Non-ergodic fluctuations of mesoscopic insulators with spin-orbit coupling

R. Rangel, E. Medina

Research output: Contribution to journalArticlepeer-review


We present calculations of mesoscopic conductance fluctuations in the deep insulating regime (DIR) within the Nguyen, Spivak and Shklovskii with spin-orbit coupling (SOC). We show that the log-conductance is a stationarity process. A weak decaying behavior of the correlation function is found, such that Slutski's theorem can be invoked to conclude that the whole stochastic process defined by the log-conductance is non-ergodic in the mean square sense, in accordance with the behavior found for the criterion of mean square ergodicity.

Original languageEnglish
Pages (from-to)179-182
Number of pages4
JournalRevista Mexicana de Fisica
Issue numberSUPPL. 3
StatePublished - Nov 2003
Externally publishedYes


  • Ergodicity
  • Fluctuations
  • Spin-orbit coupling
  • Strong localization


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