Bosonization of Fermi liquids
- Theoretical Physics, ETH-Hoenggerberg, CH-8093 Zuerich (Switzerland)
We consider systems of nonrelativistic, interacting electrons at finite density and zero temperature in d=2,3,{hor_ellipsis} dimensions. We characterize those systems that, under the renormalization flow, are driven away from the Landau Fermi-liquid (LFL) renormalization-group fixed point. We study under what circumstances such a system is a marginal Fermi-liquid (MFL) when the dimension of space is d{ge}2. The interacting electron system is analyzed by combining renormalization-group (RG) methods with so called {open_quotes}Luther-Haldane{close_quotes} bosonization techniques. The RG calculations are organized as a double expansion in the inverse scale parameter {lambda}{sup {minus}1}, which is proportional to the width of the effective momentum space around the Fermi surface and in the running coupling constant g{sub {lambda}}, which measures the strength of electron interactions at energy scales {approximately}v{sub F}k{sub F}/{lambda}. For systems with a strictly convex Fermi surface, superconductivity is the only symmetry-breaking instability. Excluding such an instability, the system can be analyzed by means of bosonization. The RG and the underlying perturbation expansion in powers of {lambda}{sup {minus}1} serve to characterize the approximations involved by bosonizing the system. We argue that systems with short-range interactions flow to the LFL fixed point. The same holds for systems with long-range, longitudinal, density-density interactions. For electron systems interacting via long-range, transverse, current-current interactions, a deviation from LFL behavior is possible: if the exponent {alpha} parametrizing the singularity of the interaction potential in momentum space by {cflx V}({vert_bar}{bold p}{vert_bar}){approximately}1/{vert_bar}{bold p}{vert_bar}{sup {alpha}} is greater than or equal to d{minus}1, the results of the bosonization calculation are consistent with a MFL. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 535939
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 55, Issue 11; Other Information: PBD: Mar 1997
- Country of Publication:
- United States
- Language:
- English
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