<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math> superconductivity of composite bosons and the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>7</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math> fractional quantum Hall effect
Ajit C. Balram, J. K. Jain, Maissam Barkeshli
Abstract
This paper proposes the possibility of a new kind of superconductivity in the fractional quantum Hall effect, where n-tuplets of bosons, as opposed to single bosons, undergo Bose-Einstein condensation. The bosons themselves are not ordinary bosons, but rather composite bosons, formed from the binding of electrons with three quantized vortices. The authors show that the 7/3 fractional quantum Hall effect can potentially host this exotic superconducting topological order.
Topics & Concepts
PhysicsQuantum Hall effectComposite fermionFractional quantum Hall effectCondensed matter physicsSuperconductivityBosonQuantum mechanicsQuantum spin Hall effectQuantumElectronTheoretical physicsComposite numberHall effectMagnetic fieldQuantum electrodynamicsQuantum and electron transport phenomenaTopological Materials and PhenomenaPhysics of Superconductivity and Magnetism