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

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).

15 pages, 8 figures

References in corpus (1)

• Thermal Pure Quantum States of Many-Particle Systems

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