Berry Phase and Model Wave Function in the Half-Filled Landau Level.

We construct model wave functions for the half-filled Landau level parametrized by "composite fermion occupation-number configurations" in a two-dimensional momentum space, which correspond to a Fermi sea with particle-hole excitations. When these correspond to a weakly excited Fermi sea, they have a large overlap with wave functions obtained by the exact diagonalization of lowest-Landau-level electrons interacting with a Coulomb interaction, allowing exact states to be identified with quasiparticle configurations. We then formulate a many-body version of the single-particle Berry phase for adiabatic transport of a single quasiparticle around a path in momentum space, and evaluate it using a sequence of exact eigenstates in which a single quasiparticle moves incrementally.

Publisher's Note: Investigating Anisotropic Quantum Hall States with Bimetric Geometry [Phys. Rev. Lett. 119, 146602 (2017)].

This corrects the article DOI: 10.1103/PhysRevLett.119.

Publisher's Note: Investigating Anisotropic Quantum Hall States with Bimetric Geometry [Phys. Rev. Lett. 119, 146602 (2017)].

This corrects the article DOI: 10.1103/PhysRevLett.119.

Investigating Anisotropic Quantum Hall States with Bimetric Geometry.

We construct a low energy effective theory of anisotropic fractional quantum Hall (FQH) states. We develop a formalism similar to that used in the bimetric approach to massive gravity, and apply it to describe Abelian anisotropic FQH states in the presence of external electromagnetic and geometric backgrounds. We derive a relationship between the shift, the Hall viscosity, and a new quantized coupling to anisotropy, which we term anisospin.

The half-filled Landau level: The case for Dirac composite fermions.

In a two-dimensional electron gas under a strong magnetic field, correlations generate emergent excitations distinct from electrons. It has been predicted that "composite fermions"--bound states of an electron with two magnetic flux quanta--can experience zero net magnetic field and form a Fermi sea. Using infinite-cylinder density matrix renormalization group numerical simulations, we verify the existence of this exotic Fermi sea, but find that the phase exhibits particle-hole symmetry.

Evaluation of half-life of 198Au.

The half-life of the important radioisotope (198)Au is evaluated by using several different statistical methods, such as weighted mean (WM), limitation of statistical weights method (LWM), normalized residuals method (NRM), Rajeval technique (RT), Bootstrap median (BM) and Mandel-Paule method (MP). After comparing and analyzing the results from these methods, a final value of 2.6948±0.