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2008

Collective states of interacting Fibonacci anyons

Trebst, Simon, Ardonne, Eddy, Feiguin, Adrian et al.

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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 and quasiparticle excitations.

In particular, we generalize the Majumdar-Ghosh Hamiltonian to anyonic degrees of freedom by extending recently studied pairwise anyonic interactions to three-anyon exchanges.
The energetic competition between two- and three-anyon interactions leads to a rich phase diagram that harbors multiple critical and gapped phases.
For the critical phases and their higher symmetry endpoints we numerically establish descriptions in terms of two-dimensional conformal field theories.

Collective states of interacting Fibonacci anyons · Around

Built on

C. K. Majumdar and D. K. Ghosh, J. Math. Phys. 10
1969
Earlier work this paper cites.
D. A. Huse, Phys. Rev. Lett. 49
1984
Earlier work this paper cites.
J. L. Cardy, Nucl. Phys. B270
1986
Earlier work this paper cites.
A. W. W. Ludwig, J. L. Cardy, Nucl. Phys. B 285
1989
Earlier work this paper cites.

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Like for S U ( 2 ) SU(2) spin-1/2 chains the 3-anyon interaction is a sum of nearest and next-nearest neighbor pairwise interactions [ 9 ]
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