From one to two dimensions in quantum spin systems
Abstract
We study the first derivative of the staggered magnetization squared dm(θ)2/dθ and the second derivative d2e0(θ)/dθ2 of the ground state energy per site. The parameter θ controls the anisotropy between horizontal and vertical couplings in a two-dimensional (2D) spin-1/2 antiferromagnetic Heisenberg model. It is shown, that both derivatives diverge at θ=1, where the anisotropic 2D model reduces to the 1D model.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.