Correlated Electron Systems: Challenges and Future Gabriel Kotliar Rutgers University
Jan 11, 2016
Correlated Electron Systems: Challenges and Future
Gabriel Kotliar
Rutgers University
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.
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
Mott transition and superexchange
Mott transition in V2O3 under pressure or chemical substitution on V-site
Phase Diagram k Organics
Mott transition in layered organic conductors S Lefebvre et al.
cond-mat/0004455, Phys. Rev. Lett. 85, 5420 (2000)
Failure of the Standard Model: NiSe2-xSxMiyasaka and
Takagi (2000)
Failure of the Standard Model: NiSe2-xSx
Miyasaka and Takagi (2000)
Failure of the Standard Model: NiSe2-xSxMiyasaka and
Takagi (2000)
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 )
Evolution of the Spectral Function
Double Occupancy vs U
• CDMFT Parcollet, Biroli GK
Pressure Driven Mott transition
Failure of the Standard Model: NiSe2-xSxMiyasaka and
Takagi (2000)
Transport in k organics
Ising critical endpoint! In V2O3
Mott transition in CDMFT
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)