3 years ago

Variational model for one-dimensional quantum magnets.

R. V. Kozabaranov, Yu. B. Kudasov

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.

Publisher URL: http://arxiv.org/abs/1801.10602

DOI: arXiv:1801.10602v1

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