727 citations
- University of California, Santa BarbaraUS40 papers
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6 papers · 1 filter
Interacting anyons in topological quantum liquids: The golden chain
Adrian Feiguin, Simon Trebst, Andreas W. W. Ludwig +4
We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse…
Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
Doron Bergman, Jason Alicea, Emanuel Gull +2
Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in…
Conformal radii for conformal loop ensembles
Oded Schramm, Scott Sheffield, David B. Wilson
The conformal loop ensembles CLE(k), defined for k in [8/3, 8], are random collections of loops in a planar domain which are conjectured scaling limits of the O(n) loop models. We…
Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
F. Heidrich-Meisner, I. A. Sergienko, A. E. Feiguin +1
We present a numerical study of the magnetization process of frustrated quantum spin-S chains with S=1, 3/2, 2 as well as the classical limit. Using the exact diagonalization and d…
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…
Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
Simon Trebst, Philipp Werner, Matthias Troyer +2
We study the stability of topological order against local perturbations by considering the effect of a magnetic field on a spin model -- the toric code -- which is in a topological…