Supersymmetry in models with strong on-site Coulomb repulsion: Application to the Heisenberg model

1998/02/07 by Tai Kai Ng, T. K. Ng, Chi-Ho Cheng · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat

paper · pdf · doi:10.1103/physrevb.59.r6616

published as Physical Review B 59, R6616 (1999) · 12 pages, Latex file, 1 figure

arxiv created 1998/02/07 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A supersymmetric way of imposing the constraint of no double occupancy in models with strong on-site Coulomb repulsion is presented in this paper. In this formulation the physical operators in the constrainted Hilbert space are invariant under local unitary transformations mixing boson and fermion representations. To illustrate, the formulation is applied to the Heisenberg, t\ensuremath-J, and infinite-U Anderson models. In particular, we study the Heisenberg model carefully in two dimensions where results on spin excitation spectrum are presented.

Cited by

• Supersymmetric mean-field theory of the t - J model
• Connection between the slave-particle andx-operator path-integral representations. A new perturbative approach

Related

• Unconventional supersymmetric quantum mechanics in spin systems
• Nontrivial Fermion States in Supersymmetric Minisuperspace
• The 2-site Hubbard and t-J models
• Heisenberg models and Schur--Weyl duality
• A quantum field theory as emergent description of constrained supersymmetric classical dynamics