Decrumpling membranes by quantum effects

Abstract

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 $1/{\alpha }_{\mathrm{c}}$. 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 $1/\ln L$.

9 pages, 4 figures

References in corpus (3)

• Quantum Statistical Mechanics of Nonrelativistic Membranes: Crumpling Transition at Finite Temperature
• Strings with Negative Stiffness and Hyperfine Structure
• Smoothening Transition of Rough Surfactant Surfaces

Cited by in corpus (5)

• First-order phase transition of fixed connectivity surfaces
• Nonvanishing string tension of elastic membrane models
• Monte Carlo studies of triangulated spherical surfaces in the two-dimensional space
• The crumpling transition of membranes driven by quantum fluctuations in a D=epsilon expansion
• In-plane deformation of a triangulated surface model with metric degrees of freedom