reversible external stimuli is crucial for realizing functional quantum materials. Here, we report a study on temperature (T) and pressure (P)-tuned charge-density-wave (CDW) orders in the quasi-one-dimensional system of NbSe3, through single-crystal x-ray diffraction, and electric and magnetotransport measurements. A refined and extended phase diagram is presented, prompting a reevaluation of earlier claims regarding the coexistence of CDW and superconductivity (SC). Here, SC is found to emerge only once all long-range CDWs are suppressed. Notably, the anomalous Hall and magnetoresistance (MR) effects observed at low pressure (LP∼0.8GPa) may arise from distinct carrier types associated with the two competing CDWs, CDW1 and CDW2. These two coexisting CDWs, characterized by distinct modulation vectors, q1 and q2, show pressure-induced opposing shifts in their b* axis projections (denoted as q1b* and q2b*), while preserving a phase-coupling relationship 2(q1+q2) ∼[111]. Upon gradual suppression of the long range order CDW2 order, q1b* of CDW1 stabilizes and enters a decoupled regime within ∼0.8−1.3 GPa, followed by a pronounced change in its periodicity between ∼1.3 and 2.9 GPa. Above 2.9 GPa, all long-range CDW orders vanish, giving way to emergent superconductivity (SC).

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References (56)

  1. P. Monceau, Electronic crystals: An experimental overview, Adv. Phys. 61, 325 (2012).
  2. T. Giamarchi, Quantum Physics in One Dimension (Clarendon Press, Oxford University Press, 2003), Vol. 121.
  3. J. L. Hodeau, M. Marezio, C. Roucau, R. Ayroles, A. Meerschaut, J. Rouxel, and P. Monceau, Charge-density waves in NbSe3 at 145K: Crystal structures, X-ray and electron diffraction studies, J. Phys. C Solid State Phys. 11, 4117 (1978).
  4. S. Nakamura and R. Aoki, Satellite electron-diffraction in NbSe3 below T=59K, Solid State Commun. 27, 151 (1978).
  5. J. A. Wilson, Bands, bonds, and charge-density waves in the NbSe3 family of compounds, Phys. Rev. B 19, 6456 (1979).
  6. S. van Smaalen, J. L. de Boer, A. Meetsma, H. Graafsma, H.-S. Sheu, A. Darovskikh, P. Coppens, and F. Levy, Determination of the structural distortions corresponding to the q1 and q2-type modulations in niobium triselenide NbSe3, Phys. Rev. B 45, 3103 (1992).
  7. J. Schäfer, E. Rotenberg, S. D. Kevan, P. Blaha, R. Claessen, and R. E. Thorne, High-temperature symmetry breaking in the electronic band structure of the quasi-one-dimensional solid NbSe3, Phys. Rev. Lett. 87, 196403 (2001).
  8. C. W. Nicholson, C. Berthod, M. Puppin, H. Berger, M. Wolf, M. Hoesch, and C. Monney, Dimensional crossover in a charge density wave material probed by angle-resolved photoemission spectroscopy, Phys. Rev. Lett. 118, 206401 (2017).
  9. C. Brun, Z.-Z. Wang, and P. Monceau, Scanning tunneling microscopy at the NbSe3 surface: Evidence for interaction between q1 and q2 charge density waves in the pinned regime, Phys. Rev. B 80, 045423 (2009).
  10. E. C. Geil and R. E. Thorne, Spatially resolved transient dynamics of charge density waves in NbSe3, Phys. Rev. Lett. 114, 016404 (2015).
  11. C. Brun, Z.-Z. Wang, P. Monceau, and S. Brazovskii, Surface charge density wave phase transition in NbSe3, Phys. Rev. Lett. 104, 256403 (2010).
  12. M. A. Valbuena, P. Chudzinski, S. Pons, S. Conejeros, P. Alemany, E. Canadell, H. Berger, E. Frantzeskakis, J. Avila, M. C. Asensio, et al., Polarization dependence of angle-resolved photoemission with submicron spatial resolution reveals emerging one-dimensionality of electrons in NbSe3, Phys. Rev. B 99, 075118 (2019).
  13. C. W. Nicholson, E. F. Schwier, K. Shimada, H. Berger, M. Hoesch, C. Berthod, and C. Monney, Role of a higher-dimensional interaction in stabilizing charge density waves in quasi-one-dimensional NbSe3 revealed by angle-resolved photoemission spectroscopy, Phys. Rev. B 101, 045412 (2020).
  14. R. M. Fleming, D. E. Moncton, and D. B. McWhan, X-ray scattering and electric field studies of the sliding mode conductor NbSe3, Phys. Rev. B 18, 5560 (1978).
  15. S. Brazovskii, N. Kirova, H. Requardt, F. Y. Nad, P. Monceau, R. Currat, J. E. Lorenzo, G. Grübel, and C. Vettier, Plastic sliding of charge density waves: X-ray space resolved-studies versus theory of current conversion, Phys. Rev. B 61, 10640 (2000).
