Stat-mech models with symmetries capture how proliferation of two non-Abelian anyons in D4 topological order parasitically condenses a shared Abelian anyon, destroying topological order while the trivial phase remembers which anyons condensed.
A quantum topological phase transition at the microscopic level.Physical Review B, 77:054433, 2008
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Deforming the Kitaev chain ground state with imaginary-time evolution under 1/r^α couplings produces α-dependent infrared regimes without sharp phase transitions at non-zero deformation.
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Statistical Mechanics and Symmetries of Non-Abelian Anyon Proliferation: From Deformation to Decoherence
Stat-mech models with symmetries capture how proliferation of two non-Abelian anyons in D4 topological order parasitically condenses a shared Abelian anyon, destroying topological order while the trivial phase remembers which anyons condensed.