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Correlated Electron Systems: Challenges and Future Gabriel Kotliar Rutgers University

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What do we want from materials theory? New concepts, qualitative ideas Understanding, explanation of existent experiments, and predictions of new ones. Quantitative capabilities with predictive power.

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Materials Theory a) System specific properties. b) General principles, universal features. Qualitative insights, quantitative techniques, analytical and computational. Development of methods and algorithms, and study of system specific applications. Balanced Approach

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Mott transition and superexchange

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Mott transition in V 2 O 3 under pressure or chemical substitution on V-site

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Phase Diagram k Organics

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Mott transition in layered organic conductors S Lefebvre et al. cond-mat/0004455, Phys. Rev. Lett. 85, 5420 (2000)

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Failure of the Standard Model: NiSe 2-x S x Miyasaka and Takagi (2000)

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Failure of the Standard Model: NiSe 2-x S x Miyasaka and Takagi (2000)

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Failure of the Standard Model: NiSe 2-x S x Miyasaka and Takagi (2000)

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Anomalous Resistivity and Mott transition Ni Se 2-x S x Insights from DMFT: think in term of spectral functions (branch cuts) instead of well defined QP (poles )

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Evolution of the Spectral Function

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Double Occupancy vs U CDMFT Parcollet, Biroli GK

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Pressure Driven Mott transition

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Failure of the Standard Model: NiSe 2-x S x Miyasaka and Takagi (2000)

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Transport in k organics

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Ising critical endpoint! In V 2 O 3

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Mott transition in CDMFT

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Strong frustration limit. Anomalous transfer of spectral weight connected to the proximity to the Ising Mott endpoint (Kotliar Lange and Rozenberg Phys. Rev. Lett. 84, 5180 (2000)

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