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摘要翻译：
我们证明了相互作用的Fibonacci任意子链可以支持各种各样的集体基态，从扩展的临界、无间隙相到具有基态简并和准粒子激发的间隙相。特别地，我们通过将最近研究的两对任意子相互作用推广到三任意子交换，将Majumdar-Ghosh哈密顿量推广到任意子自由度。两个和三个任意子相互作用之间的能量竞争导致了一个丰富的相图，包含了多个临界相和间隙相。对于临界相及其高对称端点，我们用二维共形场理论建立了数值描述。拓扑对称性保护了临界相，并决定了间隙相的性质。
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英文标题：
《Collective states of interacting Fibonacci anyons》
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作者：
Simon Trebst, Eddy Ardonne, Adrian Feiguin, David A. Huse, Andreas W.
W. Ludwig, Matthias Troyer
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Mesoscale and Nanoscale Physics 介观和纳米物理
分类描述：Semiconducting nanostructures: quantum dots, wires, and wells. Single electronics, spintronics, 2d electron gases, quantum Hall effect, nanotubes, graphene, plasmonic nanostructures
半导体纳米结构：量子点、线和阱。单电子学，自旋电子学，二维电子气，量子霍尔效应，纳米管，石墨烯，等离子纳米结构
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英文摘要：
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. A topological symmetry protects the critical phases and determines the nature of gapped phases.
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PDF链接：
https://arxiv.org/pdf/801.4602
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