Download - Mott-Hubbard localization: An Overview -
Transcript
![Page 1: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/1.jpg)
Mott-Hubbard localization: An Overview -
Jozef Spałek
Marian Smoluchowski Institute of Physics,
Jagiellonian University, Kraków, Poland
![Page 2: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/2.jpg)
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 -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/3.jpg)
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 -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/4.jpg)
![Page 5: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/5.jpg)
H. Kuwamoto et al., PRB 22 (1980) 2626
T
AFI
PM
PM'PI
![Page 6: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/6.jpg)
![Page 7: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/7.jpg)
![Page 8: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/8.jpg)
![Page 9: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/9.jpg)
![Page 10: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/10.jpg)
![Page 11: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/11.jpg)
![Page 12: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/12.jpg)
![Page 13: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/13.jpg)
![Page 14: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/14.jpg)
![Page 15: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/15.jpg)
![Page 16: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/16.jpg)
![Page 17: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/17.jpg)
![Page 18: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/18.jpg)
![Page 19: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/19.jpg)
![Page 20: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/20.jpg)
![Page 21: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/21.jpg)
![Page 22: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/22.jpg)
![Page 23: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/23.jpg)
![Page 24: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/24.jpg)
![Page 25: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/25.jpg)
![Page 26: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/26.jpg)
J. S. et al., PRL 59, 728 (1987) – orbitally nondegenerate;A. Klejnberg & J. S., PRB 57, 12 041 (1998) – degenerate.
![Page 27: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/27.jpg)
![Page 28: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/28.jpg)
![Page 29: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/29.jpg)
![Page 30: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/30.jpg)
![Page 31: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/31.jpg)
![Page 32: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/32.jpg)
![Page 33: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/33.jpg)
![Page 34: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/34.jpg)
![Page 35: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/35.jpg)
![Page 36: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/36.jpg)
![Page 37: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/37.jpg)
![Page 38: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/38.jpg)
![Page 39: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/39.jpg)
![Page 40: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/40.jpg)
![Page 41: Mott-Hubbard localization: An Overview -](https://reader035.vdocuments.us/reader035/viewer/2022062316/56813863550346895da0117d/html5/thumbnails/41.jpg)