Revisit of the one-dimensional extended Hubbard model by functional renormalization group method

Shan-Wen Tsai, Ka-Ming Tam, David K Campbell +1 more

Aki Odawara, Hideo Yoshioka

Hiroshi Takano, Masuo Suzuki

M. Ménard, C. Bourbonnais

The phase diagram of the one-dimensional extended Hubbard model at half filling is investigated by a weak-coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We analyze the influence of irrelevant momentum dependent interactions on asymptotic properties of correlation functions and the nature of dominant phases for the lattice model under study.

Jannis Ehrlich, Carsten Honerkamp A

Ka-Ming Tam, Shan-Wen Tsai, David K Campbell

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, also known as a "bond order wave" 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.