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We make unexpected predictions for the electrical conductance and localdensity of states (LDOS) of a wide class of semi-regular nanodevices, tattynanodevices, and nanodevices with atypical but arbitrarily strong disorder.Disorder is disruptive to electron transport, as it causes coherent electronscattering. Nevertheless, we predict a wide class of nanodevices which showorder amidst disorder, in that the device Hamiltonians are disordered but whenthe device is attached to proper leads the LDOS is ordered. These nanodevicesalso are quantum dragons, as they have complete electron transmission, ${\calT}(E)=1$ for all electron energies which propagate in the attached leads. Weanalyze a conventional single-band tight-binding model by NEGF (Non-EquilibriumGreen's Function) methods. We provide a recipe to allow extensive disorder incoherent transport through quantum nanodevices based on semi-regular, random,or tatty 2D, 3D, and 2D+3D underlying graphs with arbitrarily strong disorderin the tight-binding parameters, while the nanodevice keeps the desired quantumproperties. The tight-binding parameters must be locally correlated to achieveorder amidst disorder and ${\cal T}(E)=1$. Consequently, in addition to theknown regular examples of armchair single-walled carbon nanotubes and zigzaggraphene nanoribbons, we predict a large class of metallic allotropes of carbonwith ${\cal T}(E)=1$. We also provide in two different regimes universalscaling analysis for the average transmission, ${\cal T}_{\rm ave}(E)$, fornanodevices which have nearly the desired quantum properties.

Order amidst disorder in semi-regular, tatty, and atypical random nanodevices with locally correlated disorder