Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-08-29
AIP Conf. Proc., Vol. 1074, p. 62 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Proceedings for 2nd International Workshop on Solid-State Quantum Computing (Taipei, Taiwan, June 2008); 6 pages, 2 figures
Scientific paper
10.1063/1.3037139
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.
Braunecker Bernd
Loss Daniel
Simon Pascal
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