Результаты исследований: Вклад в журнал › Статья › Рецензирование
Результаты исследований: Вклад в журнал › Статья › Рецензирование
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TY - JOUR
T1 - FUNCTIONAL RENORMALIZATION-GROUP APPROACHES, ONE-PARTICLE (IR)REDUCIBLE WITH RESPECT TO LOCAL GREEN''S FUNCTIONS, WITH DYNAMICAL MEAN-FIELD THEORY AS A STARTING POINT
AU - Katanin, A. A.
PY - 2015
Y1 - 2015
N2 - We consider formulations of the functional renormalization-group (fRG) flow for correlated electronic systems with the dynamical mean-field theory as a starting point. We classify the corresponding renormalization-group schemes into those neglecting one-particle irreducible six-point vertices (with respect to the local Green''s functions) and neglecting one-particle reducible six-point vertices. The former class is represented by the recently introduced DMF JRG approach [31], but also by the scale-dependent generalization of the one-particle irreducible representation (with respect to local Green''s functions, 1PI-LGF) of the generating functional [20]. The second class is represented by the fRG flow within the dual fermion approach [16,32]. We compare formulations of the fRG approach in each of these cases and suggest their further application to study 2D systems within the Hubbard model.
AB - We consider formulations of the functional renormalization-group (fRG) flow for correlated electronic systems with the dynamical mean-field theory as a starting point. We classify the corresponding renormalization-group schemes into those neglecting one-particle irreducible six-point vertices (with respect to the local Green''s functions) and neglecting one-particle reducible six-point vertices. The former class is represented by the recently introduced DMF JRG approach [31], but also by the scale-dependent generalization of the one-particle irreducible representation (with respect to local Green''s functions, 1PI-LGF) of the generating functional [20]. The second class is represented by the fRG flow within the dual fermion approach [16,32]. We compare formulations of the fRG approach in each of these cases and suggest their further application to study 2D systems within the Hubbard model.
UR - https://elibrary.ru/item.asp?id=25067815
M3 - Article
VL - 147
SP - 1254
EP - 1261
JO - Журнал экспериментальной и теоретической физики
JF - Журнал экспериментальной и теоретической физики
SN - 0044-4510
IS - 6
ER -
ID: 1893484