Sodium vacancy ordering and the co-existence of localized spins and itinerant charges in NaxCoO2
F. C. Chou, M. -W. Chu, G. J. Shu, F. T. Huang, Woei Wu Pai, H. S., Sheu, T. Imai, F. L. Ning, and Patrick A. Lee

TL;DR
This paper investigates the sodium vacancy ordering in NaxCoO2, revealing stable Na concentrations linked to superlattice structures, and discusses the coexistence of localized spins with itinerant charges, providing insights into its complex electronic behavior.
Contribution
It introduces a detailed model connecting Na ordering with localized spins and itinerant electrons, advancing understanding of NaxCoO2's electronic phases.
Findings
Stable Na concentrations associated with superlattice ordering.
Coexistence of localized spins and itinerant charges.
Small Fermi energy of 87 K at x=0.84.
Abstract
The sodium cobaltate family (NaxCoO2) is unique among transition metal oxides because the Co sits on a triangular lattice and its valence can be tuned over a wide range by varying the Na concentration x. Up to now detailed modeling of the rich phenomenology (which ranges from unconventional superconductivity to enhanced thermopower) has been hampered by the difficulty of controlling pure phases. We discovered that certain Na concentrations are specially stable and are associated with superlattice ordering of the Na clusters. This leads naturally to a picture of co-existence of localized spins and itinerant charge carriers. For x = 0.84 we found a remarkably small Fermi energy of 87 K. Our picture brings coherence to a variety of measurements ranging from NMR to optical to thermal transport. Our results also allow us to take the first step towards modeling the mysterious ``Curie-Weiss''…
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