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HΦ

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An exact diagonalization package for a wide range of quantum lattice models (e.g. multi-orbital Hubbard model, Heisenberg model, Kondo lattice model). HΦ also supports the massively parallel computations. The Lanczos algorithm for obtaining the ground state and thermal pure quantum state method for finite-temperature calculations are implemented. In addition, dynamical Green’s functions can be calculated using Kω, which is a library of the shifted Krylov subspace method. It is possible to perform simulations for real-time evolution from ver. 3.0.

Information
Last Update:2024/06/14

Official site

http://www.pasums.issp.u-tokyo.ac.jp/hphi/en/

License

GNU GPL version 3
This software is developed under the support of “Project for advancement of software usability in materials science” by The Institute for Solid State Physics, The University of Tokyo. We hope that you cite the references, Comp. Phys. Commun. 217 (2017) 180-192 and Comput. Phys. Commun. 298, 109093 (2024), when you publish the results using HΦ (hphi).

Availability

The supercomputer system-B “sekirei”, “ohtaka” and system-C “enaga” in ISSP
Linux PC + intel compiler, Linux PC + gcc, Mac + gcc, Mac + intel compiler
Core Developers

Youhei Yamaji (Quantum-Phase Electronics Center, The University of Tokyo), Takahiro Misawa (Institute for Solid State Physics, The University of Tokyo), Synge Todo (Department of Physics, The University of Tokyo), Kazuyoshi Yoshimi (Institute for Solid State Physics, The University of Tokyo), Mitsuaki Kawamura (Institute for Solid State Physics, The University of Tokyo), Naoki Kawashima (Institute for Solid State Physics, The University of Tokyo), Kota Ido (Institute for Solid State Physics, The University of Tokyo)
Target substance/model

Hubbard model, Heisenberg model, Kondo lattice model, Kitaev model, Kitaev-Heisenberg model, multi-orbital Hubbard model
Physical quantities that can be computed

specific heat, susceptibility, ground state energy, free energy, structure factors
Methodology

Lanczos algorithm, thermal pure quantum state, full diagonalization
Parallelization

MPI/OpenMP hybrid parallelization is supported.

GPGPU is available in full diagonalization method (from ver. 3.1).
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