超流混合物中的输运
Transport in Superfluid Mixtures
摘要：
本文提出了一种构造非相对论性超流体有效场论的一般方法，将Greiter、Witten和Wilczek以及Son和Wingate以前的方法推广到溶液中几种超流体的情况。我们调查运输的混合物与破奇偶校验，并找到一个奇偶校验奇“霍尔阻力”的存在下，独立的运动以及钉扎的质量，电荷和能量的非零相对速度的网站。这两种效应都有一个简单的几何解释，即“速度多面体”的各种子复合体的有符号体积和有向面积：由超流混合物的速度矢量的端点形成的凸包。我们还提供了一个简单的准一维模型，表现出非零霍尔阻力。
英文摘要：
We present a general method for constructing effective field theories for non-relativistic superfluids, generalizing the previous approaches of Greiter, Witten, and Wilczek, and Son and Wingate to the case of several superfluids in solution. We investigate transport in mixtures with broken parity and find a parity odd "Hall drag" in the presence of independent motion as well as a pinning of mass, charge, and energy to sites of nonzero relative velocity. Both effects have a simple geometric interpretation in terms of the signed volumes and directed areas of various sub-complexes of a "velocity polyhedron": the convex hull formed by the endpoints of the velocity vectors of a superfluid mixture. We also provide a simple quasi-one-dimensional model that exhibits non-zero Hall drag.
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