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Condensation-driven phase transitions in perturbed string nets
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DOI：10.1103/PhysRevB.96.155127.png)
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摘要
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We develop methods to probe the excitation spectrum of topological phases of matter in two spatial dimensions. Applying these to the Fibonacci string nets perturbed away from exact solvability, we analyze a topological phase transition driven by the condensation of non-Abelian anyons. Our numerical results illustrate how such phase transitions involve the spontaneous breaking of a topological symmetry, generalizing the traditional Landau paradigm. The main technical tool is the characterization of the ground states using tensor networks and the topological properties using matrix-product-operator symmetries. The topological phase transition manifests itself by symmetry breaking in the entanglement degrees of freedom of the quantum transfer matrix.
Keyword:
MATRIX PRODUCT STATES
RENORMALIZATION-GROUP
TOPOLOGICAL ORDER
POTTS-MODEL
QUANTUM
ANYONS
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
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引用论文
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