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Condensed Matter > Strongly Correlated Electrons

arXiv:cond-mat/0506324 (cond-mat)
[Submitted on 14 Jun 2005 (v1), last revised 20 Sep 2005 (this version, v2)]

Title:Systematic Low-Energy Effective Theory for Magnons and Charge Carriers in an Antiferromagnet

Authors:F. Kampfer, M. Moser, U.-J. Wiese
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Abstract: By electron or hole doping quantum antiferromagnets may turn into high-temperature superconductors. The low-energy dynamics of antiferromagnets are governed by their Nambu-Goldstone bosons -- the magnons -- and are described by an effective field theory analogous to chiral perturbation theory for the pions in strong interaction physics. In analogy to baryon chiral perturbation theory -- the effective theory for pions and nucleons -- we construct a systematic low-energy effective theory for magnons and electrons or holes in an antiferromagnet. The effective theory is universal and makes model-independent predictions for the entire class of antiferromagnetic cuprates. We present a detailed analysis of the symmetries of the Hubbard model and discuss how these symmetries manifest themselves in the effective theory. A complete set of linearly independent leading contributions to the effective action is constructed. The coupling to external electromagnetic fields is also investigated.
Comments: 53 pages, no figures, added references, extended the introduction
Subjects: Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)
Cite as: arXiv:cond-mat/0506324 [cond-mat.str-el]
  (or arXiv:cond-mat/0506324v2 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/0506324
Journal reference: Nucl.Phys. B729 (2005) 317-360
Related DOI: https://doi.org/10.1016/j.nuclphysb.2005.09.004

Submission history

From: Markus Moser [view email]
[v1] Tue, 14 Jun 2005 13:51:37 UTC (37 KB)
[v2] Tue, 20 Sep 2005 12:16:37 UTC (41 KB)
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