Utilizing self-assembled DNA structures in the development of nanoelectronic circuits requires transforming the DNA strands into highly conducting wires. Toward this end, we investigate the use of DNA self-assembled nanowires as templates for the deposition of a superconducting material. Nanowires formed by the deposition of superconducting NbN exhibit thermally activated and quantum phase slips as well as exceptionally large negative magnetoresistance. The latter effect can be utilized to suppress a significant part of the low temperature resistance caused by the quantum phase slips.

The continuing quest for reducing the size of electronic components has led to the emergence of a new field of research, aiming at the study and application of molecular building blocks for the fabrication of electronic components.1–4 In this ambitious endeavor, DNA molecules are expected to play an important role. The unique ability of DNA to self-assemble5 into arbitrary structures6–12 suggests its use as a network on which various molecular electronic components can be placed.13–15 For this purpose, numerous metallization processes have been attempted aiming to transform DNA molecules2,16 and DNA origami13–15 into electrically conducting wires. Various metals have been employed, including silver,17 palladium,18 and gold.19 The reported resistance values have spanned over several orders of magnitude, typically in the range of 102 Ω–106 Ω.16 To increase conductivity, superconducting materials were used to fabricate superconducting nanowires, using molecules such as carbon nanotubes20–22 and DNA22,23 as templates. There are, however, no reports in the literature describing superconducting nanowires that use DNA origami as a template. The flexibility of DNA origami can be used as a powerful technique for fabrication of complex shaped nano-objects9–12 that can be converted into functional superconducting devices, hence motivating the study of the physical properties of DNA origami based superconducting nanowires.

Here, we investigate the use of DNA self-assembled nanowires as templates for the deposition of superconducting NbN. We demonstrate coating self-assembled DNA nanowires with superconducting NbN and report on magneto-transport properties of the resulting nanowires. Due to the nanometric lateral size of these nanowires, their resistance does not drop to zero as temperature drops below the superconducting transition temperature, Tc. This well-known phenomenon has been observed in studies of various superconducting nanowires and has been ascribed to thermally activated phase slips (TAPSs) near Tc and to quantum phase slips (QPSs) far below Tc (for a review, see Ref. 24). The NbN nanowires also show exceptionally large negative magnetoresistance (NMR) that can be utilized to reduce a significant part of the low temperature resistance resulting from the QPS.

DNA origami nanowires were prepared as described previously in detail.25 A typical TEM image of the resulting DNA origami nanowires is shown in Fig. 1(a), revealing ∼220 nm long and ∼15 nm wide wires. The DNA origami nanowires were drop-casted on a SiN/SiO2 chip with a ∼50 nm wide channel, as schematically shown in Fig. 1(b). The channel was prepared using e-beam lithography followed by CHF3–H2 Reactive Ion Etching (Plasma-Therm, RIE) to remove ∼25 nm layer of SiN. In order to prevent shortcuts in the electrical measurements after NbN deposition, a ∼200 nm deep and ∼170 nm wide undercut was formed in SiO2 by wet etching, using hydrofluoric acid (HF). The chip with the DNA nanowires was dried for 12 h in vacuum and then coated with ∼10 nm layer of NbN, using the AJA magnetron sputtering system. The chamber pressure was kept at 1.7 mTorr to avoid clustering of NbN during the sputtering process.

FIG. 1.

(a) TEM image of DNA origami nanowires before coating. (b) Schematic illustration of an NbN coated DNA nanowire suspended above a SiN/SiO2 channel. (c) HR-SEM image of the channel (black) on which the DNA nanowire is suspended. In the image, the channel appears discontinuous reflecting the DNA nanowire suspended across it (marked by the orange dashed rectangle). The distance between the two sides of the channel is ∼50 nm, and the width of the NbN coated DNA nanowire at its narrowest point is ∼25 nm.

FIG. 1.

(a) TEM image of DNA origami nanowires before coating. (b) Schematic illustration of an NbN coated DNA nanowire suspended above a SiN/SiO2 channel. (c) HR-SEM image of the channel (black) on which the DNA nanowire is suspended. In the image, the channel appears discontinuous reflecting the DNA nanowire suspended across it (marked by the orange dashed rectangle). The distance between the two sides of the channel is ∼50 nm, and the width of the NbN coated DNA nanowire at its narrowest point is ∼25 nm.

