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arXiv · 1703.03637

Quantum Lattice Model Solver ${\mathcal H}\Phi$

Mitsuaki Kawamura·Kazuyoshi Yoshimi·Takahiro Misawa·Youhei Yamaji·Synge Todo·Naoki Kawashima
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Abstract

${\mathcal H}\Phi$ [$aitch$-$phi$] is a program package based on the Lanczos-type eigenvalue solution applicable to a broad range of quantum lattice models, i.e., arbitrary quantum lattice models with two-body interactions, including the Heisenberg model, the Kitaev model, the Hubbard model and the Kondo-lattice model. While it works well on PCs and PC-clusters, ${\mathcal H}\Phi$ also runs efficiently on massively parallel computers, which considerably extends the tractable range of the system size. In addition, unlike most existing packages, ${\mathcal H}\Phi$ supports finite-temperature calculations through the method of thermal pure quantum (TPQ) states. In this paper, we explain theoretical background and user-interface of ${\mathcal H}\Phi$. We also show the benchmark results of ${\mathcal H}\Phi$ on supercomputers such as the K computer at RIKEN Advanced Institute for Computational Science (AICS) and SGI ICE XA (Sekirei) at the Institute for the Solid State Physics (ISSP).

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Mitsuaki Kawamura, Kazuyoshi Yoshimi, Takahiro Misawa, Youhei Yamaji, Synge Todo, Naoki Kawashima. 2017-03-10. Quantum Lattice Model Solver ${\mathcal H}\Phi$. https://doi.org/10.1016/j.cpc.2017.04.006

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