Variational states for the spin-Peierls system

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.

RevTeX+epsf macros, 24 pp. incl. figures, some references added

References in corpus (8)

• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• Geometric Aspects of Quantum Spin States
• Elementary excitations, exchange interaction and spin-Peierls transition in CuGeO${}_3$
• New phase diagram of Zn-doped CuGeO3
• The Stability of the Peierls Instability for Ring-Shaped Molecules
• Phase diagram and hidden order for generalized spin ladders
• Mean-field theory of the spin-Peierls systems: Application to CuGeO3

Cited by in corpus (3)

• Infinite matrix product states, Conformal Field Theory and the Haldane-Shastry model
• From Luttinger liquid to Mott insulator: the correct low-energy description of the one-dimensional Hubbard model by an unbiased variational approach
• Spinon excitation spectra of the $J_1$-$J_2$ chain from analytical calculations in the dimer basis and exact diagonalization