Materials for which, a single-particle description of electronic properties fails, are classified as correlated electron systems. Interest in these derives from the wide range of phenomena they exhibit such as high temperature superconductivity in cuprates, heavy fermions in lanthanides/actinides, colossal magnetoresistance in manganites and metal-insulator transitions in transition metal oxides. In recent years, there has been a resurgence of technological interest in these materials, which stems from the extraordinary sensitivity of transport and thermodynamic properties in these materials to external parameters such as temperature and pressure. Despite the decades of research in this area, enormous challenges remain for theoreticians and experimentalists. Our group employs diagrammatic perturbation theory based techniques of quantum many body theory to understand these materials in the framework of simple models; the focus being to address issues relating to transport and thermodynamics, especially of heavy fermion systems and transition metal oxides.
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