Edge structure of fractional quantum Hall systems from density-functional theory

Ensemble Density Functional Theory for Inhomogeneous Fractional Quantum Hall Systems

Theory of the edge states in fractional quantum Hall effects *

The dynamical theory of the edge excitations of generic fractional quantum Hall (FQH) states is summarized and expanded. The low energy effective theory of the edge excitations for the most general abelian FQH states (including spin-unpolarized and multi-layer FQH states) and some non-abelian FQH states is derived using several different methods. The propagators of the electrons and the quasipa...

Edge reconstruction in fractional quantum Hall states

The nature of edge reconstruction in the quantumHall e ect (QHE) and the issue of where the current flows have been debated for years.Moreover, the recent observation of proliferation of ‘upstream’ neutral modes in the fractional QHE has raised doubts about the present models of edge channels. Here, we present a new picture of the edge reconstruction in two of the holeconjugate states. For exam...

A Density Functional Theory Study of Structure of Phosphonic Acid

The molecular structure of the stable conformation of phosphonic acid in gas phase has beencomputed by employing complete geometry optimization in Density Functional Theory(DFT) methods. The methods used for calculations are B3LYP, BP86 and B3PW91 that havebeen studied in two series of basis sets: D95** and 6-31+G(d,p) for hydrogen and oxygenatoms; LANL2DZ for phosphorus. Bond lengths and angle...

Fractional Quantum Hall States from Non-commutative Chern–Simons Theory

Low energy excitations of fractional quantumHall states are described by Landau–Ginzburg theory of superfluid coupled with a vector potential whose effective action includes a Chern–Simons term. In [1], Susskind suggested that a better description of these states is provided by a non-commutative Chern–Simons theory with gauge group U(1). This idea was refined by Polychronakos [2], who proposed ...