Landau Fermi Liquids and Beyond

Vikram Tripathi obtained his B. Sc (H) Physics degree from St. Stephen's College, University of Delhi in 1994. During 1994-2000, he was at Trinity College, University of Cambridge studying for his Natural Sciences Tripos and M.Sci (Physics) (1994-97); and Ph.D. (Physics) (1997-2000). After two years of postdoctoral work at Rutgers University, New Jersey, USA, he returned to the University of Cambridge to take up a four-year Junior Research Fellowship at Trinity College (2002-06). He is an Associate Professor in the Department of Theoretical Physics at the Tata Institute of Fundamental Research (TIFR) and has been with TIFR since September 2006. His general research interest is in the area of strongly correlated electron systems (SCES) - quantum systems where particle interactions are significant compared with their kinetic energies. His research work since 2006 can be categorized under three broad topics in strongly correlated electron systems, and involves both purely theoretical work as well as collaboration with experimentalists: 1. Electronic transport and noise, magnetism, quasi long-range electronic order in mesoscopic structures; 2. Coulomb effects in strongly disordered superconductors; 3. Impurity effects in quantum spin-liquids.

Part I: Phenomenology of Fermi Liquids. Quasiparticle Concept. Pomeranchuk Stability Conditions. Collective Excitations and Zero Sound. Scattering Theory. Fermi liquid regime of the Kondo problem. Part II: Fermi liquid regime of the Kondo problem. Response of an Ideal Fermi Gas. Collective Excitations. Effect of Disorder on Electron Interactions. Bridging Phenomenological and Microscopic Aspects. Part III: Beyond Fermi Liquid Theory. Effect of Ampere Forces in Fermi Liquids. Overscreened Kondo Model and Nozi`eres-Blandin Theory. Part IV: Open Questions. Electron Lifetime in a Mesoscopic Conductor. Marginal Fermi Liquids.