Stability of Fermi Surfaces and K-Theory
High Energy Physics - Theory
2008-11-26 v1 Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Algebraic Topology
Abstract
Nonrelativistic Fermi liquids in d+1 dimensions exhibit generalized Fermi surfaces: (d-p)-dimensional submanifolds in the momentum-frequency space supporting gapless excitations. We show that the universality classes of stable Fermi surfaces are classified by K-theory, with the pattern of stability determined by Bott periodicity. The Atiyah-Bott-Shapiro construction implies that the low-energy modes near a Fermi surface exhibit relativistic invariance in the transverse p+1 dimensions. This suggests an intriguing parallel between norelativistic Fermi liquids and D-branes of string theory.
Keywords
Cite
@article{arxiv.hep-th/0503006,
title = {Stability of Fermi Surfaces and K-Theory},
author = {Petr Horava},
journal= {arXiv preprint arXiv:hep-th/0503006},
year = {2008}
}
Comments
4 pages, revtex