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Cross-correlated noise measurements are performed in etchedAl${}_\text{x}$Ga${}_\text{1-x}$As/GaAs based quantum rings in equilibrium atbath temperature of $T_\text{bath}=4.2\text{ K}$. The measured white noiseexceeds the thermal (Johnson-Nyquist) noise expected from the measured electrontemperature $T_\text{e}$ and the electrical resistance $R$. This excess part ofthe white noise decreases as $T_\text{bath}$ increases and vanishes for$T_\text{bath}\geq 12\text{ K}$. Excess noise is neither observed if one arm ofa quantum ring is depleted of electrons nor in 1D-constrictions that have alength and width comparable to the quantum rings. A model is presented thatsuggests that the excess noise originates from the correlation of noisesources, mediated by phase-coherent propagation of electrons.

Excess noise in Al${}_\text{x}$Ga${}_\text{1-x}$As/GaAs based quantum rings