Theory of the half-filled Landau level

TL;DR

This paper reviews a recent theoretical framework describing a compressible Fermi-liquid like state at specific half-filled Landau levels, emphasizing the fundamental physical concepts involved.

Contribution

It introduces and discusses a new theoretical approach to understanding the compressible states at half-filled Landau levels with even denominators.

Findings

Describes a Fermi-liquid like state at half-filled Landau levels.

Highlights the physical concepts underlying this state.

Provides a review of the recent theoretical developments.

Abstract

A recent theory of a compressible Fermi-liquid like state at Landau level filling factors $\nu=1/q$ or $1-1/q$, $q$ even, is reviewed, with emphasis on the basic physical concepts.