  16. A. Ayari, R. Danneau, H. Requardt, L. Ortega, J. E. Lorenzo, P. Monceau, R. Currat, S. Brazovskii, and G. Grübel, Sliding-induced decoupling and charge transfer between the coexisting q1 and q2 charge density waves in NbSe3, Phys. Rev. Lett. 93, 106404 (2004).
  17. A. A. Sinchenko, R. V. Chernikov, A. A. Ivanov, P. Monceau, T. Crozes, and S. A. Brazovskii, Hall effect in the pinned and sliding charge density wave state of NbSe3, J. Phys. Condens. Matter 21, 435601 (2009).
  18. A. A. Sinchenko, P. Monceau, and T. Crozes, Transverse conductivity in the sliding charge-density-wave state of NbSe3, Phys. Rev. Lett. 108, 046402 (2012).
  19. A. V. Frolov, A. P. Orlov, A. A. Sinchenko, and P. Monceau, Charge density wave sliding driven by an interplay of conventional and Hall voltages in NbSe3 microbridges, Phys. Rev. B 100, 245126 (2019).
  20. C. Lin, M. Ochi, R. Noguchi, K. Kuroda, M. Sakoda, A. Nomura, M. Tsubota, P. Zhang, C. Bareille, K. Kurokawa, et al., Visualization of the strain-induced topological phase transition in a quasi-one-dimensional superconductor TaSe3, Nat. Mater. 20, 1093 (2021).
  21. S. Ricco, M. Kim, A. Tamai, S. McKeown Walker, F. Y. Bruno, I. Cucchi, E. Cappelli, C. Besnard, T. K. Kim, P. Dudin, et al., In situ strain tuning of the metal-insulator-transition of Ca2RuO4 in angle-resolved photoemission experiments, Nat. Commun. 9, 4535 (2018).
  22. A. F. Isakovic, P. G. Evans, J. Kmetko, K. Cicak, Z. Cai, B. Lai, and R. E. Thorne, Shear modulus and plasticity of a driven charge density wave, Phys. Rev. Lett. 96, 046401 (2006).
  23. B. Yue, W. Zhong, H. Zhang, J. Zhou, J. Miao, S. Kawaguchi, H. Kadobayashi, and F. Hong, Pressure-induced superconductivity in quasi-one-dimensional ZrS3, Phys. Rev. B 110, 144515 (2024).
  24. Z. Y. Liu, Q. X. Dong, P. T. Yang, P. F. Shan, B. S. Wang, J. P. Sun, Z. L. Dun, Y. Uwatoko, G. F. Chen, X. L. Dong, Z. X. Zhao, and J.-G. Cheng, Pressure-induced superconductivity up to 9 K in the quasi-one-dimensional KMn6Bi5, Phys. Rev. Lett. 128, 187001 (2022).
  25. S. Yasuzuka, Y. Okajima, S. Tanda, N. Takeshita, N. Môri, and K. Yamaya, Pressure-induced magnetoresistance in NbSe3, J. Phys. Soc. Jpn. 69, 3470 (2000).
  26. M. Hoesch, G. Garbarino, C. Battaglia, P. Aebi, and H. Berger, Evolution of the charge density wave superstructure in ZrTe3 under pressure, Phys. Rev. B 93, 125102 (2016).
  27. R. Yomo, K. Yamaya, M. Abliz, M. Hedo, and Y. Uwatoko, Pressure effect on competition between charge density wave and superconductivity in ZrTe3: Appearance of pressure-induced reentrant superconductivity, Phys. Rev. B 71, 132508 (2005).
  28. S. L. Gleason, Y. Gim, T. Byrum, A. Kogar, P. Abbamonte, E. Fradkin, G. J. MacDougall, D. J. Van Harlingen, X. Zhu, C. Petrovic, and S. L. Cooper, Structural contributions to the pressure-tuned charge-density-wave to superconductor transition in ZrTe3: Raman scattering studies, Phys. Rev. B 91, 155124 (2015).
  29. D. DiCarlo, E. Sweetland, M. Sutton, J. D. Brock, and R. E. Thorne, Field-induced charge-density-wave deformations and phase slip in NbSe3, Phys. Rev. Lett. 70, 845 (1993).
  30. R. Bruinsma and S. E. Trullinger, Phase-locked charge-density waves in NbSe3, Phys. Rev. B 22, 4543 (1980).
  31. S. Yasuzuka, K. Murata, T. Fujimoto, M. Shimotori, and K. Yamaya, Coexistence of the upper charge-density-wave and the superconductivity in NbSe3, J. Phys. Soc. Jpn. 74, 1782 (2005).
  32. S. Yasuzuka, K. Yamaya, Y. Okajima, S. Tanda, N. Takeshita, H. Mitamura, T. Nakanishi, and N. Môri, Violation of Kohler's rule in the magnetoresistance near the lower charge-density-wave instability in NbSe3, J. Phys. Soc. Jpn. 74, 1787 (2005).
  33. M. Ido, Y. Okayama, T. Ijiri, and Y. Okajima, Pressure effect on the charge-density waves and the superconductivity in NbSe3, J. Phys. Soc. Jpn. 59, 1341 (1990).
