Noncommutative field theory and composite Fermi liquids in some quantum Hall systems
Zhihuan Dong, T. Senthil
Abstract
This paper addresses long-standing fundamental questions on the validity of the classic Halperin-Lee-Read (HLR) theory, which is thought to describe metallic composite Fermi liquids in quantum Hall systems. The authors derive a novel ``noncommutative'' field theory as a low-energy description, and obtain the HLR action and its microscopic parameters in a further approximation. The work demonstrates the importance of noncommutative field theory for future microscopic studies of composite Fermi liquids in quantum Hall systems.
Topics & Concepts
Composite fermionQuantum oscillationsPhysicsQuantum Hall effectFermi liquid theoryGauge theoryNoncommutative geometryLandau quantizationQuantum mechanicsFermi surfaceFermionFractional quantum Hall effectEffective field theoryCondensed matter physicsQuantum spin Hall effectMathematical physicsMagnetic fieldElectronQuantum and electron transport phenomenaTopological Materials and PhenomenaNoncommutative and Quantum Gravity Theories