Spin 3/2 dimer model

Abstract

We present a parent Hamiltonian for weakly dimerized valence bond solid states for arbitrary half-integral S. While the model reduces for S=1/2 to the Majumdar-Ghosh Hamiltonian we discuss this model and its properties for S=3/2. Its degenerate ground state is the most popular toy model state for discussing dimerization in spin 3/2 chains. In particular, it describes the impurity induced dimer phase in Cr8Ni as proposed recently. We point out that the explicit construction of the Hamiltonian and its main features apply to arbitrary half-integral spin S.

5+ pages, 6 figures; to appear in Europhysics Letters

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• Critical Lines and Massive Phases in Quantum Spin Ladders with Dimerization
• Logarithmic delocalization of end spins in the S=3/2 antiferromagnetic Heisenberg chain
• VBS State Induced by Impurity Frustration in Cr8Ni
• Spin-1 chain with spin-1/2 excitations in the bulk

Cited by in corpus (11)

• Exact Excited States of Non-Integrable Models
• Antiferromagnetic spin-S chains with exactly dimerized ground states
• The even-odd effect in short antiferromagnetic Heisenberg chains
• Critical theory of the topological quantum phase transition in a spin-2 chain
• Dimerized ground states in spin-S frustrated systems
• Hidden Order and Dynamics in Supersymmetric Valence Bond Solid States -- Super-Matrix Product State Formalism
• Spinon excitation spectra of the $J_1$-$J_2$ chain from analytical calculations in the dimer basis and exact diagonalization
• Competition between dimerization and vector chirality in the spin-$3/2$ $J_1$-$J_2$ Heisenberg chain with uniaxial single-ion anisotropy
• Pair entanglement in dimerized spin-s chains
• Excitations and dynamical structure factor of $J_1-J_2$ spin-$3/2$ and spin-$5/2$ Heisenberg spin chains
• Confinement, deconfinement, and bound states in the spin-$1$ and spin-$3/2$ generalizations of the Majumdar--Ghosh chain