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Topological Order and Conformal Quantum Critical Points
- E. Ardonne, P. Fendley, E. Fradkin
- Physics
- 20 November 2003
Anyonic quantum spin chains: Spin-1 generalizations and topological stability
- C. Gils, E. Ardonne, Zhenghan Wang
- Physics
- 18 March 2013
There are many interesting parallels between systems of interacting non-Abelian anyons and quantum magnetism occurring in ordinary SU(2) quantum magnets. Here we consider theories of so-called…
NEW CLASS OF NON-ABELIAN SPIN-SINGLET QUANTUM HALL STATES
- E. Ardonne, K. Schoutens
- Physics
- 25 November 1998
We present a new class of non-abelian spin-singlet quantum Hall states, generalizing Halperin's abelian spin-singlet states and the Read-Rezayi non-abelian quantum Hall states for spin-polarized…
Exact results for a
Z3
-clock-type model and some close relatives
- I. Mahyaeh, E. Ardonne
- Physics, MathematicsPhysical Review B
- 11 April 2018
In this paper, we generalized the Peschel-Emery line of the interacting transverse field Ising model to a model based on three-state clock variables. Along this line, the model has exactly degenera…
Collective states of interacting Fibonacci anyons.
- S. Trebst, E. Ardonne, A. Feiguin, D. Huse, A. Ludwig, M. Troyer
- PhysicsPhysical review letters
- 30 January 2008
We show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless phases to gapped phases with ground-state degeneracy…
Non-abelian spin-singlet quantum Hall states: wave functions and quasihole state counting
- E. Ardonne, N. Read, E. Rezayi, K. Schoutens
- Physics
- 13 April 2001
Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas
- E. Ardonne, R. Kedem
- Mathematics
- 9 February 2006
Fermionic Characters and Arbitrary Highest-Weight Integrable ŝl r + 1-Modules
- E. Ardonne, R. Kedem, M. Stone
- Mathematics
- 2006
This paper contains the generalization of the Feigin-Stoyanovsky construction to all integrable ŝlr+1-modules.We give formulas for the q-characters of any highestweight integrable module of ŝlr+1 as…
Microscopic models of interacting Yang–Lee anyons
- E. Ardonne, J. Gukelberger, A. Ludwig, S. Trebst, M. Troyer
- Physics
- 6 December 2010
Collective states of interacting non-Abelian anyons have recently been studied mostly in the context of certain fractional quantum Hall states, such as the Moore-Read state proposed to describe the…
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