Bulletin of the American Physical Society
APS March Meeting 2011
Volume 56, Number 1
Monday–Friday, March 21–25, 2011; Dallas, Texas
Abstract: K1.00295 : Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
Author:
Using field theoretical 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).
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 $U < U_c$ singlet superconducting correlations
dominate, while for $U > U_s$,
the system is in the spin-density wave phase as in the usual Hubbard
model. For intermediate values $U_c < U< U_s$, the system is in a
spontaneously
dimerized bond-ordered wave phase, which is absent in the
ordinary Hubbard model with $X=0$.
We provide an analytical expression for
$U_s(X)$. The results, with
only one adjustable parameter, are in excellent
agreement with numerical ones for $X < t/2$ where $t$ is the hopping.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.K1.295
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