Holographic Fermi surfaces and entanglement entropy
Holographic Fermi surfaces and entanglement entropy
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DOI：
10.1007/jhep01(2012)125
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发表时间：
2011-11
影响因子：
5.4
通讯作者：
Noriaki Ogawa;T. Takayanagi;Tomonori Ugajin
中科院分区：
文献类型：
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作者：
Noriaki Ogawa;T. Takayanagi;Tomonori Ugajin
我们认为，在纯经典极限下，朗多-费米液体不存在任何引力对偶。我们采用纠缠熵的对数行为来表征费米曲面的存在性。通过施加零能条件，我们证明了比热总是表现反常。我们还提出了一个经典的引力对偶，它具有非费米液体的纠缠熵和比热的预期行为。
We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids.