Conformal Field Theory on the Fermi Surface

Feb, 2010
5 pages
Published in:
  • Phys.Rev.B 86 (2012) 035116
e-Print:

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Abstract: (arXiv)
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. Finally, I argue that the low energy entanglement structure of Fermi liquid theory is universal, depending only on the geometry of the interacting Fermi surface.
Note:
  • 4 pages + references, 2 figures
  • field theory: conformal
  • symmetry: chiral
  • dimension: 2
  • Fermi gas: ground state
  • entropy: entanglement
  • finite temperature
  • Fermi liquid
  • fermion number: fluctuation
  • numerical calculations