First-principle calculations of the Berry curvature of Bloch states for charge and spin transport of electrons

Journal of Physics. Condensed Matter : an Institute of Physics Journal
M GradhandB L Györffy

Abstract

Recent progress in wave packet dynamics based on the insight of Berry pertaining to adiabatic evolution of quantum systems has led to the need for a new property of a Bloch state, the Berry curvature, to be calculated from first principles. We report here on the response to this challenge by the ab initio community during the past decade. First we give a tutorial introduction of the conceptual developments we mentioned above. Then we describe four methodologies which have been developed for first-principle calculations of the Berry curvature. Finally, to illustrate the significance of the new developments, we report some results of calculations of interesting physical properties such as the anomalous and spin Hall conductivity as well as the anomalous Nernst conductivity and discuss the influence of the Berry curvature on the de Haas-van Alphen oscillation.

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Citations

Mar 4, 2018·Nature Communications·Tran Trung Luu, Hans Jakob Wörner
Jan 2, 2016·Physical Review Letters·Shekhar PriyadarshiMark Bieler
Nov 18, 2018·Physical Review Letters·Chen HuHong Guo
Apr 12, 2019·Science Advances·E DerunovaM N Ali
Aug 16, 2016·Physical Review Letters·Arata Yamamoto
Feb 16, 2019·Proceedings of the National Academy of Sciences of the United States of America·Dongbin ShinAngel Rubio
Sep 8, 2018·Physical Review Letters·Dongwook GoHyun-Woo Lee
Mar 7, 2020·Physical Review Letters·J K DewhurstS Sharma
Mar 21, 2013·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Yuriy MokrousovStefan Blügel
Jun 18, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Martin Gradhand, James F Annett
Feb 27, 2018·Physical Review Letters·Ryan FreemanSergei Urazhdin
May 28, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Gan JinLixin He
May 24, 2019·Nano Letters·Chen HuHong Guo

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