Bruder. Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model. Physical Review A, 70:053609, 2004.C Schroll, F Marquardt, and C Bruder, Perturbative corrections to the Gutzwiller mean-field solution for the Mott-Hubbard model, Phys. Rev. A 70, 053609 (2004...
extended Bose-Hubbard modelthree-body interactionsGutzwiller ansatzThe zero temperature properties of the generalized Bose-Hubbard model including three-body interactions are studied on a mean-field level. We obtain analytical results using the so-called perturbative mean-field method and more detailed ...
A new mean field theory is proposed for the Mott transition in the Hubbard model based on the slave rotor representation of the electron operator. This theory provides a better description of the role of the long range charge correlation in the Mott insulating state and offers a good estimation...
is anexact, weak solution of the Vlasov equation \begin{aligned} {\partial }_t\mu _N+\xi \cdot {\nabla }_x\mu _N-{\nabla }_x(V\star \mu _N(t))\cdot {\nabla }_\xi \mu _N=0 \end{aligned} (3) with self-consistent, mean-field potential ...
Using functional techniques, the Hubbard model consisting of self-coupled lattice fermions is transformed into a bosonic functional integral. In this form it is treated by a mean field approximation in its modern version as a systematic expansion around a saddle point. The method is generalized to...
I. Katsnelson, O. Parcollet, H. Hafermann, Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended hubbard model, Phys. Rev. B 90 (2014) 235135. doi:10.1103/PhysRevB.90.235135. URL http://link.aps.org/doi/10.1103/PhysRevB.90.235135...
It is shown that correlated Fermi systems in high dimensions can be exactly described in terms of an effective Hamiltonian with obvious mean field character. The method is applied to, and worked out for, a simplified Hubbard model. Thereby the exact solution in d = ∞ is recovered....
We consider a representation of the Hubbard model, in which the charge carriers are fermions and the spin carriers are bosons. We show that there exists a mean-field solution with a condensate of spin singlets and we characterize the low-temperature behavior of the quasiparticles. Finally, we ...
approach, requiring locality of the fully irreducible n- particle vertex. Then, one has DMFT for n = 1, the dynamical vertex approximation (DΓA) for n = 2, and the exact solution for n →∞. We think however that the one- and two-particle levels (n = 1, 2) are the most releva...
Dynamical mean field theory (DMFT) [15], on the other hand, maps Hubbard-like lattice Hamiltonians onto the self-consistent solution of a SIAM. Indeed a major application of w2dynamics is the solution of lattice Hamiltonians within DMFT. These might be model systems or, for materials ...