Correlated starting points for the functional renormalization group

被引:34
|
作者
Wentzell, N. [1 ,2 ,3 ,4 ]
Taranto, C. [4 ]
Katanin, A. [5 ,6 ]
Toschi, A. [4 ]
Andergassen, S. [1 ,2 ,3 ]
机构
[1] Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria
[2] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany
[3] Univ Tubingen, CQ Ctr Collect Quantum Phenomena, D-72076 Tubingen, Germany
[4] Vienna Univ Technol, Inst Solid State Phys, A-1040 Vienna, Austria
[5] Inst Met Phys, Ekaterinburg 620990, Russia
[6] Ural Fed Univ, Ekaterinburg 620002, Russia
关键词
INFINITE DIMENSIONS; FERMION SYSTEMS; HUBBARD-MODEL; FIELD THEORY; APPROXIMATION;
D O I
10.1103/PhysRevB.91.045120
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a general frame to extend functional renormalization group (fRG) based computational schemes by using an exactly solvable interacting reference problem as starting point for the RG flow. The systematic expansion around this solution accounts for a nonperturbative inclusion of correlations. Introducing auxiliary fermionic fields by means of a Hubbard-Stratonovich transformation, we derive the flow equations for the auxiliary fields and determine the relation to the conventional weak-coupling truncation of the hierarchy of flow equations. As a specific example we consider the dynamical mean field theory (DMFT) solution as reference system, and discuss the relation to the recently introduced DMF(2)RG and the dual-fermion formalism.
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页数:11
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