The RKKY interaction across a tunnelling junction out of equilibrium in relation to the spin current

R. J. Elliott, C. Heide, Ned S. Wingreen

Research output: Contribution to journalArticle

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Abstract

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic spin impurities across a tunnelling junction is studied when the system is driven out of equilibrium through biasing the junction. The nonequilibrium situation is handled with the Keldysh time-loop perturbation formalism in conjunction with appropriate coupling methods for tunnelling systems due to Caroli and Feuchtwang. We find that the presence of a nonequilibrium bias across the junction leads to an interference of several fundamental oscillations, such that in this tunnelling geometry, it is possible to tune the interaction between ferromagnetic and antiferromagnetic coupling at a fixed impurity configuration, simply by changing the bias across the junction. Furthermore, it is shown that the range of the RKKY interaction is altered out of equilibrium such that in particular the interaction energy between two slabs of spin scales extensively with the thickness of the slabs in the presence of an applied bias. The spin current has been calculated for this system and it is shown that it is proportional to the long-range interaction. Other aspects of the relationship of the current to the spin geometry are explored.

Original languageEnglish (US)
Pages (from-to)769-770
Number of pages2
JournalJournal of Magnetism and Magnetic Materials
Volume177-181
Issue numberPART 2
DOIs
StatePublished - Jan 1 1998

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Impurities
Geometry
interactions
slabs
impurities
geometry
formalism
interference
perturbation
oscillations
configurations
energy

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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abstract = "The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic spin impurities across a tunnelling junction is studied when the system is driven out of equilibrium through biasing the junction. The nonequilibrium situation is handled with the Keldysh time-loop perturbation formalism in conjunction with appropriate coupling methods for tunnelling systems due to Caroli and Feuchtwang. We find that the presence of a nonequilibrium bias across the junction leads to an interference of several fundamental oscillations, such that in this tunnelling geometry, it is possible to tune the interaction between ferromagnetic and antiferromagnetic coupling at a fixed impurity configuration, simply by changing the bias across the junction. Furthermore, it is shown that the range of the RKKY interaction is altered out of equilibrium such that in particular the interaction energy between two slabs of spin scales extensively with the thickness of the slabs in the presence of an applied bias. The spin current has been calculated for this system and it is shown that it is proportional to the long-range interaction. Other aspects of the relationship of the current to the spin geometry are explored.",
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The RKKY interaction across a tunnelling junction out of equilibrium in relation to the spin current. / Elliott, R. J.; Heide, C.; Wingreen, Ned S.

In: Journal of Magnetism and Magnetic Materials, Vol. 177-181, No. PART 2, 01.01.1998, p. 769-770.

Research output: Contribution to journalArticle

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AU - Heide, C.

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