Sriram Shastry

October 2011.

Current Research Interests

Explaining the anomalous line shapes in angle resolved photoemission experiments of High Tc systems using the theory of Extremely Correlated Fermi Liquids.
Theoretical description of systems with Extreme Correlations (i.e. infinite repulsion models): Theory of the Extremely Correlated Fermi Liquid , A (Non Fermi) Quantum Liquid state .
Parameter dependent finite dimensional matrices and quantum integrability.
Theory of the Thermo-power and Thermal transport in correlated materials.
Superconductivity, Hall effect in Strongly Correlated matter.
Novel material realizations of frustrated quantum systems in low dimensions e.g. two dimensional Mott Insulating dimer system SrCu2(BO3)2, and their unusual properties. [For a fascinating connection with Archimedian lattices and other topics in 2-d magnetism see preprint by J Richter, J Schulenburg and A Honecker.]
Statistical mechanics of spin ice and other geometrically frustrated systems with ground state entropy, slow approach to equilibrium.
Quantum Chaos: Universalities in energy level spectral correlations of mesoscopic systems.
Exactly Solvable Model Systems, Quantum Integrability and star triangle relations.
1-d Hubbard model, its conservation laws, the 1/r² Model of interacting spins and s=1/2 quantum spin models in 2-d with simple ground states, studies of excitation spectra. Transport in integrable systems: driven steady states, Kohn type stiffness and twisted boundary conditions.
Theory of Raman scattering for interacting electrons on a lattice.
Theory of NMR relaxation rates in correlated electronic systems.
Mechanisms for superconductivity on lattices from repulsion: Superconductivity from uncertainty principle type squeezed degrees of freedom, Gutzwiller type variational wave functions, RVB and flux phases.

Sunset in Santa Cruz.

(Nov-Dec 2010, Sriram )

Further pictures of sunsets in Santa Cruz by Sriram. (Copyright Reserved)