Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model

Details Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model

2005-05-16

arxiv.org/abs/cond-mat/0505396v2

Phys. Rev. Lett. 96, 036408 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures, minor changes, final version

Scientific paper

10.1103/PhysRevLett.96.036408

We study the phase diagram of the half-filled one-dimensional extended Hubbard model at weak coupling using a novel functional renormalization group (FRG) approach. The FRG method includes in a systematic manner the effects of the scattering processes involving electrons away from the Fermi points. Our results confirm the existence of a finite region of bond charge density wave (BCDW), also known as a ``bond order wave'' (BOW), near $U = 2V$ and clarify why earlier g-ology calculations have not found this phase. We argue that this is an example in which formally irrelevant corrections change the topology of the phase diagram. Whenever marginal terms lead to an accidental symmetry, this generalized FRG method may be crucial to characterize the phase diagram accurately.

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