1. Highly-correlated electron phenomena, such as high-temperature cuprate  and iron-based superconductivity, magnetism and  heavy-fermion physics.

 Physics at surfaces, including dynamic phenomena and electronic and  geometrical structure.

 Quantum liquids.

 Equilibrium and non-equilibrium statistical and quantum mechanics.

  1. First-principles calculations of electronic and structural properties.

  2. Dynamical Mean Field Theory and its applications to materials design.

  3. Multi-ferroic and Ferro-electric materials.

  4. Topological states of matter, including topological insulators.

  5. Classical and Quantum Phase transitions

 Quantum statistical mechanics and field theory.

 Thermodynamics, transport and localization in disordered systems.

 Mathematical physics, centered primarily on rigorous results in statistical mechanics and quantum field theory.


New mathematical principles, involving the quantum field theory of many body systems, are required to understand the collective behavior of matter on diverse scales.  The Rutgers group has pioneered some of these new methods - with the development of the scaling theory of localization in metals, the first exact solution of the Kondo model,  the development of new methods for exploring ferroelectricity and hydrogen bonds with density functional theory, the invention of the slave boson method and dynamical mean field theory.

Spanning the frontier of condensed matter physics

The quest to understand the  principles that  govern collective behavior of matter, from the coldest quantum fluids to the simplest biological systems, poses a new frontier for 21st century science. The Rutgers Center for Materials Theory is developing the tools, the models and the new concepts needed to explore this new  world.