Michael Hinczewski
Postdoctoral Researcher
TÜBITAK - Bosphorus University Feza Gürsey Institute
Çengelköy 34684, Istanbul, Turkey
tel: +90-216-308-9432, fax: +90-216-308-9427
e-mail: mgh@gursey.gov.tr

We are developing position-space renormalization-group techniques to study three-dimensional lattice fermion systems like the Hubbard and tJ models, in an attempt to understand the phase diagram of high-temperature superconductors. These techniques allow us to obtain finite-temperature phase diagrams over the whole doping range of the models, and examine the effects of features like impurities and strong interlayer anisotropy.
(Collaborating with A.N. Berker, O.S. Sariyer)

We are designing hierarchical lattices which incorporate various features of real-world complex networks, such as scale-free degree distributions, high clustering, the small-world effect, and fractal, modular structure. The great advantage of these lattices is that equilibrium statistical physics systems, like the Ising model, can be solved exactly on them through renormalization-group methods, even in the presence of quenched disorder.
(Collaborating with A.N. Berker)

In order to investigate recent unusual experimental observations about the dynamics of double-stranded DNA molecules in solution, we are studying the behavior of semiflexible polymers in solvent using two different approaches: Brownian dynamics simulations and a mean-field model with hydrodynamical pre-averaging.
(Collaborating with R.R. Netz)

We are using techniques that allow us to calculate the renormalization-group flows of quenched random probability distributions for hierarchical lattice spin glasses, yielding exact phase diagrams and other thermodynamic information. We are studying several aspects of the Ising spin glass, including a recent conjecture on the location of multicritical points in the phase diagram, and the effects of uniaxial anisotropy in the three-dimensional system.
(Collaborating with A.N. Berker, C. Güven, H. Nishimori)

We are working on novel cluster hierarchical lattice models designed to reproduce the behavior of Ising spin glasses in the presence of magnetic fields. By calculating the field-induced magnetization from the renormalization-group flows, we can search for possible signatures of low-temperature Griffiths singularities.
(Collaborating with H. Nishimori)