Wednesday, July 31, 2013

1307.7726 (J. Dubail et al.)

Tensor network trial states for chiral topological phases in two

J. Dubail, N. Read
Trial wavefunctions that can be represented by summing over locally-coupled degrees of freedom are called tensor network states; they have seemed difficult to construct for two-dimensional topological phases that possess protected gapless edge excitations. We show it can be done for chiral states of free fermions, using a Gaussian Grassmann integral, yielding p_x \pm i p_y and Chern insulator states. We show that any strictly short-range quadratic parent Hamiltonian for these states is gapless. Further examples are analogs of fractional (including non-Abelian) quantum Hall phases.
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