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Correlated Electrons: Missing Spectroscopies

By: Dr. Zahid Hasan

The electronic structure of Mott insulators continues to be an unsolved problem in physics despite more than half-century of intense research efforts. Well-developed momentum-resolved spectroscopies such as photoemission and neutron scattering cannot fully address problems associated with the Mott gap as angle-resolved photoemission (ARPES) can only probe the occupied states and neutrons do not couple to the electron's charge directly. Our recent observation of dispersive particle-hole pair excitations across the charge gap (effective Mott gap) in several low dimensional prototype cuprate Mott insulators using high resolution resonant inelastic x-ray scattering suggests that the gap is highly anisotropic and momentum dependent. In addition, the dispersion in 1-D is anomalously large which has been interpreted as the evidence of holons (spinless collective charge mode) in 1-D. Resonant x-ray scattering can also provide useful insights about the doped Mott systems as in the case of doped manganese oxides where in addition to charge and spin, orbital degrees of freedom play a crucial role in determining the physics of these systems.

{I'll also briefly touch upon the potential use of such x-ray scattering in studying soft or biosystems if time permits.}

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