Renormalization techniques for quantum spin systems: Ground-state energies

W.J. Caspers

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    Abstract

    Projection of the Hamiltonian of an antiferromagnetic lattice of spins , without external fields, onto a subspace of the total spinor space gives an approximation for the lowest eigenvalue of this Hamiltonian. Repeated projection results in a series expansion for this approximation. In each projection the form of the Hamiltonian is conserved. The formal structure of this projection technique shows a strong analogy with the Wilson theory or renormalization-group theory of phase transitions. Numerical results are given for linear chains and triangular lattice.
    Original languageEnglish
    Pages (from-to)223-263
    JournalPhysics reports
    Volume63
    Issue number4
    DOIs
    Publication statusPublished - 1980

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