scholarly journals Functional renormalization group for fermion lattice models in three dimensions: Application to the Hubbard model on the cubic lattice

2020 ◽  
Vol 102 (19) ◽  
Author(s):  
J. Ehrlich ◽  
C. Honerkamp
Keyword(s):  
Renormalization Group ◽  
Hubbard Model ◽  
Lattice Models ◽  
Three Dimensions ◽  
Functional Renormalization Group ