4 papers
GCD and ABC inequalities for abelian varieties over function fields
Guoquan Gao
We prove two height inequalities for rational points on abelian varieties over function fields of characteristic 0. The first is the GCD inequality, which shows that the height wit…
Unravelling the Li-Haldane Conjecture with the Projected Ensemble
Daniel Spasic-Mlacak, Qi Camm Huang, Wen Wei Ho +1
The entanglement spectra of fractional quantum Hall states contain universal fingerprints of their underlying topological order, as posited by the Li-Haldane conjecture. In this wo…
Gapless Edge Gravitons and Quasiparticles in Fractional Quantum Hall Systems with Non-Local Confinement
Daniel Spasic-Mlacak, Nigel R. Cooper
One of the central tenets of the theory of the fractional quantum Hall effect is that the bulk quantized Hall response requires the existence of a gapless chiral edge mode. The fie…
Correlations of the Current Density in Many-Body Landau Level States
Daniel Spasic-Mlacak, Nigel R. Cooper
Motivated by recent advances in quantum gas microscopy, we investigate correlation functions of the current density in many-body Landau Level states, such as the Laughlin state of…