3 citations · 3 across the 1 of their papers we have counts for
4 papers
Matrix Effective Theories of the Fractional Quantum Hall effect
Andrea Cappelli, Ivan D. Rodriguez
The present understanding of nonperturbative ground states in the fractional quantum Hall effect is based on effective theories of the Jain "composite fermion" excitations. We revi…
Coulomb Blockade in Hierarchical Quantum Hall Droplets
Andrea Cappelli, Lachezar S. Georgiev, Guillermo R. Zemba
The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their c…
Semiclassical Droplet States in Matrix Quantum Hall Effect
Andrea Cappelli, Ivan D. Rodriguez
We derive semiclassical ground state solutions that correspond to the quantum Hall states earlier found in the Maxwell-Chern-Simons matrix theory. They realize the Jain composite-f…
Jain States in a Matrix Theory of the Quantum Hall Effect
Andrea Cappelli, Ivan D. Rodriguez
The U(N) Maxwell-Chern-Simons matrix gauge theory is proposed as an extension of Susskind's noncommutative approach. The theory describes D0-branes, nonrelativistic particles with…