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首页> 外文期刊>Physical review, C >Reexamining Ginzburg-Landau theory for neutron P-3(2) superfluidity in neutron stars
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Reexamining Ginzburg-Landau theory for neutron P-3(2) superfluidity in neutron stars

机译：中子恒星中中子P-3（2）超浊度重新审视Ginzburg-Landau理论

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摘要

The Ginzburg-Landau (GL) effective theory is a useful tool to study a superconductivity or superfluidity near the critical temperature, and usually the expansion up to the fourth-order in terms of order parameters is sufficient for the description of the second-order phase transition. In this paper, we discuss the GL equation for the neutron P-3(2) superfluidity relevant for interior of neutron stars. We derive the GL expansion up to the eighth order in the condensates and find that this order is necessary for the system to have the unique ground state, unlike the ordinary cases. Starting from the LS potential, which provides the dominant attraction between two neutrons at the high density, we derive the GL equation in the path-integral formalism, where the auxiliary field method and the Nambu-Gor'kov representation are used. We present the detailed description for the trace calculation necessary in the derivation of the GL equation. As numerical results, we show the phase diagram of the neutron P-3(2) superfluidity on the plane spanned by the temperature and magnetic field, and we find that the eighth-order terms lead to a first-order phase transition, whose existence was predicted in the Bogoliubov-de Gennes equation but has not been found thus far within the framework of the GL expansion up to the sixth order. The first-order phase transition will affect the interior structures inside the neutron stars.
机译：Ginzburg-Landau（GL）有效理论是一种有用的工具，用于研究临界温度附近的超导或超浊度，通常在订单参数方面的扩展达到四阶足以对二阶相的描述过渡。在本文中，我们讨论了与中子恒星内部相关的中子P-3（2）超浊的GL方程。我们从冷凝器中的第八顺序推出了GL扩展，并发现该订单对于普通情况不同，系统具有独特的地面状态。从LS潜力开始，在高密度下提供两个中子之间的主导吸引力，我们在路径整体形式主义中获得GL方程，其中使用辅助场方法和Nambu-Gor'kov表示。我们介绍了GL方程的推导中所需的跟踪计算的详细描述。作为数值结果，我们示出了温度和磁场跨越平面上的中子P-3（2）超浊度的相图，我们发现第八阶术语导致一阶相转变，其存在在Bogoliubov-de Gennes方程中预测，但到目前为止尚未发现在GL扩展到第六阶的框架内。一阶相转变将影响中子恒星内的内部结构。

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