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We show that in quantum Hall systems at half-filling, edge potentials alonecan drive transitions between the Pfaffian and anti-Pfaffian topologicalphases. We conjecture this is true in realistic systems even in the presence ofweak bulk interactions that break the particle-hole symmetry. The strongeffects of edge potentials could be understood from different topologicalshifts of competing phases, manifested on the disk geometry as the variation oforbital numbers at fixed number of particles. In particular, we showanalytically particle-hole conjugation of Hamiltonians on the disk isequivalent to the tuning of edge potentials, which allows us to explicitlydemonstrate the phase transition numerically. The importance of edge potentialsin various experimental contexts, including the recently discoveredparticle-hole symmetric phase is also discussed.

Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling