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Multidimensional bosonization
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DOI：10.1080/000187300243363.png)
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摘要
En 中文
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.
Keyword:
HIGH-TEMPERATURE SUPERCONDUCTORS
HIGH-TC SUPERCONDUCTORS
HIGHER-DIMENSIONAL BOSONIZATION
2-DIMENSIONAL FERMI LIQUIDS
ORDER-PARAMETER SYMMETRY
SINE-GORDON EQUATION
QUANTUM SPIN CHAINS
FILLED LANDAU-LEVEL
2D ELECTRON-GAS
V = 1/2
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