1,945 research outputs found
Dynamical Mean Field Theory with the Density Matrix Renormalization Group
A new numerical method for the solution of the Dynamical Mean Field Theory's
self-consistent equations is introduced. The method uses the Density Matrix
Renormalization Group technique to solve the associated impurity problem. The
new algorithm makes no a priori approximations and is only limited by the
number of sites that can be considered. We obtain accurate estimates of the
critical values of the metal-insulator transitions and provide evidence of
substructure in the Hubbard bands of the correlated metal. With this algorithm,
more complex models having a larger number of degrees of freedom can be
considered and finite-size effects can be minimized.Comment: 5 pages, 4 figure
The Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions
We study the second order finite temperature Mott transition point in the
fully frustrated Hubbard model at half filling, within Dynamical Mean Field
Theory. Using quantum Monte Carlo simulations we show the existence of a finite
temperature second order critical point by explicitly demonstrating the
existence of a divergent susceptibility as well as by finding coexistence in
the low temperature phase. We determine the location of the finite temperature
Mott critical point in the (U,T) plane. Our study verifies and quantifies a
scenario for the Mott transition proposed in earlier studies (Reviews of Modern
Physics 68, 13, 1996) of this problem.Comment: 4 RevTex pages, uses epsf, 2 figure
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