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

Bernd Braunecker; Pascal Simon; Daniel Loss

doi:10.1063/1.3037139

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

Bernd Braunecker
, Pascal Simon
, Daniel Loss

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	Solid-State Quantum Computing - Proceedings of the 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008
Editors	Hsi-Sheng Goan, Yueh-Nan Chen
Publisher	American Institute of Physics Inc.
Pages	62-67
Number of pages	6
ISBN (Electronic)	9780735406056
DOIs	https://doi.org/10.1063/1.3037139
State	Published - 2008
Externally published	Yes
Event	2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008 - Taipei, Taiwan, Province of China Duration: 23 Jun 2008 → 27 Jun 2008

Publication series

Name	AIP Conference Proceedings
Volume	1074
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008
Country/Territory	Taiwan, Province of China
City	Taipei
Period	23/06/08 → 27/06/08

Bibliographical note

Publisher Copyright:
© 2008 American Institute of Physics.

Keywords

Kondo-lattice
Magnetic susceptibility
Nuclear magnetism
RKKY interaction
Two-dimensional electron gas

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.3037139

Cite this

Braunecker, B., Simon, P., & Loss, D. (2008). Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions. In H.-S. Goan, & Y.-N. Chen (Eds.), Solid-State Quantum Computing - Proceedings of the 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008 (pp. 62-67). (AIP Conference Proceedings; Vol. 1074). American Institute of Physics Inc.. https://doi.org/10.1063/1.3037139

Braunecker, Bernd ; Simon, Pascal ; Loss, Daniel. / Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions. Solid-State Quantum Computing - Proceedings of the 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008. editor / Hsi-Sheng Goan ; Yueh-Nan Chen. American Institute of Physics Inc., 2008. pp. 62-67 (AIP Conference Proceedings).

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title = "Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions",

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.",

keywords = "Kondo-lattice, Magnetic susceptibility, Nuclear magnetism, RKKY interaction, Two-dimensional electron gas",

author = "Bernd Braunecker and Pascal Simon and Daniel Loss",

note = "Publisher Copyright: {\textcopyright} 2008 American Institute of Physics.; 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008 ; Conference date: 23-06-2008 Through 27-06-2008",

year = "2008",

doi = "10.1063/1.3037139",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

pages = "62--67",

editor = "Hsi-Sheng Goan and Yueh-Nan Chen",

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}

Braunecker, B, Simon, P & Loss, D 2008, Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions. in H-S Goan & Y-N Chen (eds), Solid-State Quantum Computing - Proceedings of the 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008. AIP Conference Proceedings, vol. 1074, American Institute of Physics Inc., pp. 62-67, 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008, Taipei, Taiwan, Province of China, 23/06/08. https://doi.org/10.1063/1.3037139

Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions. / Braunecker, Bernd; Simon, Pascal; Loss, Daniel.
Solid-State Quantum Computing - Proceedings of the 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008. ed. / Hsi-Sheng Goan; Yueh-Nan Chen. American Institute of Physics Inc., 2008. p. 62-67 (AIP Conference Proceedings; Vol. 1074).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions

AU - Braunecker, Bernd

AU - Simon, Pascal

AU - Loss, Daniel

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Kondo-lattice

KW - Magnetic susceptibility

KW - Nuclear magnetism

KW - RKKY interaction

KW - Two-dimensional electron gas

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U2 - 10.1063/1.3037139

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M3 - Conference contribution

AN - SCOPUS:85006201492

T3 - AIP Conference Proceedings

SP - 62

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BT - Solid-State Quantum Computing - Proceedings of the 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008

A2 - Goan, Hsi-Sheng

A2 - Chen, Yueh-Nan

PB - American Institute of Physics Inc.

T2 - 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008

Y2 - 23 June 2008 through 27 June 2008

ER -

Braunecker B, Simon P, Loss D. Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions. In Goan HS, Chen YN, editors, Solid-State Quantum Computing - Proceedings of the 2nd International Workshop on Solid-State Quantum Computing, IWSSQC 2008 and Mini-School on Quantum Information Science, QIS 2008. American Institute of Physics Inc. 2008. p. 62-67. (AIP Conference Proceedings). doi: 10.1063/1.3037139

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

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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