Influence of oxygen vacancy on the electronic structure of HfO$_2$ film
Deok-Yong Cho, Jae-Min Lee, S.-J. Oh, Hoyoung Jang, J.-Y. Kim, J.-H., Park, A. Tanaka

TL;DR
This study explores how oxygen vacancies affect the electronic structure of HfO₂ thin films, revealing band-tail states and occupation of Hf 5d states without inducing ferromagnetism, challenging previous claims.
Contribution
It provides new insights into the electronic states caused by oxygen vacancies in HfO₂ and clarifies the absence of ferromagnetism in such defective films.
Findings
Band-tail states beneath Hf 5d band observed
Occupation of Hf 5d states confirmed
No long-range ferromagnetic order detected
Abstract
We investigated the unoccupied part of the electronic structure of the oxygen-deficient hafnium oxide (HfO) using soft x-ray absorption spectroscopy at O and Hf edges. Band-tail states beneath the unoccupied Hf 5 band are observed in the O -edge spectra; combined with ultraviolet photoemission spectrum, this indicates the non-negligible occupation of Hf 5 state. However, Hf -edge magnetic circular dichroism spectrum reveals the absence of a long-range ferromagnetic spin order in the oxide. Thus the small amount of electron gained by the vacancy formation does not show inter-site correlation, contrary to a recent report [M. Venkatesan {\it et al.}, Nature {\bf 430}, 630 (2004)].
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