Physics – Condensed Matter – Superconductivity
Scientific paper
2010-06-22
Physics
Condensed Matter
Superconductivity
This paper has been withdrawn by the author due to the incomplete understanding of the physics involved. The formalism is work
Scientific paper
We discuss the stability of the antiferromagnetic ground state in two spatial dimensions. We start with a general analysis, based on Gribov's current-conservation techniques, of the bosonic modes in systems with magnetic order. We argue that the Goldstone $\phi$ and Higgs $h$ modes mix in antiferromagnetic systems, and this leads to an effective $hh\phi$ three-point interaction. We then analyze the instability of the antiferromagnetic system in two spatial dimensions by studying the non-perturbative behaviour of the Higgs boson self-energy using the Dyson--Schwinger equations. The ground state turns out to be unstable for all values of the three-point coupling. We interpret this as being due to the formation of a (high-$T_C$) superconducting condensate. The carrier doping dependence of the energy gap has a general behaviour that is consistent with high-$T_C$ superconductivity. Superconductivity co-exists with antiferromagnetic order for large magnetization, or small doping.
Odagiri Kosuke
Yanagisawa Takashi
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