Abstract
Planetary interiors experience high-pressure-high temperature conditions that give rise to unconventional states of matter, reshaping our understanding of planetary dynamics and the generation of magnetic fields. Here, using first-principles computational simulations in combination with machine-learning interatomic potentials, we predict a distinct atomic state, termed a quasi-1D superionic phase, that emerges in a stable carbohydride (CH) compound under giant planetary interior conditions. This phase originates from temperature-induced transformations and features a chiral carbon framework intertwined with dynamic hydrogen helices. At 0 K, electronic redistribution along the hydrogen sublattice induces metallization. In contrast, upon heating, carbon atoms form a rigid lattice, and hydrogen exhibits rotational motion in the xy-plane and diffusion along the z-axis, resulting in anisotropic mobility. A high-pressure-temperature phase diagram reveals sequential transitions from solid to quasi-1D superionic, 3D superionic, and fluid states. The quasi-1D superionic CH phase exhibits pronounced anisotropy in electronic, thermal, and ionic conductivity, with electronic transport predominating and the ionic contribution remaining negligible. This anisotropic behavior provides a microscopic mechanism for directional energy and charge transport under high-pressure and high-temperature conditions, offering insight into how structural anisotropy can govern transport properties in materials subjected to ultra-high pressures. This anisotropic behavior provides a microscopic mechanism for directional energy and charge transport under extreme conditions, offering new insights into the behavior of high-pressure materials and magnetic phenomena in giant and sub-Neptune exoplanets.
Similar content being viewed by others
Data availability
The data that support the findings of this study are available on Zenodo77 (https://doi.org/10.5281/zenodo.18484546). Additional supporting data and figures are provided in the Supplementary Information. Structural information in our crystal structure prediction is provided as Supplementary Data 1. We provide DFT-MD and MLP-MD simulation movies in the additional supplementary information (see Description of Additional Supplementary Information). Source data are provided in this paper.
Code availability
MAGUS, LAMMPS, DeepMD and SPR-KKR are free and open-source software packages, available at https://gitlab.com/bigd4/magus, https://lammps.sandia.gov, http://www.deepmd.org, and https://www.sprkkr.org, respectively. VASP is a commercial software package available from https://www.vasp.at. Detailed information on access, installation, and usage of these codes is provided on their respective websites. The input files used in this study are publicly available on Zenodo77 (https://doi.org/10.5281/zenodo.18484546).
References
Stanley, S. & Bloxham, J. Convective-region geometry as the cause of Uranus’ and Neptune’s unusual magnetic fields. Nature 428, 151–153 (2004).
Stanley, S. & Bloxham, J. Numerical dynamo models of Uranus’ and Neptune’s magnetic fields. Icarus 184, 556–572 (2006).
Bethkenhagen, M. et al. Planetary Ices and the Linear Mixing Approximation. ApJ 848, 67 (2017).
Hubbard, W. B. Interiors of the giant planets. Science 214, 145–149 (1981).
Nettelmann, N., Helled, R., Fortney, J. J. & Redmer, R. New indication for a dichotomy in the interior structure of Uranus and Neptune from the application of modified shape and rotation data. Planet. Space Sci. 77, 143–151 (2013).
Helled, R., Nettelmann, N. & Guillot, T. Uranus and Neptune: origin, evolution and internal structure. Space Sci. Rev. 216, 38 (2020).
Cavazzoni, C. et al. Superionic and metallic states of water and ammonia at giant planet conditions. Science 283, 44–46 (1999).
Goncharov, A. F. et al. Dynamic ionization of water under extreme conditions. Phys. Rev. Lett. 94, 125508 (2005).
French, M., Mattsson, T. R., Nettelmann, N. & Redmer, R. Equation of state and phase diagram of water at ultrahigh pressures as in planetary interiors. Phys. Rev. B 79, 054107 (2009).
Redmer, R., Mattsson, T. R., Nettelmann, N. & French, M. The phase diagram of water and the magnetic fields of Uranus and Neptune. Icarus 211, 798–803 (2011).
Wang, Y. et al. High pressure partially ionic phase of water ice. Nat. Commun. 2, 10.1038/ncomms1566 (2011).
