Spectral statistics in the lowest Landau band

Connnement to Lowest Landau Band and Application to Quantum Current

In this paper we study neutral atoms of nuclear charge Z in a strong constant magnetic eld of strength B. We improve the bound on connnement to lowest Landau band given by Lieb, Solovej and Yngvason in LSY94a]. This permits to calculate the asymptotic form of the quantum current of atoms in the parameter region Z 4=3 B Z 46=27 .

Haldane's fractional statistics and the lowest Landau level on a torus.

The Lowest Landau Level on a torus is studied. The dimension of the many-body Hilbert space is obtained and is found to be different from the formula given by Haldane. Our result can be tested in numerical investigations of the low-energy spectrum of fractional quantum Hall states on a torus. Identical particles with statistics interpolating between Bose and Fermi can exist in two dimensions 1]...

The Electromagnetic Interactions of Electrons in the Lowest Landau Level

Starting from a system of planar electrons in a strong magnetic field normal to the plane, interacting with perturbing electromagnetic fields, an effective Lagrangian for the fermions in the lowest Landau level (L.L.L.) has been derived. By choosing a suitable background electrostatic potential, an incompressible droplet of these electrons is constructed. The gauge invariant effective Lagrangia...

Interacting electrons in graphene nanoribbons in the lowest Landau level

Why the lowest Landau level approximation works in strongly type

Higher than the lowest Landau level contributions to magnetization and specific heat of superconductors are calculated using Ginzburg Landau equations approach. Corrections to the excitation spectrum around solution of these equations (treated perturbatively) are found. Due to symmetries of the problem leading to numerous cancellations the range of validity of the LLL approximation in mean fiel...