Finite-temperature Lanczos for anisotropic spin systems using triple-hybrid high-performance computing

2026/07/28 by J. Schnack
#cond-mat.str-el

paper · pdf

Abstract

Lanczos concepts are often realized on supercomputers. In view of modern architectures of high-performance computing triple-hybrid schemes employing MPI, CPU-openMP as well as GPU-openMP should be utilized. The present article sketches how such a scheme could be utilized in order to meet the demands of the finite-temperature Lanczos method for anisotropic spin systems.

Citations

• GPU-accelerated finite-temperature Lanczos method for Heisenberg spin systems with non-Abelian permutation symmetries
• Escaping the Krylov space during finite precision Lanczos
• Simultaneous Spin and Point-Group Adaptation in Exact Diagonalization of Spin Clusters
• Finite-temperature properties of doped antiferromagnets

Related

• GPU-accelerated finite-temperature Lanczos method for Heisenberg spin systems with non-Abelian permutation symmetries
• GPU-accelerated Monte Carlo simulations of anisotropic Heisenberg ferromagnets
• New Monte Carlo algorithms for classical spin systems
• Algorithmic Cooling of Spins: A Practicable Method for Increasing Polarization
• Perpendicular-anisotropy artificial spin ice with spontaneous ordering: a platform for neuromorphic computing with flexible timescales