Exact Jastrow-Slater wave function for the one-dimensional Luttinger model

Details Exact Jastrow-Slater wave function for the one-dimensional Luttinger model Exact Jastrow-Slater wave function for the one-dimensional Luttinger model

2008-07-24

arxiv.org/abs/0807.3881v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, one figure, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.78.115117

We show that it is possible to describe the ground state of the Luttinger model in terms of a Jastrow-Slater wave function. Moreover, our findings reveal that one-particle excitations and their corresponding dynamics can be faithfully represented only when a Jastrow factor of a similar form is applied to a coherent superposition of many Slater determinants. We discuss the possible relevance of this approach for the theoretical description of photoemission spectra in higher dimensionality, where the present wave function can be straightforwardly generalized and can be used as a variational ansatz, that is exact for the 1D Luttinger model.

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