Conformal field theory approach to Fermi liquids and other highly entangled states
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 p...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/72499 |
| Summary: | 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. |
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