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Mott-Hubbard localization: An Overview - Jozef Spałek Marian Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland

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Page 1: Mott-Hubbard localization: An Overview - Jozef Spałek Marian Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland

Mott-Hubbard localization: An Overview -

Jozef Spałek

Marian Smoluchowski Institute of Physics,

Jagiellonian University, Kraków, Poland

Page 2: Mott-Hubbard localization: An Overview - Jozef Spałek Marian Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland

CONTENTS

1. V2O3, NiS2-xSex, 3He

2. Mott-Hubbard, charge-transfer, Kondo lattices

3. Effective-mass divergence:Fermi liquid atomic states

4. Effect of orbital ordering:V2O3? LaMnO3 (insulators)

Page 3: Mott-Hubbard localization: An Overview - Jozef Spałek Marian Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland

a) Metal

b) Mott-Hubbard insulator

Plane waves(Bloch states)

Atomic states

Either be wholly slaves or wholly free.(John Dryden, 1687)

Delocalized versus localized

Page 4: Mott-Hubbard localization: An Overview - Jozef Spałek Marian Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland
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H. Kuwamoto et al., PRB 22 (1980) 2626

T

AFI

PM

PM'PI

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J. S. et al., PRL 59, 728 (1987) – orbitally nondegenerate;A. Klejnberg & J. S., PRB 57, 12 041 (1998) – degenerate.

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