Theoretical Research in Statistical Mechanics

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This grant is for research in two different areas of condensed matter theory. The first part will study the properties of microemulsions using the techniques of lattice-gas theories. In particular, the system of oil, water and amphiphile will be modelled using a Blume-Emery-Griffith based Hamiltonian. Studies will also be conducted on surface melting, mixtures of chiral molecules and quantized Hall conductance. In the second part, research will be conducted on the quantum Hall effect and its relationship to hopping conductivity in mesoscopic systems, on one-dimensional quasiperiodic systems and on high temperature superconductors.