Bootstrap Approximations in Contractor Renormalization

Abstract

We propose a bootstrap method for approximating the long-range terms in the Contractor Renormalization (CORE) method. The idea is tested on the 2-D Heisenberg antiferromagnet and the frustrated J_2-J_1 model. We obtain renormalization group flows that directly reveal the Neel phase of the unfrustrated HAF and the existence of a phase transition in the J_2-J_1 model for weak frustration. However, we find that this bootstrap method is dependent on blocking and truncation schemes. For this reason, we discuss these dependencies and unresolved issues that researchers who use this approach must consider.

Some clarifications added for Phys Rev submission

References in corpus (3)

• Numerical Contractor Renormalization Method for Quantum Spin Models
• Theoretical studies of the phase transition in the anisotropic 2-D square spin lattice
• Contractor-Renormalization approach to frustrated magnets in magnetic field

Cited by in corpus (1)

• ENCORE: An Extended Contractor Renormalization algorithm