Higher-energy composite fermion levels in the fractional quantum Hall effect.

Matrix Effective Theories of the Fractional Quantum Hall effect

The present understanding of nonperturbative ground states in the fractional quantum Hall effect is based on effective theories of the Jain “composite fermion” excitations. We review the approach based on matrix variables, i.e. D0 branes, originally introduced by Susskind and Polychronakos. We show that the Maxwell-Chern-Simons matrix gauge theory provides a matrix generalization of the quantum...

Effective vector-field theory and long-wavelength universality of the fractional quantum Hall effect

We report on an effective vector-field theory of the fractional quantum Hall effect that takes into account projection to Landau levels. The effective theory refers to neither the compositeboson nor composite-fermion picture, but properly reproduces the results consistent with them, thus revealing the universality of the long-wavelength characteristics of the quantum Hall states. In particular,...

Fermi - hypernetted - chain study of unprojected wave functions to describe the half - filled state of the fractional quantum Hall effect

The Fermi hypernetted-chain theory is applied to study the half-filled state of the fractional quantum Hall effect in the thermodynamic limit. We study in detail the radial distribution function, the correlation energy, and the quasiparticle-quasihole excitation spectrum of an unprojected Fermi wave function of the form cn51/2 5P j,k N (z j2zk) 2 Det$fkW(r W)%, a possible candidate to describe ...

Structures for interacting composite fermions: Stripes, bubbles, and fractional quantum Hall effect

Much of the present day qualitative phenomenology of the fractional quantum Hall effect can be understood by neglecting the interactions between composite fermions altogether. For example, the fractional quantum Hall effect at n5n/(2pn61) corresponds to filled composite-fermion Landau levels, and the compressible state at n51/2p to the Fermi sea of composite fermions. Away from these filling fa...

1 Composite Fermion Theory, Edge Currents and the Fractional Quantum Hall Effect