Soliton stars as holographic confined Fermi liquids
Soliton stars as holographic confined Fermi liquids
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DOI：
10.1007/jhep02(2012)137
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发表时间：
2012-01
影响因子：
5.4
通讯作者：
J. Bhattacharya;Noriaki Ogawa;T. Takayanagi;Tomonori Ugajin
中科院分区：
文献类型：
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作者：
J. Bhattacharya;Noriaki Ogawa;T. Takayanagi;Tomonori Ugajin
本文将费米子的带电流体置于AdS孤子几何中，研究了受限费米子液态的全息对偶。这可以被看作是电子星的一个封闭的类似物。根据体费米子场的质量和电荷等参数，我们发现了三种不同的相结构，当我们改变的总电荷密度值在零温度。在这三种情况中的一种情况下，我们的受限解（称为孤子星星）总是稳定的，并且该解在远离尖端的地方接近电子星星。在第二和第三种情况下，我们发现一个限制/解除限制相变。此外，在第三个，有一个强烈的迹象表明，孤子星星衰减到一个非均匀的解决方案。我们还分析了探测费米子方程（在WKB近似下）在这个孤子星星几何的背景下，以确认在系统中存在许多费米面。
In this paper, we study a holographic dual of a confined Fermi liquid state by putting a charged fluid of fermions in the AdS soliton geometry. This can be regarded as a confined analogue of electron stars. Depending on the parameters such as the mass and charge of the bulk fermion field, we found three different phase structures when we change the values of total charge density at zero temperature. In one of the three cases, our confined solution (called soliton star) is always stable and this solution approaches to the electron star away from the tip. In both the second and third case, we find a confinement/deconfinement phase transition. Moreover, in the third one, there is a strong indication that the soliton star decays into an inhomogeneous solution. We also analyze the probe fermion equations (in the WKB approximation) in the background of this soliton star geometry to confirm the presence of many Fermi-surfaces in the system.