Particle-Hole Symmetry and the Pfaffian State

摘要: We show that the particle-hole conjugate of Pfaffian state---or ``anti-Pfaffian'' state---is in a different universality class from state, with topological order. The two states can be distinguished easily by their edge physics: edges differ both thermal Hall conductance and tunneling exponents. At same time, are exactly degenerate energy for $\ensuremath{\nu}=5/2$ quantum system idealized limit zero Landau level mixing. Thus, good candidates observed ${\ensuremath{\sigma}}_{xy}=\frac{5}{2}({e}^{2}/h)$ plateau.