Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions

Bernd Braunecker*, Pascal Simon, Daniel Loss

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The hyperfine interaction between the electron spin and the nuclear spins is one of the main sources of decoherence for spin qubits when the nuclear spins are disordered. An ordering of the latter largely suppresses this source of decoherence. Here we show that such an ordering can occur through a thermodynamic phase transition in two-dimensional (2D) Kondo-lattice type systems. We specifically focus on nuclear spins embedded in a 2D electron gas. The nuclear spins interact with each other through the RKKY interaction, which is carried by the electron gas. We show that a nuclear magnetic order at finite temperature relies on the anomalous behavior of the 2D static electron spin susceptibility due to electron-electron interactions. This provides a connection between low-dimensional magnetism and non-analyticities in interacting 2D electron systems. We discuss the conditions for nuclear magnetism, and show that the associated Curie temperature increases with the electron-electron interactions and may reach up into the millikelvin regime. The further reduction of dimensionality to one dimension is shortly discussed.

Original languageEnglish
Title of host publicationSOLID-STATE QUANTUM COMPUTING, PROCEEDINGS
EditorsHS Goan, YN Chen
Place of PublicationMELVILLE
PublisherAmerican Institute of Physics
Pages62-67
Number of pages6
ISBN (Print)978-0-7354-0605-6
Publication statusPublished - 2008
Event2nd International Workshop on Solid-State Quantum Computing/Mini-School on Quantum Information Science - Taipei, United Kingdom
Duration: 23 Jun 200827 Jun 2008

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1074
ISSN (Print)0094-243X

Conference

Conference2nd International Workshop on Solid-State Quantum Computing/Mini-School on Quantum Information Science
Country/TerritoryUnited Kingdom
Period23/06/0827/06/08

Keywords

  • nuclear magnetism
  • magnetic susceptibility
  • RKKY interaction
  • Kondo-lattice
  • two-dimensional electron gas
  • QUANTUM DOTS
  • FERMI-LIQUID
  • SPIN SUSCEPTIBILITY
  • GAS

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