Magnetic order in nuclear spin two-dimensional lattices due to electron–electron interactions

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Title: Magnetic order in nuclear spin two-dimensional lattices due to electron–electron interactions
Authors: Simon, Pascal1 simon@lps.u-psud.fr, Braunecker, Bernd2, Loss, Daniel2
Source: Physica E. Jan2010, Vol. 42 Issue 3, p634-638. 5p.
Subjects: Magnetic fields, Lattice theory, Electron-electron interactions, Electron gas, Temperature effect, Magnetic susceptibility, Nuclear magnetism
Abstract: Abstract: We focus on nuclear spins embedded in a two-dimensional (2D) electron gas. The nuclear spins interact with each other through the Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction, which is carried by the electron gas. We show that a nuclear magnetic order at finite temperature relies on the anomalous behaviour 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. We also shortly discussed what happens when the dimensionality is further reduced to one dimension. [Copyright &y& Elsevier]
Copyright of Physica E is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 47612549
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  Data: Magnetic order in nuclear spin two-dimensional lattices due to electron–electron interactions
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  Data: <searchLink fieldCode="AR" term="%22Simon%2C+Pascal%22">Simon, Pascal</searchLink><relatesTo>1</relatesTo><i> simon@lps.u-psud.fr</i><br /><searchLink fieldCode="AR" term="%22Braunecker%2C+Bernd%22">Braunecker, Bernd</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Loss%2C+Daniel%22">Loss, Daniel</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Physica+E%22">Physica E</searchLink>. Jan2010, Vol. 42 Issue 3, p634-638. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Magnetic+fields%22">Magnetic fields</searchLink><br /><searchLink fieldCode="DE" term="%22Lattice+theory%22">Lattice theory</searchLink><br /><searchLink fieldCode="DE" term="%22Electron-electron+interactions%22">Electron-electron interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Electron+gas%22">Electron gas</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature+effect%22">Temperature effect</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+susceptibility%22">Magnetic susceptibility</searchLink><br /><searchLink fieldCode="DE" term="%22Nuclear+magnetism%22">Nuclear magnetism</searchLink>
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  Label: Abstract
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  Data: Abstract: We focus on nuclear spins embedded in a two-dimensional (2D) electron gas. The nuclear spins interact with each other through the Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction, which is carried by the electron gas. We show that a nuclear magnetic order at finite temperature relies on the anomalous behaviour 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. We also shortly discussed what happens when the dimensionality is further reduced to one dimension. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Physica E is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.physe.2009.06.058
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      – Code: eng
        Text: English
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        PageCount: 5
        StartPage: 634
    Subjects:
      – SubjectFull: Magnetic fields
        Type: general
      – SubjectFull: Lattice theory
        Type: general
      – SubjectFull: Electron-electron interactions
        Type: general
      – SubjectFull: Electron gas
        Type: general
      – SubjectFull: Temperature effect
        Type: general
      – SubjectFull: Magnetic susceptibility
        Type: general
      – SubjectFull: Nuclear magnetism
        Type: general
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      – TitleFull: Magnetic order in nuclear spin two-dimensional lattices due to electron–electron interactions
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            NameFull: Simon, Pascal
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            NameFull: Braunecker, Bernd
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            NameFull: Loss, Daniel
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              Text: Jan2010
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              Y: 2010
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