A new approach to the ground state of quantum-Hall systems

I present variational solutions of the many-body Schr\"odinger equation for a two-dimensional electron system in strong magnetic fields, which have, at $\nu=1$, the energy about 46% lower than the energy of the Laughlin liquid. At $\nu=2/3$, I obtain the energy, about 29% lower than was reported so far.Comment: ReVTeX, 5 pages with 3 figures included; some formulas [eqs. (6)-(9)], one figure (fig 2), some new refs. and new results are adde

Compressible Anisotropic States around the Half-Filled Landau Levels

Using the von Neumann lattice formalism, we study compressible anisotropic states around the half-filled Landau levels in the quantum Hall system. In these states the unidirectional charge density wave (UCDW) state seems to be the most plausible state. The charge density profile and Hartree-Fock energy of the UCDW are calculated self-consistently. The wave length dependence of the energy for the UCDW is also obtained numerically. We show that the UCDW is regarded as a collection of the one-dimensional lattice Fermi-gas systems which extend to the uniform direction. The kinetic energy of the gas system is generated dynamically from the Coulomb interaction.Comment: 6 pages, 5 figures, accepted version for publication in PR

REDISCOVERING THE LOST CITY OF BRONZEVILLE REDISCOVERING THE LOST CITY OF BRONZEVILLE

Abstract This article is part of a larger effort to excavate, document and preserve the history of a storied Black city within the city of Columbus, Ohio. Bronzeville, once a bustling enclave, was governed by a Black mayor and all-Black cabinet. Unfortunately, this is a history that is unknown by many and underappreciated by others. This article chronicles a community's effort to rediscover a lost story and in the process put Bronzeville in its proper cultural and political place in history