Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory

Details Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory

1999-08-26

arxiv.org/abs/cond-mat/9908381v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.60.6411

Through a Euclidean path integral we establish that the density fluctuations of a Fermi fluid in one dimension are related to vicinal surfaces and to the stochastic dynamics of particles interacting through long range forces with inverse distance decay. In the surface picture one easily obtains the Haldane relation and identifies the scaling exponents governing the low energy, Luttinger liquid behavior. For the stochastic particle model we develop a hydrodynamic fluctuation theory, through which in some cases the large distance Gaussian fluctuations are proved nonperturbatively.

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