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首页> 外文期刊>Physical review >C-theorem Violation For Effective Central Charge Of Infinite-randomness Fixed Points
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C-theorem Violation For Effective Central Charge Of Infinite-randomness Fixed Points

机译：无限随机不动点有效中央电荷的C定理违反

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Topological insulators supporting non-Abelian anyonic excitations are in the center of attention as candidates for topological quantum computation. In this paper, we analyze the ground-state properties of disordered non-Abelian anyonic chains. The resemblance of fusion rules of non-Abelian anyons and real-space decimation strongly suggests that disordered chains of such anyons generically exhibit infinite-randomness phases. Concentrating on the disordered golden chain model with nearest-neighbor coupling, we show that Fibonacci anyons with the fusion rule T⊕ t= 1⊕ T exhibit two infinite-randomness phases: a random-singlet phase when all bonds prefer the trivial fusion channel and a mixed phase which occurs whenever a finite density of bonds prefers the r fusion channel. Real-space renormalization-group (RG) analysis shows that the random-singlet fixed point is unstable to the mixed fixed point. By analyzing the entanglement entropy of the mixed phase, we find its effective central charge and find that it increases along the RG flow from the random-singlet point, thus ruling out a c theorem for the effective central charge.
机译：支持非阿贝尔非质子激发的拓扑绝缘体成为拓扑量子计算的候选对象。在本文中，我们分析了无序非阿贝尔非离子链的基态性质。非阿贝尔正午的融合规则与真实空间抽取的相似之处强烈表明，此类正午的无序链通常表现出无限随机相。集中于具有近邻耦合的无序金链模型，我们显示具有融合规则T⊕t =1⊕T的斐波那契正弦表现出两个无限随机相：当所有键都倾向于平凡的融合通道时为随机单相。每当键的密度有限时，混合相就会出现。实空间重归一化组（RG）分析表明，随机-单个固定点对混合固定点不稳定。通过分析混合相的纠缠熵，我们找到了它的有效中心电荷，并发现它沿着RG流从随机单点开始增加，从而排除了有效中心电荷的一个定理。

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