THEORY OF THE INSULATING STATE,

Abstract

A nw and more comprehensive characterization of the insulating state of matter is developed. This characterization includes the conventional insulators with genergy gap as well as systems discussed by Mott which, in band theory, would be metals. The essential property is this: Every low lying wave-function of an insulating ring breaks up into a sum of functions, which are localized in disconnected regions of the many particle configuration space and have essentially vanishing overlap. This property is the analog of localization for a single particle and leads directly to the electrical properties characteristic of insulators. An appendix deals with a soluble model exhibiting a transition between an insulating and a conducting state. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0422275

Entities

People

  • Walter Kohn

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Band Structures
  • Band Theory Of Solids
  • Dielectric Properties
  • Dielectrics
  • Electrical Properties
  • Electricity
  • Energy Bands
  • Particles
  • Physical Properties
  • Transitions
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.
  • Thermal Physics or Thermal Science.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene
  • Space