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23 April 2024
 
  » arxiv » cond-mat/0606662

 Article overview


From the Hubbard Model to a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet
C. Brügger ; F. Kämpfer ; M. Moser ; M. Pepe ; U.-J. Wiese ;
Date 26 Jun 2006
Subject Strongly Correlated Electrons
AbstractThe low-energy physics of antiferromagnets is governed by their Goldstone bosons -- the magnons -- and it is described by a low-energy effective field theory. In analogy to baryon chiral perturbation theory, we construct the effective field theory for magnons and holes in an antiferromagnet. It is a systematic low-energy expansion based on symmetry considerations and on the fact that the holes are located in pockets centered at k=(pi/2a,pm pi/2a). Even though the symmetries are extracted from the Hubbard model, the effective theory is universal and makes model-independent predictions about the dynamical mechanisms in the antiferromagnetic phase. The low-energy effective theory has been used to investigate one-magnon exchange which leads to a d-wave-shaped bound state of holes.
Source arXiv, cond-mat/0606662
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