Optimized implementation of the Lanczos method for magnetic systems

Abstract

Numerically exact investigations of interacting spin systems provide a major tool for an understanding of their magnetic properties. For medium size systems the approximate Lanczos diagonalization is the most common method. In this article we suggest two improvements: efficient basis coding in subspaces and simple restructuring for openMP parallelization.

9 pages, 2 figues, submitted to Journal of Computational Physics

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• The density-matrix renormalization group
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Magnetic characterization of the frustrated three-leg ladder compound [(CuCl2tachH)3Cl]Cl2
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• Eigenstate thermalization hypothesis in two-dimensional XXZ model with or without SU(2) symmetry
• Determination of exchange energies in the sawtooth spin ring {Mo75V20} by ESR
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• DanceQ: High-performance library for number-conserving bases
• Rényi entanglement entropy after a quantum quench starting from insulating states in a free boson system
• Evidence of Low-Energy Singlet Excited States in the Spin-1/2 Polyhedral Clusters {Mo${}_{72}$V${}_{30}$} and {W${}_{72}$V${}_{30}$} with Strongly Frustrated Kagomé Networks
• Parallel exact diagonalization solver for quantum-electron models