HΦ — English
You are here: Home Application List

Level of openness:3 ★★★ Document quality:2 ★★☆ [pickup app] 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. A broad spectrum of users including experimental researchers is cordially welcome.


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)

Lanczos algorithm, thermal pure quantum state, full diagonalization

Target models
Hubbard model, Heisenberg model, Kondo lattice model, Kitaev model, Kitaev-Heisenberg model, multi-orbital Hubbard model

Available physical quantities
specific heat, susceptibility, ground state energy, free energy, structure factors

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 reference, Comp. Phys. Commun. 217 (2017) 180-192, when you publish the results using HΦ.

Operating environment
The supercomputer system-B "sekirei'' and system-C "maki'' in ISSP
Linux PC + intel compiler, Linux PC + gcc, Mac + gcc, Mac + intel compiler


  1. Mitsuaki Kawamura, Kazuyoshi Yoshimi, Takahiro Misawa, Youhei Yamaji, Synge Todo, and Naoki Kawashima, Comp. Phys. Commun. 217 (2017) 180-192
  2. Youhei Yamaji, Yusuke Nomura, Moyuru Kurita, Ryotaro Arita, Masatoshi Imada, Phys. Rev. Lett. 113 (2014) 107201 (1-5)
  3. Takahiro Misawa, Masatoshi Imada, Phys. Rev. B 90 (2014) 115137 (1-16)
  4. Hiroshi Shinaoka, Takahiro Misawa, Kazuma Nakamura, Masatoshi Imada, J. Phys. Soc. Jpn. 81 (2012) 034701(1-12)