A Gutzwiller study of correlated multi-orbital systems
DIPC Seminars
- Speaker
-
Bo Hellsing, University of Gothenburg, Sweden
- When
-
2012/07/17
14:00 - Place
- Donostia International Physics Center (DIPC).Paseo Manuel de Lardizabal, 4 (nearby the Facultad de Quimica), Donostia
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**A Gutzwiller study of correlated multi-orbital systems
**
Nicola Lanata 1, Hugo U. R. Strand 1, Xi Dai 2 and Bo Hellsing 1
1\. University of Gothenburg, SE-412 96 Gothenburg, Sweden
2\. Beijing National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, China
We present a numerical method to minimize the general multi-orbital
Gutzwiller variational wave functions [1]. The method can treat any type of
local
interaction, in particular spin-flip and pair-hopping interactions. To
construct the
variational wave function, we apply the phi-matrix formalism [2] and a general
approach to reduce the variational space by imposing lattice point group
symmetries.
Results for the multi-orbital Hubbard model of d-electron systems with
rotational
invariant Kanamori interaction will be demonstrated. The variational wave
function is
restricted to cubic symmetry. Properties of the model is studied as a function
of N
(total number of electrons), D ï€ (eg-t2g crystal field splitting), U
(interaction strength) and
J (spin-exchange coupling). Our numerical results for the quasi-particle
weight, Z vs
U and the phase diagram, J/U vs Uc, indicate dramatic changes when going off
halffilling
(N=5).
[1] N. Lanata, H.U.R. Strand, X. Dai, B. Hellsing, Phys Rev B 85, 035133-1
(2012)
[2] N. Lanata, P. Barone, M. Fabrizio, Phys. Rev. B 78, 155127 (2008