26 research outputs found
Level statistics of the one-dimensional dimerized Hubbard model
The statistical properties of level spacings provide valuable insights into
the dynamical properties of a many-body quantum systems. We investigate the
level statistics of the Fermi-Hubbard model with dimerized hopping amplitude
and find that after taking into account translation, reflection, spin and
{\eta} pairing symmetries to isolate irreducible blocks of the Hamiltonian, the
level spacings in the limit of large system sizes follow the distribution
expected for hermitian random matrices from the Gaussian orthogonal ensemble.
We show this by analyzing the distribution of the ratios of consecutive level
spacings in this system, its cumulative distribution and quantify the
deviations of the distributions using their mean, standard deviation and
skewness