Self-avoiding Tethered Membranes at the Tricritical Point

Details Self-avoiding Tethered Membranes at the Tricritical Point Self-avoiding Tethered Membranes at the Tricritical Point

1995-03-23

arxiv.org/abs/cond-mat/9503126v1

Nucl. Phys. B 450 [FS] (1995) 495-557

Physics

Condensed Matter

57 pages, gz-compressed ps-file

Scientific paper

10.1016/0550-3213(95)00275-W

The scaling properties of self-avoiding tethered membranes at the tricritical point (theta-point) are studied by perturbative renormalization group methods. To treat the 3-body repulsive interaction (known to be relevant for polymers), new analytical and numerical tools are developped and applied to 1-loop calculations. These technics are a prerequisite to higher order calculations for self-avoiding membranes. The cross-over between the 3-body interaction and the modified 2-body interaction, attractive at long range, is studied through a new double epsilon-expansion. It is shown that the latter interaction is relevant for 2-dimensional membranes at the theta-point.

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