Conformal field theory approach to Fermi liquids and other highly entangled states
Conformal field theory approach to Fermi liquids and other highly entangled states
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费米液体和其他高度纠缠态的共形场论方法
DOI：
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发表时间：
2010
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通讯作者：
Brian Swingle
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文献类型：
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作者：
Brian Swingle
费米面可以被有效地看作是（1 +1）维手征共形场论的集合。这种方法允许直接计算费米气体的许多异常基态性质，包括纠缠熵和数涨落。（1 +1$）维的图片也推广到有限的温度和相互作用的存在。我们认为，费米液体理论的低能纠缠结构是普遍的，只依赖于相互作用的费米表面的几何形状。我们还描述了三个额外的系统在3 +1$维类似的机制导致违反边界定律的纠缠熵。
The Fermi surface may be usefully viewed as a collection of ($1+1$)-dimensional chiral conformal field theories. This approach permits straightforward calculation of many anomalous ground-state properties of the Fermi gas, including entanglement entropy and number fluctuations. The ($1+1$)-dimensional picture also generalizes to finite temperature and the presence of interactions. We argue that the low-energy entanglement structure of Fermi liquid theory is universal, depending only on the geometry of the interacting Fermi surface. We also describe three additional systems in $3+1$ dimensions where a similar mechanism leads to a violation of the boundary law for entanglement entropy.