The last word in strong correlations

Abstract

In the Fractional Quantum Hall Effect (FQHE), in the noninteracting limit, only a fraction $\nu$ of the Lowest Landau Level (LLL) is occupied, producing a huge degeneracy. Interactions lift this degeneracy and mix in higher LL's. In the limit in which we ignore all but the LLL (i.e., let the inverse electron mass $\frac{1}{m}\to \infty$), the kinetic energy is an irrelevant constant and the ratio of potential to kinetic energy is essentially infinite, making this the most strongly correlated problem imaginable. I give a telegraphic review of the Hamiltonian Theory of the FQHE developed with Ganpathy Murthy that deals with this problem with some success. A nodding acquaintance with FQHE physics is presumed.

Dedicated to Dieter Vollhardt on his 60th birthday

References in corpus (4)

• Spin Transition in the Half-Filled Landau Level
• Hamiltonian Theory of the Fractional Quantum Hall Effect: Effect of Landau Level Mixing
• Hamiltonian Theory of the FQHE: Conserving Approximation for Incompressible Fractions
• Hamiltonian theory of the half-filled Landau level with disorder: Application to recent NMR data

Cited by in corpus (4)

• Spontaneous formation of a non-uniform chiral spin liquid in moat-band lattices
• Absence of Bose condensation on lattices with moat bands
• Statistical transmutation in Floquet driven optical lattices
• Antiferromagnetic magnons from fractionalized excitations