A numerical solver package for a wide range of quantum lattice models including Hubbard-type itinerant electron hamiltonians, quantum spin models, and Kondo-type hamiltonians for itinerant electrons coupled with quantum spins. The Lanczos algorithm for finding ground states and newly developed Lanczos-based algorithm for finite-temperature properties of these models are implemented for parallel computing (hybrid parallelization with OpenMP and MPI). A broad spectrum of users including experimental researchers is cordially welcome.
Lanczos algorithm, thermal pure quantum state, full diagonalization
Hubbard model, Heisenberg model, Kondo lattice model, Kitaev model, Kitaev-Heisenberg model, multi-orbital Hubbard model
specific heat, susceptibility, ground state energy, free energy, structure factors
C compiler (intel, Fujitsu, GNU, etc. )
LAPACK library (intel MKL, Fujitsu, ATLAS, etc.)
MPI library (If you do not use MPI, it is not necessary.)
You can install HΦ and also get a manual for HΦ from a release note.
- System B of The Institute Solid State Physics jpint-use supercomputer (cleck here for details).
The distribution of the program package and the source codes for HPhi follow GNU General Public License version 3 (GPL v3).We hope that you cite the following references when you publish the results using HΦ (hphi):
Bibtex:
@article{KAWAMURA2017180, title = {Quantum lattice model solver HΦ}, journal = {Computer Physics Communications}, volume = {217}, pages = {180-192}, year = {2017}, issn = {0010-4655}, doi = {https://doi.org/10.1016/j.cpc.2017.04.006}, url = {https://www.sciencedirect.com/science/article/pii/S0010465517301200}, author = {Mitsuaki Kawamura and Kazuyoshi Yoshimi and Takahiro Misawa and Youhei Yamaji and Synge Todo and Naoki Kawashima} }
@article{ido2024update,
title = {Update of
}
Youhei Yamaji, Takahiro Misawa, Synge Todo, Kota Ido, Yuichi Motoyama, Kazuyoshi Yoshimi, Mitsuaki Kawamura, Naoki Kawashima.