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most citedTopological Order and Conformal Quantum Critical Points

369 citations · 5k across the 80 of their papers we have counts for

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Showing 2008Show all

6 papers · 1 filter

cond-mat.mes-hall2008★ 26 cited

Non-equilibrium transport through a point contact in the non-Abelian quantum Hall state

Adrian Feiguin, Paul Fendley, Matthew P. A. Fisher +1

We analyze charge- quasiparticle tunneling between the edges of a point contact in a non-Abelian model of the quantum Hall state. We map this problem to resonant tunne…

math.CO2008

Link invariants, the chromatic polynomial and the Potts model

Paul Fendley, Vyacheslav Krushkal

We study the connections between link invariants, the chromatic polynomial, geometric representations of models of statistical mechanics, and their common underlying algebraic stru…

cond-mat.stat-mech2008★ 57 cited

Topological order from quantum loops and nets

Paul Fendley

I define models of quantum loops and nets which have ground states with topological order. These make possible excited states comprised of deconfined anyons with non-abelian braidi…

cond-mat.str-el2008★ 65 cited

Charge frustration and quantum criticality for strongly correlated fermions

Liza Huijse, James Halverson, Paul Fendley +1

We study a model of strongly correlated electrons on the square lattice which exhibits charge frustration and quantum critical behavior. The potential is tuned to make the interact…

cond-mat.stat-mech2008★ 24 cited

Critical points in coupled Potts models and critical phases in coupled loop models

Paul Fendley, Jesper Lykke Jacobsen

We show how to couple two critical Q-state Potts models to yield a new self-dual critical point. We also present strong evidence of a dense critical phase near this critical point…

cond-mat.stat-mech2008★ 77 cited

Order parameter statistics in the critical quantum Ising chain

Austen Lamacraft, Paul Fendley

In quantum spin systems obeying hyperscaling, the probability distribution of the total magnetization takes on a universal scaling form at criticality. We obtain this scaling funct…