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Anomalous Transport in Sketched Nanostructures at the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>LaAlO</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>SrTiO</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>Interface

Anomalous Transport in Sketched Nanostructures at the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>LaAlO</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>SrTiO</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>Interface

The LaAlO${}_{3}$/SrTiO${}_{3}$ interface is already known to have interesting properties such as superconductivity and magnetism. Now nanoscale charge-transport networks created at the interface show extraordinary evidences of violation of Ohm's law.