Correlated Electron Systems: Challenges and Future

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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 V2O3 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 NiSe2-xSx
Miyasaka and Takagi (2000)
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Failure of the Standard Model NiSe2-xSx
Miyasaka and Takagi (2000)
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Failure of the Standard Model NiSe2-xSx
Miyasaka and Takagi (2000)
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Anomalous Resistivity and Mott transition Ni
Se2-x Sx
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 NiSe2-xSx
Miyasaka and Takagi (2000)
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Transport in k organics
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Ising critical endpoint! In V2O3
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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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