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What makes an insulator different from a metal?

 

作者: Raffaele Resta,  

 

期刊: AIP Conference Proceedings  (AIP Available online 1900)
卷期: Volume 535, issue 1  

页码: 67-78

 

ISSN:0094-243X

 

年代: 1900

 

DOI:10.1063/1.1324441

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The insulating state of matter is characterized by the excitation spectrum, but also by qualitative features of the electronic ground state. The insulating ground wavefunction in fact: (i) displays vanishing dc conductivity; (ii) sustains macroscopic polarization; and (iii) islocalized. The idea that the insulating state of matter is a consequence of electron localization was first proposed in 1964 by W. Kohn. I discuss here a novel definition of electron localization, rather different from Kohn’s, and deeply rooted in the modern theory of polarization. In fact the present approach links the two features (ii) and (iii) above, by means of essentially the same formalism. In the special case of an uncorrelated crystalline solid, the localization of the many body insulating wavefunction is measured according to our definition by the spread of the Wannier orbitals; this spread diverges in the metallic limit. In the correlated case, the novel approach to localization is demonstrated by means of a two-band Hubbard model in one dimension, undergoing a transition from band insulator to Mott insulator. ©2000 American Institute of Physics.

 

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