Abstract
A general constructive procedure is presented for analyzing magnetic instabilities in two-dimensional materials, in terms of (predominantly) double nesting, and applied to Hartree-Fock plus random-phase approximation (HF+RPA) and Gutzwiller approximation plus RPA calculations of the Hubbard model. Applied to the cuprates, it is found that competing magnetic interactions are present only for hole doping, between half filling and the Van Hove singularity. While HF+RPA instabilities are present at all dopings (for sufficiently large Hubbard U), in a Gutzwiller approximation they are restricted to a doping range close to the range of relevance for the physical cuprates. The same model would hold for charge instabilities, except that the interaction is more likely to be q dependent.
Keywords
magnetic instabilities, Gutzwiller approximation, Hartree-Fock plus random-phase approximation, Van Hove singularity, cuprates
Subject Categories
Hubbard model
Disciplines
Physics
Publisher
American Physical Society
Publication Date
1-13-2010
Rights Information
Copyright 2010 American Physical Society.
Rights Holder
American Physical Society
Recommended Citation
Markiewicz, R. S.; Lorenzana, J.; Seibold, G.; and Bansil, A., "Gutzwiller magnetic phase diagram of the cuprates" (2010). Physics Faculty Publications. Paper 392.
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Notes
Originally published in Physical Review B v.81 (2010): 014509. DOI: 10.1103/PhysRevB.81.014509