The results shown here are representative of the transport behavior that can be exhibited by this class of nanostructures, and has been described elsewhere in detail23-26. In this example, a nanowire cavity has been constructed (Figure 4) from a 3.3 unit cell LAO/STO heterostructure. Conductive paths (shown in green) are typically 10 nm wide, as determined by nanowire “cutting” experiments11. The tip speed and voltage for each segment is independently configurable from the lithography front panel (Figure 4B), as is the tip writing speed. “Virtual electrodes” that interface with the interfacial contacts ensure that there is a highly conductive electrical connection to the nanostructures.
After the nanostructure is written, it is transferred to the dilution refrigerator. Exposure to light at or below 550 nm will produce unwanted photoconduction, so it is important to transfer the device in darkness or with the aid of a red “darkroom” light (Figure 5A). Electrical connections should be made at RT, and as with most semiconductor nanostructures, great care should be taken when changing electrical connections at cryogenic temperatures. If the devices is subjected to electrostatic discharge, it will most likely become insulating. Remarkably, the device functionality can be recovered by “cycling” the temperature to 300 K and cooling down again.
During cooldown, it is routine to monitor the two-terminal resistance, and even the four-terminal resistance, as a function of temperature. For these measurements an ac voltage (typically ~1 mV) is applied at a low frequency (<10 Hz) to one of the electrodes, while the ac current is measured using a transimpedance amplifier. Lock-in demodulation and filtering is performed using a home-developed lock-in amplifier. The ac current is monitored as a function of temperature (Figure 5B).
Once the device is cooled to the base temperature of the dilution refrigerator (50 mK), four-terminal transport measurements are performed (Figure 5C). For these measurements, current is sourced through the main channel of the device, while voltage across the device is simultaneously measured. Instead of measuring with a lock-in amplifier, a full current-voltage (I-V) trace is measured. This method contains more information and the differential conduction can be calculated via numerical differentiation. For the particular device, the differential conduction is measured as a function of the side-gate voltage Vsg. This gate allows the chemical potential of the device to be changed. The transport through the device shows a strong non-monotonic dependence, indicating regions in which Coulomb blockade takes place for smaller values, and strong superconductivity for larger values of Vsg . Details about the physical interpretation for this class of device will be described elsewhere.

Figure 1. Photolithographic processing steps. Step 1: spin photoresist. Step 2: expose photoresist using mask aligner. Step 3: develop photoresist. Step 4: ion milling. Step 5: DC sputtering to deposit Ti and Au. Step 6: lift-off. Step 7: deposit the second layer. Step 8: plasma cleaning.

Figure 2. Images of lithographically patterned LAO/STO heterostructures. (A) Image showing 5mm x 5mm sample wire bonded to a chip carrier. (B) Optical image showing bonding pads and one of the canvases. (C) Close-up of a single canvas. Please click here to view a larger version of this figure.

Figure 3. (A) Informal design of LAO/STO nanostructure. (B) Precise layout of nanostructure using an open-source scalable vector graphics (SVG) editor.

Figure 4. (A) Lithography front panel for c-AFM patterning. (B) Screenshot from 3D simulator showing position and voltage of c-AFM tip. Please click here to view a larger version of this figure.

Figure 5. (A) LAO/STO nanostructure being inserted into dilution refrigerator. (B) Monitoring of sample resistance as it is cooled from 300 K to 50 mK. (C) Monitoring of four-terminal differential conductance of device as a function of side gate voltage Vsg and voltage across the device (V4t). Intensity graph displayed in units of siemens (S), and voltages are displayed in units of volts (V).