Conductivity and the current-current correlation measure

Jean Michel Combes, Francois Germinet, Peter D. Hislop

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We review various formulations of conductivity for one-particle Hamiltonians and relate them to the current-current correlation measure. We prove that the current-current correlation measure for random Schrödinger operators has a density at coincident energies provided the energy lies in a localization regime. The density vanishes at such energies and an upper bound on the rate of vanishing is computed. We also relate the current-current correlation measure to the localization length.

Original languageEnglish
Article number474010
JournalJournal of Physics A: Mathematical and Theoretical
Issue number47
StatePublished - Nov 26 2010

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy (all)


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