Electrons in two dimensions and strong magnetic fields can form an insulating two-
dimensional system with conducting one-dimensional channels along the edge. Electron …

We present a comprehensive numerical study of a microscopic model of the fractional
quantum Hall system at filling fraction ν= 5∕ 2, based on the disk geometry. Our model …

We construct a recursive second-quantized formula for Moore-Read Pfaffian states. We
demonstrate the utility of such second-quantized presentations by directly proving the …

One of the most intriguing and fundamental properties of topological systems is the
correspondence between the conducting edge states and the gapped bulk spectrum. Here …

We analyze general zero mode properties of the parent Hamiltonian of the unprojected Jain-
2/5 state. We characterize the zero mode condition associated to this Hamiltonian via …

We introduce and prove the “root theorem”, which establishes a condition for families of
operators to annihilate all root states associated with zero modes of a given positive semi …

In this work we implement the self-consistent Thomas-Fermi-Poisson approach to a
homogeneous two-dimensional electron system. We compute the electrostatic potential …

We implement metallic layers of Si-doped (110) GaAs as modulation doping in high mobility
p-type heterostructures, changing to p-growth conditions for the doping layer alone. The …

A nonplanar geometry for the quantum Hall (QH) effect is studied, whereby two quantum
Hall systems are joined at a sharp right angle. When both facets are at equal filling factor ν …

We calculate the electron spectral functions at the edges of the Moore-Read Pfaffian and
anti-Pfaffian fractional quantum Hall states in the clean limit. We show that their qualitative …