Detection of entanglement by helical Luttinger liquids

Koji Sato, Yaroslav Tserkovnyak

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A Cooper-pair or electron-hole splitter is a device capable of spatially separating entangled fermionic quasiparticles into mesoscopic solid-state systems such as quantum dots or quantum wires. We theoretically study such a splitter based on a pair of helical Luttinger liquids, which arise naturally at the edges of a quantum spin Hall insulator. Equipping each helical liquid with a beam splitter, current-current cross correlations can be used to construct a Bell inequality whose violation would indicate nonlocal orbital entanglement of the injected electrons and/or holes. Due to the Luttinger-liquid correlations, however, the entanglement is suppressed depending on ambient temperature and voltage bias.

Original languageEnglish
Article number045419
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume90
Issue number4
DOIs
Publication statusPublished - 2014 Jul 21

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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