约瑟夫森结阵列基态解析性破缺跃迁作为涡旋干扰跃迁的静态特征
Transition by Breaking of Analyticity in the Ground State of Josephson Junction Arrays as a Static Signature of the Vortex Jamming Transition
摘要：
研究了具有控制各向异性参数λ（纵向约瑟夫森耦合与横向约瑟夫森耦合之比）的非理性阻挫约瑟夫森结阵列的基态。发现基态具有一维周期性，其倒易晶格矢量依赖于λ，与衬底晶格无公度。当接近各向同性点λ=1时，基态的壳函数出现解析性破缺，类似于Frenkel-Kontorova模型中的Aubry跃迁。我们发现了一个标度律的谐波谱的船体功能，这表明存在一个特征的长度尺度在各向同性点发散。这个关键的行为是直接连接到干扰过渡先前观察到的电流-电压特性的数值模拟。在基态的顶部有一个无隙的、连续的亚稳态带，其表现出与基态相同的临界行为。
英文摘要：
We investigate the ground state of the irrationally frustrated Josephson junction array with controlling anisotropy parameter λ that is the ratio of the longitudinal Josephson coupling to the transverse one. We find that the ground state has one dimensional periodicity whose reciprocal lattice vector depends on λ and is incommensurate with the substrate lattice. Approaching the isotropic point, λ=1 the so called hull function of the ground state exhibits analyticity breaking similar to the Aubry transition in the Frenkel-Kontorova model. We find a scaling law for the harmonic spectrum of the hull functions, which suggests the existence of a characteristic length scale diverging at the isotropic point. This critical behavior is directly connected to the jamming transition previously observed in the current-voltage characteristics by a numerical simulation. On top of the ground state there is a gapless, continuous band of metastable states, which exhibit the same critical behavior as the ground state.
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