Variational model for one-dimensional quantum magnets
Strongly Correlated Electrons
2018-04-04 v1
Abstract
A new variational technique for investigation of the ground state and correlation functions in 1D quantum magnets is proposed. A spin Hamiltonian is reduced to a fermionic representation by the Jordan-Wigner transformation. The ground state is described by a new non-local trial wave function, and the total energy is calculated in an analytic form as a function of two variational parameters. This approach is demonstrated with an example of the XXZ-chain of spin-1/2 under a staggered magnetic field. Generalizations and applications of the variational technique for low-dimensional magnetic systems are discussed.
Cite
@article{arxiv.1801.10602,
title = {Variational model for one-dimensional quantum magnets},
author = {Yu. B. Kudasov and R. V. Kozabaranov},
journal= {arXiv preprint arXiv:1801.10602},
year = {2018}
}
Comments
12 pages, 2 figures