Ensemble Density Functional Theory for Inhomogeneous Fractional Quantum Hall Systems
نویسندگان
چکیده
منابع مشابه
Towards a Field Theory of Fractional Quantum Hall States
We present a Chern-Simons theory of the fractional quantum Hall effect in which flux attachment is followed by a transformation that effectively attaches the correlation holes. We extract the correlated wave functions, compute the drift and cyclotron currents (due to inhomogeneous density), exhibit the Read operator and operators that create quasiparticles and quasiholes. We show how the bare k...
متن کاملClifford statistics, quantum Hall effect, and the Hagedorn limit
Using the recently discovered Clifford statistics we propose a simple model for the grand canonical ensemble of the carriers in the theory of fractional quantum Hall effect. The model leads to a temperature limit associated with the permutational degrees of freedom of such an ensemble. We also briefly review Schur’s theory of projective representations of the permutation groups. PACS numbers: 7...
متن کامل2 9 O ct 1 99 7 Charge and current oscillations in Fractional quantum Hall systems with edges
Stationary solutions of the Chern-Simons effective field theory for the fractional quantum Hall systems with edges are presented for Hall bar, disk and annulus. In the infinitely long Hall bar geometry (non compact case), the charge density is shown to be monotonic inside the sample. In sharp contrast, spatial oscillatory modes of charge density are found for the two circular geometries, which ...
متن کاملQuantum Monte Carlo studies of density functional theory
We review our variational quantum Monte Carlo (VMC) approach for evaluating the key quantities in the density functional theory of inhomogeneous many-electron systems, and describe the underlying simulation algorithm and its parallel implementation. We discuss the insights gained from our recent application of the method to the study of the density functional theory (DFT) of the strongly inhomo...
متن کاملBroken Symmetries in the Reconstruction of ν = 1 Quantum Hall Edges
Spin-polarized reconstruction of the ν = 1 quantum Hall edge is accompanied by a spatial modulation of the charge density along the edge. We find that this is also the case for finite quantum Hall droplets: current spin density functional calculations show that the so-called Chamon-Wen edge forms a ring of apparently localized electrons around the maximum density droplet (MDD). The boundaries o...
متن کامل