Decrumpling membranes by quantum effects

Details Decrumpling membranes by quantum effects Decrumpling membranes by quantum effects

2000-03-22

arxiv.org/abs/cond-mat/0003362v1

Physics

Condensed Matter

9 pages, 4 figures

Scientific paper

10.1209/epl/i2001-00188-3

The phase diagram of an incompressible fluid membrane subject to quantum and thermal fluctuations is calculated exactly in a large number of dimensions of configuration space. At zero temperature, a crumpling transition is found at a critical bending rigidity $1/\alpha_{\rm c}$. For membranes of fixed lateral size, a crumpling transition occurs at nonzero temperatures in an auxiliary mean field approximation. As the lateral size L of the membrane becomes large, the flat regime shrinks with $1/\ln L$.

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