Ninet, S., Datchi, F. & Saitta, A. M. Proton disorder and superionicity in hot dense ammonia ice. Phys. Rev. Lett. 108, 165702 (2012).
Wilson, H. F., Wong, M. L. & Militzer, B. Superionic to superionic phase change in water: consequences for the interiors of Uranus and Neptune. Phys. Rev. Lett. 110, 151102 (2013).
Sun, J., Clark, B. K., Torquato, S. & Car, R. The phase diagram of high-pressure superionic ice. Nat. Commun. 6, 8156 (2015).
Hernandez, J. A. & Caracas, R. Superionic-superionic phase transitions in body-centered cubic H2O ice. Phys. Rev. Lett. 117, 135503 (2016).
Millot, M. et al. Experimental evidence for superionic water ice using shock compression. Nat. Phys. 14, 297–302 (2018).
Millot, M. et al. Nanosecond X-ray diffraction of shock-compressed superionic water Ice. Nature 569, 251–255 (2019).
Cheng, B., Bethkenhagen, M., Pickard, C. J. & Hamel, S. Phase behaviours of superionic water at planetary conditions. Nat. Phys. 17, 1228–1232 (2021).
Prakapenka, V. B., Holtgrewe, N., Lobanov, S. S. & Goncharov, A. F. Structure and properties of two superionic ice phases. Nat. Phys. 17, 1233–1238 (2021).
Weck, G. et al. Evidence and stability field of Fcc superionic water ice using static compression. Phys. Rev. Lett. 128, 165701 (2022).
Matusalem, F., Santos Rego, J. & de Koning, M. Plastic deformation of superionic water ices. Proc. Natl. Acad. Sci. USA 119, e2203397119 (2022).
Hernandez, J. A. et al. Melting curve of superionic ammonia at planetary interior conditions. Nat. Phys. 19, 1280–1285 (2023).
Liu, C. et al. Topologically frustrated ionisation in a water-Ammonia Ice Mixture. Nat. Commun. 8, 1065 (2017).
Huang, P. et al. Stability of H3O at extreme conditions and implications for the magnetic fields of Uranus and Neptune. PNAS 117, 5638–5643 (2020).
Naden Robinson, V. & Hermann, A. Plastic and superionic phases in ammonia–water mixtures at high pressures and temperatures. J. Phys. Condens. Matter 32, 184004 (2020).
Gao, H. et al. Superionic silica-water and silica-hydrogen compounds in the deep interiors of Uranus and Neptune. Phys. Rev. Lett. 128, 035702 (2022).
Li, H. F. et al. Ultrahigh-pressure magnesium hydrosilicates as reservoirs of water in early earth. Phys. Rev. Lett. 128, 035703 (2022).
Pan, S. et al. Magnesium oxide-water compounds at megabar pressure and implications on planetary interiors. Nat. Commun. 14, 1165 (2023).
de Villa, K., González-Cataldo, F. & Militzer, B. Double superionicity in icy compounds at planetary interior conditions. Nat. Commun. 14, 7580 (2023).
Naden Robinson, V., Zong, H., Ackland, G. J., Woolman, G. & Hermann, A. On the chain-melted phase of matter. Proc. Natl. Acad. Sci. USA 116, 10297–10302 (2019).
Wang, Y. et al. Electronically driven 1D cooperative diffusion in a simple cubic crystal. Phys. Rev. X 11, 011006 (2021).
Jiang, J. et al. Rich proton dynamics and phase behaviours of nanoconfined ices. Nat. Phys. 20, 456–464(2024).
Li, J. et al. Silica-water superstructure and one-dimensional superionic conduit in Earth’s mantle. Sci. Adv. 9, eadh3784 (2023).
Snyder, G. J. & Toberer, E. S. Complex thermoelectric materials. Nat. Mater 7, 105–114 (2008).
Zhao, L. D. et al. Ultralow thermal conductivity and high thermoelectric figure of merit in SnSe crystals. Nature 508, 373–377 (2014).
Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018).
Nettelmann, N. et al. Ab initio equation of state data for hydrogen, helium, and water and the internal structure of Jupiter. ApJ 683, 1217 (2008).
Liu, C. et al. Multiple superionic states in helium–water compounds. Nat. Phys. 15, 1065–1070 (2019).
