Anomalous Density-of-States Fluctuations in Two-Dimensional Clean Metals
arXiv:1208.3872 · doi:10.1209/0295-5075/102/17002
Abstract
It is shown that density-of-states fluctuations, which can be interpreted as the order-parameter susceptibility χ_OP in a Fermi liquid, are anomalously strong as a result of the existence of Goldstone modes and associated strong fluctuations. In a 2-d system with a long-range Coulomb interaction, a suitably defined χ_OP diverges as 1/T^2 as a function of temperature in the limit of small wavenumber and frequency. In contrast, standard statistics suggest χ_OP = O(T), a discrepancy of three powers of T. The reasons behind this surprising prediction, as well as ways to observe it, are discussed.
4 pp, revised version contains a substantially expanded derivation
References in corpus (4)
- Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
- Effective Soft-Mode Theory of Strongly Interacting Fermions
- Theory of a Fermi-Liquid-to-Non-Fermi-Liquid Quantum Phase Transition in Dimensions d>1
- Low energy excitations and singular contributions in the thermodynamics of clean Fermi liquids