Research Interests: My main area of interest lies in the physics of strongly correlated electronic materials which include many nanostructures, high Tc superconductors, and heavy Fermion and magnetic materials. These materials are characterized by one or more of the following phenomena: a Mott-Hubbard insulating phase, magnetism, non-Fermi liquid behavior or a very small Fermion degeneracy energy. In general, exact solutions of models of these systems are not possible, and attempts to use uncontrolled analytic techniques have met with limited success. However, in addition to the usual many-body techniques, I have developed techniques which separate the problem into strongly interacting and weakly interacting parts. The weakly interacting parts are treated with either perturbation theory or mean-field approaches, and then integrated out of the action. The remaining strongly interacting part of the action may be mapped to a small effective cluster problem which is treated with Quantum Monte Carlo (QMC) or other non-perturbative approaches. I have also developed methods used to analytically continue QMC imaginary time results to real frequencies. This allows QMC simulations to address experiments such as reflectivity, photoemission, inelastic neutron scattering and transport. For more information, please see the links below:
For more information about my research:
Other Research Related Links:
Wilkins' List of Online Journals and Databases.
ISI Institute for Scientific Information.
Woonki Chung , 1991-1996, Thesis: Quantum Monte Carlo Study of Electron Correlation Effects in Superconductors , Position: System Administrator, Georgetown University Dept. of Physics.
Amitava (Amit) Chattopadhyay 1993-1998, Thesis: Non-Fermi-Liquid Ground States in Certain Heavy Fermion Systems, Position: Research Scientist, IBM Almaden.
Alireza Tahvildarzadeh 1993-1998, Thesis: A Numerical Study of Strongly Correlated Electron Systems, Position: Postdoc, Georgetown University.
Thomas Maier (shared with Th. Pruschke) 1996-2000, Thesis: Non-Local Dynamical Correlations in Strongly Interacting Fermion Systems, Position: Wigner Fellow, Oak Ridge National Labs.
Karan Aryanpour 1999-2003, Thesis: Approximation Techniques in Strongly Correlated Electron Systems, Position: Postdoc at University of California, Davis.
Muhammad Aziz Majid (shared with J. Moreno), 1999-2006, Thesis: Computational Studies of Ferromagnetism in Strongly Correlated Electronic Systems, Position: postdoc Univ. of North Dakota.
B.Q. Cao (shared with J. Meller), Thesis: On Applications of Statistical Learning to Biophysics, Postdoc at Postdoc at U. of Nebraska.
Cyrill Slezak (shared with R. Endorf), 2001-2006, Thesis: Methods for Correlated Electron Systems Assistant Professor at Hillsdale College.
Majid Nili (shared with Juana Moreno), 20??-2010, Thesis: Ferromagnetism and Transport in Diluted Magnetic Semiconductors, Postdoc at Penn State.
Herbert Fotso (shared with Juana Moreno), 2005-2011, Thesis: Two-Particle Level Diagrammatic Approaches for Strongly Correlated Systems, Postdoc at Georgetown.
Matthias Hettler. Institut fuer Nanotechnologie, Karlsruhe, Germany.
William Putikka. Assoc. Prof., The Ohio State University (Mansfield).
Samuel Moukouri. Assistant Prof., University of Michigan.
Thomas Maier, Wigner Fellow, Oak Ridge National Laboratory.
Juana Moreno, Assistant Professor, University of North Dakota.
Brian Moritz, SLAC research staff.
Paul Kent, ORNL/UT JINCS.
Alex Macridin, FermiLab Research Staff.
My Present Research Group:
Postdocs: Valy Rousseaus, Ka Ming Tam, Sandeep Pathak
Teaching Interests: During the development of a graduate course in classical electrodynamics I became heavily involved in the use of computers in graduate education. I find that my students can use computer to solve more realistic homework problems, visualize their answers, and reduce the algebraic tedium. The computer also allows me to distribute the related courseware, and provide more realistic classroom demonstrations in the various electronic classrooms on campus. Two courses are being developed in this way. Please see the links below for more information.
Useful Guides, HowTo's, Templates, etc.:
Linux and Compuational links (or click on the penguin above).
John Wilkins' Onepagers (guides for writing, speaking...).
Wilkins' Other Links.
Templates and guides for writing papers with RevTex4.