Self-energy-functional approach: Analytical results and the Mott-Hubbard transition

Details Self-energy-functional approach: Analytical results and the Mott-Hubbard transition Self-energy-functional approach: Analytical results and the Mott-Hubbard transition

2003-06-11

arxiv.org/abs/cond-mat/0306278v2

Eur. Phys. J. B 36, 335 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, final version including finite-temperature results and phase diagram, accepted by EPJB

Scientific paper

10.1140/epjb/e2003-00352-7

The self-energy-functional approach proposed recently is applied to the single-band Hubbard model at half-filling to study the Mott-Hubbard metal-insulator transition within the most simple but non-trivial approximation. This leads to a mean-field approach which is interesting conceptually: Trial self-energies from a two-site single-impurity Anderson model are used to evaluate an exact and general variational principle. While this restriction of the domain of the functional represents a strong approximation, the approach is still thermodynamically consistent by construction and represents a conceptual improvement of the ``linearized DMFT'' which has been suggested previously as a handy approach to study the critical regime close to the transition. It turns out that the two-site approximation is able to reproduce the complete (zero and finite-temperature) phase diagram for the Mott transition. For the critical point at T=0, the entire calculation can be done analytically. This calculation elucidates different general aspects of the self-energy-functional theory. Furthermore, it is shown how to deal with a number of technical difficulties which appear when the self-energy functional is evaluated in practice.

Affiliated with

Also associated with

No associations

Rating

Self-energy-functional approach: Analytical results and the Mott-Hubbard transition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-energy-functional approach: Analytical results and the Mott-Hubbard transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-energy-functional approach: Analytical results and the Mott-Hubbard transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-458108