Kazusumi Ino

Pairing Effects at the Edge of Paired Quantum Hall States

We study pairing effects at the edge of paired fractional quantum Hall states using persistent edge currents as a probe. We give the grand partition functions for edge excitations of paired states (Haldane-Rezayi, Pfaffian, 331) coupled to an Aharanov-Bohm flux and derive the exact formulas of the persistent edge currents. At low temperatures, they exhibit anomalous oscillations in their flux dependence. They converge to the sawtooth function with period

SPIN-SINGLET HIERARCHY IN THE FRACTIONAL QUANTUM HALL EFFECT

{\ensuremath{\varphi}}_{0}/2

THE HALDANE-REZAYI QUANTUM HALL STATE AND MAGNETIC FLUX

at zero temperature, which indicates pair condensation. This phenomenon provides an interesting bridge between superconductivity in

Modular Invariants in the Fractional Quantum Hall Effect

2+1

Persistent edge current in the fractional quantum Hall effect

dimensions and superconductivity in

Critical level statistics of the Fibonacci model

1+1

Tunneling in paired fractional quantum Hall states: Conductance and Andreev reflection of non-abelions

dimensions.

Random matrix theory analysis of cross correlations in financial markets

We show that the so-called permanent quantum Hall states are formed by the integer quantum Hall effects on the Haldane-Rezayi quantum Hall state. Novel conformal field theory description along with this picture is deduced. The odd denominator plateaux observed around

Critical properties of Harper’s equation on a triangular lattice

\nu=5/2

Statistics of spectra for critical quantum chaos in one-dimensional quasiperiodic systems.

are the permanent states if the