Mark Jarrell , Ph.D.

Mark Jarrell, PhD
Professor of Physics

Ph.D., 1987 - University of California, Santa Barbara

Louisiana State University
Department of Physics & Astronomy
285 Nicholson Hall, Tower Dr.
Baton Rouge, LA 70803-4001
(225) 578-7528-Office
(225) 578-8271-CCT

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.

Current and Selected Publications

• Alexandru Macridin, Brian Moritz, M. Jarrell, Thomas Maier, "Suppression of superconductivity in the Hubbard model by buckling and breathing phonons", cond-mat/0611067.
• Th. Maier, M. Jarrell, and D.J. Scalapino, "Spin Susceptibility Representation of the Pairing Interaction for the two-dimensional Hubbard Model", Phys. Rev. B 75, 134519 (2007)
• A. Macridin, M. Jarrell, Th. Maier, and D.J. Scalapino, "High energy kink in the single particle spectra of the two-dimensional Hubbard model", Physical Review Letters 99, id. 237001 (2007).
• T.A. Maier, A. Macridin, M. Jarrell, D.J. Scalapino, "Systematic analysis of a spin-susceptibility representation of the pairing interaction in the 2D Hubbard model", Phys. Rev. B 76, 144516 (2007) .
• M.A. Majidi, D.G.S.P. Doluweera, B. Moritz, P.R.C. Kent, J. Moreno, M. Jarrell, "Charge Density Wave Driven Ferromagnetism in the Periodic Anderson Model", arXiv:0710.5937.