Conformal field theory approach to Fermi liquids and other highly entangled states
Author(s)Swingle, Brian Gordon
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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.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review B
American Physical Society
Swingle, Brian. “Conformal Field Theory Approach to Fermi Liquids and Other Highly Entangled States.” Physical Review B 86.3 (2012): 035116. © 2012 American Physical Society.
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