Variational bound for the energy of two-dimensional quantum antiferromagnet

1993/07/31 by A. A. Ovchinnikov
Physics and Astronomy · #cond-mat

paper · pdf

published as Pisma Zh.Eksp.Teor.Fiz. 57 (1993) 796-800 · 7 pages, LaTex, JETP Letters (Pisma v ZhETF) 57 (1993) 796-800

arxiv created 1993/08/01 · arxiv updated 2009/11/30

Abstract

We obtain the variational upper bound for the ground- state energy of two-dimensional antiferromagnetic Heisenberg model on a square lattice at arbitrary value of the anisotropy parameter using the two-dimensional generalization of Jordan-Wigner transformation. Our result can be considered as an upper bound for the perturbation theory series about the Ising limit.

Related

• Tensor Product Variational Formulation for Quantum Systems
• Energy of the nearest neighbor RVB state by systematic loop expansion
• Variational bounds on the ground-state energy of three electrons and one hole in two-dimension
• Revisiting a variational study of the quantum J₁-J₁^'-J₂ spin-1/2 Heisenberg antiferromagnet
• Independent Bond Fluctuation Approximation to the Ground State of Quantum Antiferromagnets