Introduction
============

The tutorial is composed of several examples on using the ComRISB package,
which performs DFT/LQSGW+GRISB calculations of real materials.
The package is developed by Yongxin Yao, Sangkook Choi, Andrey Kutepov, 
Byungkyun Kang, Nicola Lanata, Gabriel Kotliar, 
with contributions from Tsung-Han Lee, Xiaoyu Deng, Rogers John, among others.

The Gutzwiller-rotationally invarient slave-boson (GRISB) theory, 
algorithm, and implementation is based on refs. [prx2015]_, 
[prl2017]_, and [prb2021]_. 
The FlapwMBPT package performs the DFT/LQSGW calculations [Kutepov2017]_.
ComRISB shares the same interface of the ComDMFT package 
with slight modifications [Choi2109]_.


.. [prx2015] Lanatà, Nicola, Yongxin Yao, Cai-Zhuang Wang, Kai-Ming Ho,
   and Gabriel Kotliar. 2015.
   ''Phase Diagram and Electronic Structure of Praseodymium and Plutonium.''
   Phys. Rev. X 5 (1): 011008.
   doi:10.1103/PhysRevX.5.011008.

.. [prl2017] Lanatà, Nicola, Yongxin Yao, Xiaoyu Deng, Vladimir Dobrosavljević,
   and Gabriel Kotliar. 2017.
   ''Slave Boson Theory of Orbital Differentiation with Crystal Field Effects:
   Application to UO :sub:`2`.''
   Phys. Rev. Lett. 118 (12): 126401.
   doi:10.1103/PhysRevLett.118.126401.

.. [prb2021] J. Rogers, T.-H. Lee, S. Pakdel, W. Xu, V. Dobrosavljević, 
   Y.-X. Yao, O. Christiansen, and N. Lanatà, 
   ''Bypassing the Computational Bottleneck of Quantum-Embedding Theories 
   for Strong Electron Correlations with Machine Learning.'' 
   Phys. Rev. Research 3, 013101 (2021).
   doi:10.1103/PhysRevResearch.3.013101.

.. [Kutepov2017] A.L. Kutepov, V.S. Oudovenko, G. Kotliar,
    Linearized self-consistent quasiparticle GW method:
    Application to semiconductors and simple metals,
    Comput. Phys. Commun. 219 (2017) 407-414.

.. [Choi2109] S. Choi, P. Semon, B. Kang, A. Kutepov, and G. Kotliar,
    ComDMFT: A Massively Parallel Computer Package for the Electronic Structure
    of Correlated-Electron Systems,
    Comput. Phys. Commun. 244, 277 (2019).