Magnetic impurity formation in quantum point contacts.

TLDR: Detailed numerical density-functional calculations are presented that reveal the formation of an electronic state with a spin-1/2 magnetic moment in the channel under very general conditions, and show that such an impurity will also form at large magnetic fields, for a specific value of the field, and sometimes at the opening of the second transverse mode in the QPC.

Abstract: A mysterious step at 0.7G0 — a so-called '0.7 anomaly' — in a quantum point contact experiment has been suggested to signify the presence of an intrinsic magnetic impurity (an electronic state with a spin-1/2 magnetic moment) at low electron densities. This idea receives strong support from new detailed calculations. A quantum point contact (QPC) is a narrow constriction between two wider electron reservoirs, and is the standard building block of sub-micrometre devices such as quantum dots and qubits (the proposed basic elements of quantum computers). The conductance through a QPC changes as a function of its width in integer steps of G0 = 2e2/h (where e is the charge on an electron, and h is Planck's constant), signalling the quantization of its transverse modes1,2. But measurements of these conductance steps also reveal an additional shoulder at a value around 0.7G0 (refs 1–4), an observation that has remained a puzzle for more than a decade. It has recently been suggested5,6 that this phenomenon can be explained by the existence of a magnetic ‘impurity’ in the QPC at low electron densities. Here we present extensive numerical density-functional calculations that reveal the formation of an electronic state with a spin-1/2 magnetic moment in the channel under very general conditions. In addition, we show that such an impurity will also form at large magnetic fields, for a specific value of the field, and sometimes even at the opening of the second transverse mode in the QPC. Beyond explaining the source of the ‘0.7 anomaly’, these results may have far-reaching implications for spin-filling of electronic states in quantum dots and for the dephasing of quantum information stored in semiconductor qubits.