scholarly journals An improved alogorithm for the functional renormalization group and its application to the 2D Hubbard model

2009 ◽  
Vol 150 (5) ◽  
pp. 052261 ◽  
Author(s):  
Hirokazu Takashima ◽  
Ryotaro Arita ◽  
Kazuhiko Kuroki ◽  
Hideo Aoki
Keyword(s):  
Renormalization Group ◽  
Hubbard Model ◽  
Functional Renormalization Group

FUNCTIONAL RENORMALIZATION GROUP IN THE 2D HUBBARD MODEL

2006 ◽  
Vol 20 (19) ◽  
pp. 2636-2646 ◽  
Author(s):  
CARSTEN HONERKAMP
Keyword(s):  
Renormalization Group ◽  
Hubbard Model ◽  
Fermi Liquid ◽  
Broken Symmetry ◽  
Two Dimensional ◽  
Functional Renormalization Group ◽  
Recent Developments ◽  
Dimensional Models ◽  
Low Dimensional

We review recent developments in functional renormalization group (RG) methods for interacting fermions. These approaches aim at obtaining an unbiased picture of competing Fermi liquid instabilities in the low-dimensional models like the two-dimensional Hubbard model. We discuss how these instabilities can be approached from various sides and how the fermionic RG flow can be continued into phases with broken symmetry.

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