Dynamics of Electrons and Nuclei in Double Quantum Dots in the Spin Blockade Regime

Electron-nuclear interaction is a classic subject of condensed matter physics, studied extensively over decades by using nuclear magnetic resonance. This seemingly mature field has been attracting renewed interest recently due mainly to the discovery of novel nuclearinduced electronic phenomena in nanostructures. In the theoretical treatment of such effects, it has often been done to start from a phenominological equation of motion for macroscopic variables, introduced in a rather ad-hoc mannner. This approach is of limited usefulness, and a systematic method to derive macroscopic equations from microscopic Hamiltonians is desired. We have developed such a method applicable to confined electronic systems interacting with nuclei. The present paper outlines this method and discusses its application to double quantum dots in the spin-blockade regime.