Close modal

Figure 1(c) shows an HR-SEM image of the channel (black) with the DNA wire laid on it. The NbN coated wire and substrate are shown in bright gray color. The location of the DNA wire (which is coated with NbN and, therefore, cannot be seen in the image) is shown schematically by the orange dashed rectangle. The width of the wire after NbN deposition is ∼25 nm at its narrowest point, and as can be seen, it changes along its length. In the range of ∼30 nm, the change in the width is only few nm. In the following, the effective length of the DNA wire is taken as 30 nm.

To measure the transport properties of a single DNA nanowire, we patterned a four-probe setup on the NbN coated film, using negative tone photolithography (MLA Heidelberg Inst.), followed by Cl2–BCl3 etching to remove NbN around the pads and the channel. In addition, we disconnected excess DNA wires along the channel using the helium ion beam (Orion Nanolab, Zeiss), which is nondestructive to the superconducting layer.26 

The magneto-transport properties of the NbN coated DNA nanowire were measured using the Physical Property Measuring System (PPMS, Quantum Design). Figure 2 shows the temperature dependence of the resistance of the NbN nanowire at zero field (blue line), demonstrating a superconducting transition at Tc ∼ 5 K, lower as compared to that measured in the bulk (∼16 K27); a reduction in Tc is commonly observed in nanowires and ascribed to degradation and oxidation of the superconducting material during the fabrication process (see, e.g., Refs. 28 and 29). The observed broadening of the transition is associated with thermally activated phase slips (TAPS), the theory of which was developed by Langer, Ambegaokar, McCumber, and Halperin Refs. 30 and 31. From this theory, assuming that the order parameter Δ=Δ0(1T/Tc)1/2, one can derive32 the following expression for the resistance in the TAPS region below Tc:
(1)
where t = T/Tc and γTAPS=NεFΔ02ξ0S/2Tc, in which NεF is the density of states at the Fermi level and S is the cross section of the wire. The red dotted line in Fig. 2 shows a fit of Eq. (1) to the experimental data, taking R0 and γTAPS as fitting parameters, yielding R0 = 5 · 104 Ω and γTAPS = 7. This value of γTAPS corresponds to the estimated value calculated using common experimental values for NbN:33, NεF101states/eV,Δ0=88meV, ξ0 = 5 nm, and Tc = 5 K, and assuming that S ∼ 140 nm2. This value of S is somewhat smaller than the measured one, suggesting the presence of an oxidation layer of ∼2 nm, consistent with the value reported in Ref. 34. Apparently, Eq. (1) yields a good fit to the data in the range ∼4 K to 5 K, but it fails at low temperatures where the resistance shows a “tail” with a weak temperature dependence. This resistance tail is attributed to the combined effect of quantum phase slips and charge imbalance.35,36 Taking into account these two contributions, one can derive32 the following expression for the temperature dependence of the resistance in the QPS regime:
(2)
Here, γQPS=Ah4e2RNLξ0, where A is of order 1, L = 30 nm is the effective length of the wire, and RN = 3000 Ω is the resistance above the transition temperature. The green dashed line in Fig. 2 exhibits a good fit of Eq. (2) to the low temperature data, yielding R0*=2105Ω and γQPS = 6. This value of γQPS implies A = 0.5. By passing, we note an unexplained dip in the R(T) data, which separates the TAPS and QPS regimes. A very similar dip was reported earlier.21 
FIG. 2.

Resistance as a function of temperature (blue line), measured at zero field. The red dotted line is a fit to Eq. (1), and the green dashed line is a fit to Eq. (2).

FIG. 2.

Resistance as a function of temperature (blue line), measured at zero field. The red dotted line is a fit to Eq. (1), and the green dashed line is a fit to Eq. (2).

Close modal

Figure 3(a) shows the field dependence of the NbN nanowire resistance for temperatures between 2.2 K and 3.7 K, i.e., in the temperature range of the resistance tail. With the increase in the magnetic field, the resistance initially decreases, exhibiting a negative magnetoresistance (NMR), reaching a minimum value at a field Hmin, and then continuously increases. The NMR effect is more pronounced as the temperature decreases.