  34. M. N. Regueiro, J. M. Mignot, and D. Castello, Superconductivity at high pressure in NbSe3, Europhys. Lett. 18, 53 (1992).
  35. S. Yasuzuka, Y. Okajima, S. Tanda, K. Yamaya, N. Takeshita, and N. Môri, Pressure effect on large magnetoresistance in the lower charge-density-wave transition of NbSe3, Phys. Rev. B 60, 4406 (1999).
  36. E. Canadell, I. E. I. Rachidi, J. P. Pouget, P. Gressier, A. Meerschaut, J. Rouxel, D. Jung, M. Evain, and M. H. Whangbo, Comparison of the electronic structures of layered transition-metal trichalcogenides thallium triselenide, thallium trisulfide and niobium triselenide, Inorg. Chem. 29, 1401 (1990).
  37. B. Guster, M. Pruneda, P. Ordejón, E. Canadell, and J.-P. Pouget, Basic aspects of the charge density wave instability of transition metal trichalcogenides NbSe3 and monoclinic-TaS3, J. Phys. Condens. Matter 33, 485401 (2021).
  38. J. A. Wilson, Concerning the discommensurate character of NbSe3, J. Phys. F Met. Phys. 12, 2469 (1982).
  39. See Supplemental Material at http://link.aps.org/supplemental/10.1103/s48z-19pt for experimental details and additional single-crystal x-ray diffraction results on NbSe3, which also includes Refs. [51, 52, 53, 54, 55, 56].
  40. R. V. Coleman, M. P. Everson, H.-A. Lu, A. Johnson, and L. M. Falicov, Effects of high magnetic fields on charge-density waves in NbSe3, Phys. Rev. B 41, 460 (1990).
  41. N. P. Ong and P. Monceau, Anomalous transport properties of a linear-chain metal: NbSe3, Phys. Rev. B 16, 3443 (1977).
  42. J. Hyun, Y. Lee, C.-y. Lim, G. Lee, J. Cha, Y. Ahn, M. Jho, S. Gim, M. Park, M. Hashimoto, D. Lu, Y. Kim, and S. Kim, Band-selective spin-charge separation across the charge density wave transition in quasi-1D NbSe3, Phys. Rev. Lett. 134, 206402 (2025).
  43. M. P. Everson, G. Eiserman, A. Johnson, and R. V. Coleman, Electric field dependence of the Hall effect in NbSe3, Phys. Rev. B 30, 3582 (1984).
  44. N. P. Ong and P. Monceau, Hall effect of a linear-chain metal: NbSe3, Solid State Commun. 26, 487 (1978).
  45. Q.-G. Mu, D. Nenno, Y. -P. Qi, F.-R. Fan, C. Pei, M. ElGhazali, J. Gooth, C. Felser, P. Narang, S. Medvedev, et al., Suppression of axionic charge density wave and onset of superconductivity in the chiral Weyl semimetal Ta2Se8I, Phys. Rev. Mater. 5, 084201 (2021).
  46. S. Wada, M. Kaburagi, Y. Saito, and R. Aoki, Superconductivity enhancement and CDW gap formation-NMR study of the pressure and impurity effects in NbSe3, J. Phys. F Met. Phys. 18, 1231 (1988).
  47. J. Schäfer, M. Sing, R. Claessen, E. Rotenberg, X. J. Zhou, R. E. Thorne, and S. D. Kevan, Unusual spectral behavior of charge-density waves with imperfect nesting in a quasi-one-dimensional metal, Phys. Rev. Lett. 91, 066401 (2003).
  48. K. Kawabata, Impurity effects on superconductivity and charge density waves in NbSe3, J. Phys. Soc. Jpn. 54, 762 (1985).
  49. N. P. Ong, Two-band model for NbSe3 (Ohmic regime), Phys. Rev. B 18, 5272 (1978).
  50. M. F. Hundley and A. Zettl, Magnetothermopower of NbSe3, Solid State Commun. 61, 587 (1987).
  51. A. G. Gavriliuk, A. A. Mironovich, and V. V. Struzhkin, Miniature diamond anvil cell for broad range of high pressure measurements, Rev. Sci. Instrum. 80, 043906 (2009).
  52. H. Mao, J.-A. Xu, and P. Bell, Calibration of the ruby pressure gauge to 800 kbar under quasi-hydrostatic conditions, J. Geophys. Res. 91, 4673 (1986).
  53. A. Celeste, F. Borondics, and F. Capitani, Hydrostaticity of pressure-transmitting media for high pressure infrared spectroscopy, High Pressure Res. 39, 608 (2019).
  54. Rigaku Oxford Diffraction, CrysAlis Pro software system, version 1.171.41.122a, Rigaku Corporation, Wroclaw, Poland (2022).
  55. A. Stierle, T. F. Keller, H. Noei, V. Vonk, and R. Roehlsberger, Desy NanoLab, JLSRF 2, A76 (2016).
  56. S. Kikkawa, N. Ogawa, M. Koizumi, and Y. Onuki, High-pressure syntheses of TaS3, NbS3, TaSe3, and NbSe3 with NbSe3-type crystal structure, J. Solid State Chem. 41, 315 (1982).

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