Bosonization and Cluster Updating of Lattice Fermions

Abstract

A lattice fermion model is formulated in Fock space using the Jordan-Wigner representation for the fermion creation and annihilation operators. The resulting path integral is a sum over configurations of lattice site occupation numbers $n(x,t)=0,1$ which may be viewed as bosonic Ising-like variables. However, as a remnant of Fermi statistics a nonlocal sign factor arises for each configuration. When this factor is included in measured observables the bosonic occupation numbers interact locally, and one can use efficient cluster algorithms to update the bosonized variables.

7 pages Latex, no figures

References in corpus (3)

• Cluster Algorithm for Vertex Models
• Blockspin Cluster Algorithms for Quantum Spin Systems
• Blockspin Cluster Algorithms for Quantum Spin Systems

Cited by in corpus (19)

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