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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Quantum critical properties in the topological Ginzburg-Landau theory of self-dual Josephson junction arrays
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Quantum critical properties in the topological Ginzburg-Landau theory of self-dual Josephson junction arrays

机译：自对偶约瑟夫森结阵列的拓扑Ginzburg-Landau理论中的量子临界性质

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摘要

This paper examines the multicritical behavior of a generalized U(N_1) × U(N_2) Ginzburg- Landau theory containing two multicomponent complex fields which couple differently to two gauge fields described by two Maxwell terms and one mixed-Chern-Simons term. This model is relevant to the dynamics of Cooper pairs and vortices in a self-dual Josephson junction array system near its superconductor-insulator transition. We develop a renormalization group flow at fixed dimension and obtain the beta functions at one loop when both disorder fields are critical. Two sets of infrared-stable charged fixed points solutions are found for N > N_c: partially charged solutions with respect to the gauge fields exist with N_c = 35.6, and fully charged solutions exist with N_c = 12.16.Weshow that fine tuning the ratio of the two energy scales in the model has the effect of reducing the critical number N_c and thus enlarges the region where the quantum phase transition is continuous. It is also found that the decoupled fixed point which is stable in the neutral case is no longer attainable in the presence of fluctuating gauge fields. We probe the conductivity at the critical point and show that it has a universal character determined by the renormalization group infrared-stable fixed-point values of the gauge couplings.
机译：本文研究了广义U（N_1）×U（N_2）Ginzburg-Landau理论的多临界行为，该理论包含两个多组分复数场，它们分别耦合到由两个Maxwell项和一个Mixed-Chern-Simons项描述的两个规范场。该模型与超导体-绝缘体过渡附近的自对偶约瑟夫森结阵列系统中库珀对和涡旋的动力学有关。我们开发了一个固定尺寸的重归一化组流，并且当两个无序场都处于临界状态时，在一个循环中获得了beta函数。对于N> N_c，找到了两组红外稳定的带电不动点解：相对于规范场存在部分带电的解，其中N_c = 35.6，存在完全带电的解，其中N_c = 12.16。该模型中的两个能级具有减小临界数N_c的作用，从而扩大了量子相变连续的区域。还发现，在存在波动的标距场的情况下，不再可以获得在中性情况下稳定的解耦固定点。我们探测了临界点的电导率，并显示出它具有一个通用特性，该特性是由规范耦合的归一化组红外稳定定点值确定的。

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