Quantum phase diagram of the half filled Hubbard model with bond-charge interaction

Details Quantum phase diagram of the half filled Hubbard model with bond-charge interaction Quantum phase diagram of the half filled Hubbard model with bond-charge interaction

2010-09-21

arxiv.org/abs/1009.4113v2

Nuclear Physics B 843 [FS] (2011) 767-783

Physics

Condensed Matter

Strongly Correlated Electrons

29 pages, 2 figures

Scientific paper

10.1016/j.nuclphysb.2010.10.017

Using quantum field theory and bosonization, we determine the quantum phase diagram of the one-dimensional Hubbard model with bond-charge interaction $X$ in addition to the usual Coulomb repulsion $U$ at half-filling, for small values of the interactions. We show that it is essential to take into account formally irrelevant terms of order $X$. They generate relevant terms proportional to $X^2$ in the flow of the renormalization group (RG). These terms are calculated using operator product expansions. The model shows three phases separated by a charge transition at $U=U_c$ and a spin transition at $U=U_s>U_c$. For $UU_s$, the system is in the spin-density wave phase as in the usual Hubbard model. For intermediate values $U_c

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