This article reviews the basic theoretical aspects of graphene, a one-atom-thick allotrope of
carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons …

Carbon is one of the most intriguing elements in the Periodic Table. It forms many allotropes,
some known from ancient times (diamond and graphite) and some discovered 10-20 years …

The physics of graphene is acting as a bridge between quantum field theory and condensed
matter physics due to the special quality of the graphene quasiparticles behaving as …

Vesicles consisting of a bilayer membrane of amphiphilic lipid molecules are remarkably
flexible surfaces that show an amazing variety of shapes of different symmetry and topology …

Sensitive micropipet methods have been used to measure the relation between tension and
the projected surface area in fluid membranes of vesicles over a 4-order-of-magnitude range …

Understanding the structural and thermodynamic properties of surfaces, interfaces, and
membranes is important for both fundamental and practical reasons. Important applications …

Membranes composed of amphiphilic molecules are highly flexible surfaces that determine
the architecture of biological systems and provide a basic structural element for complex …

We study the interplay between crystalline (or hexatic) order and thermal fluctuations in
membranes with vanishing surface tension. If the connectivity of the crystalline state is …

The production of strings (disclination lines and loops) has been observed by means of the
Kibble mechanism of domain (bubble) formation in the isotropic-nematic phase transition of …

This graduate level text describes in a unified fashion the statistical mechanics of random
walks, random surfaces and random higher dimensional manifolds with an emphasis on the …