Magnetic trap for cylindrical diamagnetic materials
A magnetic trap is configured to arrange at least one diamagnetic rod. The magnetic trap includes first and second magnets on a substrate that forms the magnetic trap defining a template configured to self-assemble diamagnetic material. Each of the first and second magnets extends along a longitudinal direction to define a magnet length, and contact each other to define a contact line. The first magnet and the second magnet have a diametric magnetization in a direction perpendicular to the contact line and the longitudinal direction so as to generate a longitudinal energy potential that traps the diamagnetic rod along the longitudinal direction.
1. A magnetic trap configured to arrange at least one diamagnetic rod, the magnetic trap comprising:
first and second magnets on a substrate that forms the magnetic trap defining a template configured to self-assemble diamagnetic material, each of the first and second magnets extending along a longitudinal direction to define magnet lengths, respectively, wherein the first magnet contacts the second magnet to define a contact line,
wherein the first magnet and the second magnet have a diametric magnetization in a direction perpendicular to the contact line and the longitudinal direction so as to generate a longitudinal energy potential that traps the diamagnetic rod along the longitudinal direction, the longitudinal energy potential having a camel-back shaped energy profile,
wherein the longitudinal energy potential confines the diamagnetic rod in a three-dimensional confinement within the magnetic trap to perform a self-assembling process, and
wherein the first and second magnets position the diamagnetic rod being levitated above the contact line against a target substrate to form wiring on the target substrate.
2. The magnetic trap of claim 1 , wherein the first magnet and the second magnet form one magnetic trap among an array of magnetic traps mounted on a template substrate.
3. The magnetic trap of claim 1 , wherein the magnet lengths filter a rod length of the diamagnetic rod based on the magnet lengths.
4. The magnetic trap of claim 1 , wherein the camel-back shaped energy profile includes a trough region interposed between a pair of peak regions.
5. The magnetic trap of claim 4 , wherein the longitudinal energy potential confines the diamagnetic rod between the peak regions.
6. The magnetic trap of claim 5 , wherein the diamagnetic rod is levitated at approximately the trough portion.
7. The magnetic trap of claim 6 , wherein the camel-back shaped energy profile determines a length of the diamagnetic rod.
8. The magnetic trap of claim 7 , wherein the camel-back shaped energy profile determines the rod length of the trapped diamagnetic rod with respect to the magnet lengths.
9. The magnetic trap of claim 1 , wherein the first magnet has a first outer surface extending along the magnet lengths between respective opposing ends, and the second magnet has a second outer surface extending along the magnet lengths between respective opposing ends, and wherein the first outer surface of the first magnet is in continuous direct contact with the second outer surface of the second magnet.
10. A magnetic trap configured to arrange at least one diamagnetic rod, the magnetic trap comprising:
first and second magnets on a substrate that forms the magnetic trap defining a template configured to self-assemble diamagnetic material, each of the first and second magnets extending along a longitudinal direction to define magnet lengths, respectively, wherein the first magnet contacts the second magnet to define a contact line,
wherein the first magnet and the second magnet have a diametric magnetization in a direction perpendicular to the contact line and the longitudinal direction so as to generate a longitudinal energy potential that traps the diamagnetic rod along the longitudinal direction, the longitudinal energy potential having a camel-back shaped energy profile,
wherein the first magnet has a first outer surface extending along the magnet lengths between respective opposing ends, and the second magnet has a second outer surface extending along the magnet lengths between respective opposing ends, and wherein the first outer surface of the first magnet is in continuous direct contact with the second outer surface of the second magnet.