Mark Jarrell

jarrellphysics at

room 285 Nicholson


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: competing phases such as a Mott-Hubbard, Mott or Anderson insulators, magnetism, superconductivity, non-Fermi liquid phases, quantum criticality where the transition temperature of one or more of these phases vanishes. 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. Finally, I am interested in high-throughput methods which enable the computer to search for interesting material's properties that may be validated experimentally. For more information, please see the links below:

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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.

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