Liu, C. et al. Plastic and superionic helium ammonia compounds under high pressure and high temperature. Phys. Rev. X 10, 021007 (2020).
Shi, J. et al. Formation of ammonia–helium compounds at high pressure. Nat. Commun. 11, 3164 (2020).
Gao, H. et al. Coexistence of plastic and partially diffusive phases in a helium-methane compound. Natl. Sci. Rev. 7, 1540–1547 (2020).
Ross, M. The ice layer in Uranus and Neptune—diamonds in the sky. Nature 292, 435–436 (1981).
Gao, G. et al. Dissociation of methane under high pressure. J. Chem. Phys. 133, 144508 (2010).
Conway, L. J., Pickard, C. J. & Hermann, A. Rules of formation of H–C–N–O compounds at high pressure and the fates of planetary ices. Proc. Natl. Acad. Sci. USA 118, e2026360118 (2021).
Naumova, A. S., Lepeshkin, S. V. & Oganov, A. R. Hydrocarbons under pressure: phase diagrams and surprising new compounds in the C–H system. J. Phys. Chem. C 123, 20497–20501 (2019).
Liu, H., Naumov, I. I. & Hemley, R. J. Dense hydrocarbon structures at megabar pressures. J. Phys. Chem. Lett. 7, 4218–4222 (2016).
Sun, J., Klug, D. D. & Martoňák, R. Structural transformations in carbon under extreme pressure: beyond diamond. J. Chem. Phys. 130, 194512 (2009).
Lazicki, A. et al. Metastability of diamond ramp-compressed to 2 terapascals. Nature 589, 532–535 (2021).
Nguyen-Cong, K. et al. Extreme metastability of diamond and its transformation to the BC8 post-diamond phase of carbon. J. Phys. Chem. Lett. 15, 1152–1160 (2024).
Pickard, C. J. & Needs, R. J. Hypothetical low-energy chiral framework structure of group 14 elements. Phys. Rev. B 81, 014106 (2010).
Pickard, C. J. & Needs, R. J. Structure of phase III of solid hydrogen. Nat. Phys. 3, 473–476 (2007).
Liu, H., Wang, H. & Ma, Y. Quasi-molecular and atomic phases of dense solid hydrogen. J. Phys. Chem. C 116, 9221–9226 (2012).
Monserrat, B. Structure and metallicity of phase V of hHydrogen. Phys. Rev. Lett. 120, https://doi.org/10.1103/PhysRevLett.120.255701 (2018).
Hartley, N. J. Liquid structure of shock-compressed hydrocarbons at megabar pressures. Phys. Rev. Lett. 121, https://doi.org/10.1103/PhysRevLett.121.245501 (2018).
Kraus, D. et al. Formation of diamonds in laser-compressed hydrocarbons at planetary interior conditions. Nat. Astron 1, 606–611 (2017).
Helled, R., Mazzola, G. & Redmer, R. Understanding dense hydrogen at planetary conditions. Nat. Rev. Phys. 2, 562–574 (2020).
Militzer, B. Ab initio entropy calculations of water predict the interiors of Uranus and Neptune to Be 15%-30% colder than previous models. ApJ 990, 20 (2025).
Liu, C. & Cohen, R. E. Electrical resistivity, thermal conductivity, and viscosity of Fe-H alloys at Earth’s core conditions. Phys. Rev. B 111, 094101 (2025).
Militzer, B. Phase separation of planetary ices explains nondipolar magnetic fields of Uranus and Neptune. Proc. Natl. Acad. Sci. USA 121, e2403981121 (2024).
Brandenburg, A. & Subramanian, K. Astrophysical magnetic fields and nonlinear dynamo theory. Phys. Rep. 417, 1–209 (2005).
Xia, K. et al. A novel superhard tungsten nitride predicted by machine-learning accelerated crystal structure search. Sci. Bull. 63, 817–824 (2018).
Wang, J. et al. MAGUS: Machine learning and graph theory assisted universal structure searcher. Natl. Sci. Rev. 10, nwad128 (2023).
Han, Y. et al. Efficient crystal structure prediction based on the symmetry principle. Nat. Comput. Sci. 5, 255–267 (2025).
Kresse, G. & Furthmüller, J. Efficient iterative schemes for Ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).
Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994).
Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).
Clark, S. J. et al. First principles methods using CASTEP. Z. Kristallogr. Cryst. Mater. 220, 567 (2005).
Blaha, P., Schwarz, K., Sorantin, P. & Trickey, S. B. Full-potential, linearized augmented plane wave programs for crystalline systems. Comput. Phys. Commun. 59, 399–415 (1990).
Kühne, T. D. et al. CP2K: An electronic structure and molecular dynamics software package - quickstep: efficient and accurate electronic structure calculations. J. Chem. Phys. 152, 194103 (2020).
Klimeš, J. R., Bowler, D. R. & Michaelides, A. Chemical accuracy for the van der waals density functional. J. Phys. Condens. Matter 22, 022201 (2009).
Hammer, B., Hansen, L. B. & Nørskov, J. K. Improved adsorption energetics within density-functional theory using revised Perdew-Burke-Ernzerhof functionals. Phys. Rev. B 59, 7413–7421 (1999).
Nelson, R. et al. LOBSTER: Local orbital projections, atomic charges, and chemical-bonding analysis from projector-augmented-wave-based density-functional theory. J. Comput. Chem. 41, 1931–1940 (2020).
Hoover, W. G. Canonical dynamics: equilibrium phase-space distributions. Phys. Rev. A 31, 1695–1697 (1985).
Allen, M. P. & Tildesley, D. J. Computer Simulation of Liquids. (Oxford University Press, 2017).
Ebert, H., Ködderitzsch, D. & Minár, J. Calculating condensed matter properties using the KKR-green’s function method—recent developments and applications. Rep. Prog. Phys. 74, 096501 (2011).
Minár, J. Correlation effects in transition metals and their alloys studied using the fully self-consistent KKR-based LSDA + DMFT scheme. J. Phys. Condens. Matter 23, 253201 (2011).
Liu, C., Cohen, R. & Sun, J. Prediction of thermally driven quasi-1D superionic states in carbon hydride under giant planetary conditions. Zenodo. https://doi.org/10.5281/zenodo.18484546 (2026).
Kechin, V. V. Melting curve equations at high pressure. Phys. Rev. B 65, 052102 (2001).
Acknowledgements
J.S. gratefully acknowledges financial support from the National Natural Science Foundation of China (Grant No. 12125404 and T2495231), the Basic Research Program of Jiangsu Province (Grant No. BK20233001 and BK20253009), the Fundamental and Interdisciplinary Disciplines Breakthrough Plan of the Ministry of Education of China, the Science Challenge Project (No. TZ2025013), the AI & AI for Science Program of Nanjing University, the Artificial Intelligence and Quantum Physics (AIQ) Program of Nanjing University, and the Fundamental Research Funds for the Central Universities. The authors gratefully acknowledge computational resources provided by the High-Performance Computing Center of the Collaborative Innovation Center of Advanced Microstructures and the High-Performance Computing Center of Nanjing University. R.E.C. gratefully acknowledges financial support from the U.S. National Science Foundation CSEDI program (Grant No. EAR-1901813) and the Carnegie Institution for Science. The authors acknowledge supercomputing support from the Resnick High Performance Computing Center. The authors also acknowledge the Gauss Center for Supercomputing e.V. (http://www.gauss-centre.eu/) for providing computing time on the GCS Supercomputer SuperMUC-NG at the Leibniz Supercomputing Center (http://www.lrz.de/). We also thank Ján Minár for many helpful discussions on transport property calculations.
Author information
Authors and Affiliations
Contributions
C.L. designed the research and performed the simulations. C.L., R.E.C., and J.S. contributed to data processing, numerical simulations, and analysis. C.L. wrote the first draft of the manuscript, which R.E.C. and J.S. subsequently reviewed and improved.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Communications thanks Felipe González-Cataldo, who co-reviewed with Kyla de Villa, and the other anonymous reviewer(s) for their contribution to the peer review of this work. A peer review file is available.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Source data
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
About this article
Cite this article
Liu, C., Cohen, R.E. & Sun, J. Prediction of thermally driven quasi-1D superionic states in carbon hydride under giant planetary conditions. Nat Commun (2026). https://doi.org/10.1038/s41467-026-70603-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41467-026-70603-z


