Variational states for the spin-Peierls system

TL;DR

This paper introduces a flexible family of variational states for quasi-one-dimensional spin systems, effectively modeling different ground states and aiding in the study of complex spin interactions like in CuGeO_3.

Contribution

The authors develop a new family of Jastrow pair product states that interpolate between known spin liquid and valence bond solid states, enhancing variational analysis of spin chains.

Findings

States form an excellent basis for variational studies

Effective in modeling spin-Peierls systems like CuGeO_3

Interpolates between different known ground states

Abstract

We introduce a family of Jastrow pair product states for quasi one-dimensional spin systems. Depending on a parameter they interpolate between the resonating valence bond ground state of the Haldane-Shastry model describing a spin liquid and the (dimerized) valence bond solid ground states of the Majumdar-Ghosh spin chain. These states are found to form an excellent basis for variational studies of Heisenberg chains with next nearest neighbour interaction and bond alternation as realized in the spin-Peierls system CuGeO_3.