Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-08-09
Phys. Rev. B 84, 155133 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
18 pages, 1 figure
Scientific paper
We analyze the infrared behavior of effective N-point interactions between order parameter fluctuations for nematic and other quantum critical electron systems with a scalar order parameter in two dimensions. The interactions exhibit a singular momentum and energy dependence and thus cannot be represented by local vertices. They diverge for all N greater or equal 4 in a collinear static limit, where energy variables scale to zero faster than momenta, and momenta become increasingly collinear. The degree of divergence is not reduced by any cancellations and renders all N-point interactions marginal. A truncation of the order parameter action at quartic or any other finite order is therefore not justified. The same conclusion can be drawn for the effective action describing fermions coupled to a U(1) gauge field in two dimensions.
Metzner Walter
Thier Stephan
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