Acknowledgement

We would like to express our sincere gratitude to Mr. Daisuke Tahara for providing us his code of variational Monte Carlo method. A part of mVMC is based on his original code. We also acknowledge Dr. Hiroshi Shinaoka, Dr. Youhei Yamaji, Dr. Moyuru Kurita, and Dr. Ryui Kaneko for their cooperation on developing mVMC. We would also like to thank the support from “Project for advancement of software usability in materials science” by The Institute for Solid State Physics, The University of Tokyo, for development of mVMC ver.0.1, ver. 0.2, and ver. 1.0.