Magnetic ordering of nuclear spins in an interacting two-dimensional electron gas
- 8 January 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 77 (4), 045108
- https://doi.org/10.1103/physrevb.77.045108
Abstract
We investigate the magnetic behavior of nuclear spins embedded in a two-dimensional (2D) interacting electron gas using a Kondo lattice model description. We derive an effective magnetic Hamiltonian for the nuclear spins, which is of the Rudermann-Kittel-Kasuya-Yosida type and where the interactions between the nuclear spins are strongly modified by the electron-electron interactions. We show that the nuclear magnetic ordering at finite temperature relies on the (anomalous) behavior of the 2D static electron spin susceptibility and thus provides a connection between low-dimensional magnetism and nonanalyticities in interacting 2D electron systems. Using various perturbative and nonperturbative approximation schemes in order to establish the general shape of the electron spin susceptibility as a function of its wave vector, we show that the nuclear spins locally order ferromagnetically and that this ordering can become global in certain regimes of interest. We demonstrate that the associated Curie temperature for the nuclear system increases with the electron-electron interactions up to the millikelvin range.Keywords
Other Versions
This publication has 66 references indexed in Scilit:
- Spins in few-electron quantum dotsReviews of Modern Physics, 2007
- Driven coherent oscillations of a single electron spin in a quantum dotNature, 2006
- Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum DotsScience, 2005
- Triplet–singlet spin relaxation via nuclei in a double quantum dotNature, 2005
- Recipes for spin-based quantum computingNanotechnology, 2005
- Optically programmable electron spin memory using semiconductor quantum dotsNature, 2004
- Single-shot read-out of an individual electron spin in a quantum dotNature, 2004
- Coupled quantum dots as quantum gatesPhysical Review B, 1999
- Resonant Spin Amplification in-Type GaAsPhysical Review Letters, 1998
- Quantum computation with quantum dotsPhysical Review A, 1998