Gutzwiller wave function

B. Sriram Shastry, T. V. Ramakrishnan

Hisatoshi Yokoyama, Shinya Tokizaki

D. K. Sunko

D. K. Sunko

Zsolt Gulácsi, M. Gulácsi

An analytical method is presented that allows a unitary description of the Hubbard Hamiltonian with the Gutzwiller wave function, without the Gutzwiller approximation, in any dimension D. The method can also be extended for other Hamiltonians and wave functions.

X. Q. G. Wang, Stefano Fantoni, Erio Tosatti +1 more

A set of integral equations in the Fermi-hypernetted-chain scheme is formulated for Gutzwiller correlated wave functions. The well-known exact analytical results of Vollhardt, Metzner, and Gebhard for the one- and infinite-dimensional Gutzwiller paramagnetic wave functions are recovered as a byproduct of the theory. In approximate form, the theory is applicable to arbitrary Gutzwiller correlated wave functions, irrespective of the space dimensionality of the model.