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.
Features
- High-performance parallel computing: Hybrid parallelization with OpenMP and MPI
- Multiple solvers: Lanczos algorithm, LOBPCG, thermal pure quantum (TPQ) state, full diagonalization
- Wide range of models: Hubbard, Heisenberg, Kondo, Kitaev, multi-orbital systems
- Rich output: Ground state energy, free energy, specific heat, susceptibility, structure factors
Quick Start
Requirements
- C compiler (Intel, GCC, Fujitsu, etc.)
- LAPACK library (Intel MKL, OpenBLAS, etc.)
- MPI library (optional, for parallel computation)
Installation
# Clone the repository
git clone https://github.com/issp-center-dev/HPhi.git
cd HPhi
# Build with CMake
mkdir build && cd build
cmake ..
make -j4
# Run tests
ctest
For detailed installation instructions, see the release notes.
Basic Usage
# Generate input files using StdFace
HPhi -s input.in
# Or run directly with expert mode
HPhi -e namelist.def
Supported Models
| Model Type | Examples |
|---|
| Hubbard | Single-band, multi-orbital Hubbard models |
| Spin | Heisenberg, XY, Ising, Kitaev, Kitaev-Heisenberg |
| Kondo | Kondo lattice model |
| t-J | t-J model |
| Spinless Fermion | Spinless fermion models |
Methods
| Method | Description |
|---|
| Lanczos | Ground state and low-lying excited states |
| LOBPCG | Block Lanczos for multiple eigenvalues |
| TPQ | Finite-temperature properties via thermal pure quantum states |
| Full Diagonalization | All eigenvalues for small systems |
| Real-time Evolution | Time-dependent simulations |
Documentation
Pre-installed Systems
- System B at The Institute for Solid State Physics (ISSP), The University of Tokyo (details)
Citation
If you use HΦ in your research, please cite:
Version 1:
M. Kawamura, K. Yoshimi, T. Misawa, Y. Yamaji, S. Todo, and N. Kawashima,
"Quantum lattice model solver HΦ",
Computer Physics Communications 217, 180 (2017)
Versions 2 & 3:
K. Ido, M. Kawamura, Y. Motoyama, K. Yoshimi, Y. Yamaji, S. Todo, N. Kawashima, and T. Misawa,
"Update of HΦ: Newly added functions and methods in versions 2 and 3",
Computer Physics Communications 298, 109093 (2024)
@article{KAWAMURA2017180,
title = {Quantum lattice model solver {H$\Phi$}},
author = {Mitsuaki Kawamura and Kazuyoshi Yoshimi and Takahiro Misawa and
Youhei Yamaji and Synge Todo and Naoki Kawashima},
journal = {Computer Physics Communications},
volume = {217},
pages = {180--192},
year = {2017},
doi = {10.1016/j.cpc.2017.04.006}
}
@article{IDO2024109093,
title = {Update of {$\mathcal{H}\Phi$}: Newly added functions and methods in versions 2 and 3},
author = {Kota Ido and Mitsuaki Kawamura and Yuichi Motoyama and
Kazuyoshi Yoshimi and Youhei Yamaji and Synge Todo and
Naoki Kawashima and Takahiro Misawa},
journal = {Computer Physics Communications},
volume = {298},
pages = {109093},
year = {2024},
doi = {10.1016/j.cpc.2024.109093}
}
License
HΦ is distributed under the GNU General Public License v3.0.
Authors
Youhei Yamaji, Takahiro Misawa, Synge Todo, Kota Ido, Yuichi Motoyama, Kazuyoshi Yoshimi, Mitsuaki Kawamura, Naoki Kawashima
Links
