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Topological Entanglement Entropy from the Holographic Partition Function
Paul Fendley, Matthew P. A. Fisher, Chetan Nayak
We study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both…
Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State
Paul Fendley, Matthew P. A. Fisher, Chetan Nayak
We analyze tunneling of non-Abelian quasiparticles between the edges of a quantum Hall droplet at Landau level filling fraction nu=5/2, assuming that the electrons in the first exc…
Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
Jason Alicea, Matthew P. A. Fisher
Starting from the graphene lattice tight-binding Hamiltonian with an on-site U and long-range Coulomb repulsion, we derive an interacting continuum Dirac theory governing the low-e…