FIG. 3.

(a) Resistance as a function of magnetic field at the indicated temperatures. (b) Temperature dependence of the size of the NMR effect, r (blue circles, left ordinate), and the field Hmin where the minimal resistance is obtained (orange squares, right ordinate) and the lines are guides to the eye.

FIG. 3.

(a) Resistance as a function of magnetic field at the indicated temperatures. (b) Temperature dependence of the size of the NMR effect, r (blue circles, left ordinate), and the field Hmin where the minimal resistance is obtained (orange squares, right ordinate) and the lines are guides to the eye.

Close modal

Figure 3(b) shows the size of the effect, measured by the ratio r=(RHR(0))/R(0), as a function of temperature, where R(0) and R(H) are the resistance at zero field and at Hmin, respectively. The figure also shows the values of Hmin vs temperature. Apparently, the increase in r is accompanied by an increase in Hmin. Although NMR has been previously reported for various superconducting nanowires, see, e.g., Refs. 37–42, we note that the effect observed here is exceptionally large, reaching a value of ∼90% at low temperatures.

The origin of the negative magnetoresistance (dR/dH < 0) is commonly associated with quasiparticles’ charge imbalance, accompanying each phase slip event that decays in time and space.36,43 The resistance associated with the charge imbalance is given by36,
(3)
where ρN is the resistivity of the normal region, ΛQ is the charge imbalance decay length, ΓPS is the average rate of the phase slips, and τ0 is the duration of each event. The charge imbalance decay length, ΛQ, decreases with the field according to36 
(4)
where D is the diffusion constant, τE is the electron–phonon inelastic scattering time, and b = H/Hc2. The magnetoresistance behavior of superconducting nanowires is, thus, governed by two competing processes: rate of phase slips, ΓPS, which increases with the magnetic field due to the suppression of Δ, and charge imbalance decay length, ΛQ, which decreases with the field. This competition dictates the behavior of the magnetoresistance: At low fields, the decrease in ΛQ with the field dominates, giving rise to dR/dH < 0. At high fields, the increase in Γps with the field dominates, giving rise to dR/dH > 0. To explain the relatively large NMR effect observed in our NbN nanowires, we note that Γps increases with the length of the wire as the probability of a phase slip event increases with the length. However, as is clear from Eq. (4), ΛQ is independent of the length. Consequently, as the length of the wire increases, the increasing contribution to the total resistance overcomes the decreasing part already at lower fields. Thus, the large NMR in our NbN coated DNA samples is presumably due to the short length of the wires. Indeed, recently reported magnetoresistance measurements in ∼5 µm long NbN wires41 exhibit a smaller NMR effect, i.e., a maximum reduction of ∼30% of the resistance value compared to more than 90% reduction in our measured sample.

In conclusion, this work demonstrates the ability to fabricate superconducting nanowires using DNA origami wires as templates. A similar “bottom-up” approach can be further adopted in fabrication of 2D or 3D superconducting nanostructures,44 where the conventional “top-bottom” techniques, such as e-beam lithography, show their limitations. The DNA origami based NbN nanowires exhibit properties characteristic of nanowires fabricated using conventional techniques, namely, phase slips and negative magnetoresistance. Nevertheless, the NMR effect exhibited by the NbN coated DNA wires is exceptionally large, a phenomenon that should be further investigated. The results of this work can be used in various applications, including interconnects in nano-electronics and novel devices based on exploitation of the flexibility DNA origami in fabrication of 3D architectures, e.g., 3D SQUIDs45 for the measurement of the magnetic field vector.

The idea for this experiment was first conceived during discussions with Omri Sharon. We thank Naor Vardi for growing the NbN layer and Maria Tckachev for growing the SiN layer. Y.Y. acknowledges financial support from the Israeli Ministry of Science and Technology. L.S. acknowledges the support of Bathsheba de Rothschild Fund and the Monique and Mordecai Katz Foundation. P.T. is grateful for support by the DFG excellence cluster e-conversion.

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