平行场中环面码模型的低能有效理论
Low-energy effective theory of the toric code model in a parallel field
摘要：
我们确定解析的复曲面代码模型在一个平行的磁场，显示三个不同的区域的相图。我们的研究依赖于两个高阶微扰展开在强场和弱场极限，以及大自旋分析。在拓扑相的计算建立了一个准粒子图片的任何子激发。我们获得了两条二阶转变线，它们与一阶线合并，产生了最近数值模拟所建议的多临界点。我们计算相应的临界场的值和驱动间隙闭合的指数。我们还给出了拓扑相内任意准粒子的单粒子色散。
英文摘要：
We determine analytically the phase diagram of the toric code model in a parallel magnetic field which displays three distinct regions. Our study relies on two high-order perturbative expansions in the strong- and weak-field limit, as well as a large-spin analysis. Calculations in the topological phase establish a quasiparticle picture for the anyonic excitations. We obtain two second-order transition lines that merge with a first-order line giving rise to a multicritical point as recently suggested by numerical simulations. We compute the values of the corresponding critical fields and exponents that drive the closure of the gap. We also give the one-particle dispersions of the anyonic quasiparticles inside the topological phase.
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