量子Hall坪跃迁的引力对偶
Gravity Dual of a Quantum Hall Plateau Transition
摘要：
我们展示了如何在弦论中用D-膜来模拟不同量子霍尔平台之间的跃迁。通过考虑D3-D 7系统得到了一个2+1维费米子的低能理论，平台跃迁对应于膜之间的相互移动。我们利用规范/引力对偶和探针近似研究了强耦合下的跃迁。强耦合导致了一种新的平台转变：在低温下，由于动力学对称性破缺和质量产生的影响，转变保持不连续，在高温下只有部分平滑。
英文摘要：
We show how to model the transition between distinct quantum Hall plateaus in terms of D-branes in string theory. A low energy theory of 2+1 dimensional fermions is obtained by considering the D3-D7 system, and the plateau transition corresponds to moving the branes through one another. We study the transition at strong coupling using gauge/gravity duality and the probe approximation. Strong coupling leads to a novel kind of plateau transition: at low temperatures the transition remains discontinuous due to the effects of dynamical symmetry breaking and mass generation, and at high temperatures is only partially smoothed out.
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