Determining localization lengths in hybrid superconductor-semiconductor devices using multiple fishbone structures having hybrid wires

A method for determining a localization length of a hybrid superconductor-semiconductor device, wherein the hybrid superconductor-semiconductor device comprises:

• (1) a first fishbone structure comprising a first superconducting backbone arranged in a first direction and a first set of hybrid wires arranged in a second direction, perpendicular to the first direction, wherein each of the first set of hybrid wires has a same first length in the second direction, and (2) a second fishbone structure comprising a second superconducting backbone arranged in the first direction and a second set of hybrid wires arranged in the second direction, wherein each of the second set of hybrid wires has a same second length, different from the first length, in the second direction, the method comprising:
• using a measurement system coupled to the first fishbone structure, obtaining a first set of nonlocal conductance values associated with each of the first set of hybrid wires by selectively supplying voltages to a first set of gates associated with the first fishbone structure;
• using the measurement system coupled to the second fishbone structure, obtaining a second set of nonlocal conductance values associated with each of the second set of hybrid wires by selectively supplying voltages to a second set of gates associated with the second fishbone structure;
• and
• determining the localization length associated with the hybrid superconductor-semiconductor device based on both the first set of nonlocal conductance values and the second set of nonlocal conductance values.

A hybrid superconductor-semiconductor device comprising:

• a first fishbone structure comprising a first superconducting backbone arranged in a first direction and a first set of hybrid wires arranged in a second direction, perpendicular to the first direction, wherein each of the first set of hybrid wires has a same first length in the second direction;
• a second fishbone structure comprising a second superconducting backbone arranged in the first direction and a second set of hybrid wires arranged in the second direction, wherein each of the second set of hybrid wires has a same second length, different from the first length, in the second direction;
• a third fishbone structure comprising a third superconducting backbone arranged in the first direction and a third set of hybrid wires arranged in the second direction, wherein each of the third set of hybrid wires has a same third length, different from each of the first length and the second length, in the second direction;
• a fourth fishbone structure comprising a fourth superconducting backbone arranged in the first direction and a fourth set of hybrid wires arranged in the second direction, wherein each of the fourth set of hybrid wires has a same fourth length, different from each of the first length, the second length, and the third length, in the second direction;
• and
• a measurement system to:
• (1) obtain a first set of nonlocal conductance values associated with each of the first set of hybrid wires associated with the first fishbone structure, (2) obtain a second set of nonlocal conductance values associated with each of the second set of hybrid wires associated with the second fishbone structure, (3) obtain a third set of nonlocal conductance values associated with each of the third set of hybrid wires associated with the third fishbone structure, and (4) obtain a fourth set of nonlocal conductance values associated with each of the fourth set of hybrid wires associated with the fourth fishbone structure.