Abstract
Bosonization of degenerate fermions yields insight both into Landau-Fermi liquids, and into non-Fermi liquids. We begin our review with a pedagogical introduction to bosonization, emphasizing its applicability in spatial dimensions greater than one. After a brief historical overview, we present the essentials of the method. Well known results of Landau theory are recovered, demonstrating that this new tool of many-body theory is robust. Limits of multidimensional bosonization are tested by considering several examples of non-Fermi liquids, in particular the composite fermion theory of the half-filled Landau level. Nested Fermi surfaces present a different challenge, and these may be relevant in the cuprate superconductors. We conclude by discussing the future of multidimensional bosonization.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 141-228 |
| Number of pages | 88 |
| Journal | Advances in Physics |
| Volume | 49 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 1 2000 |
| Externally published | Yes |
ASJC Scopus subject areas
- Condensed Matter Physics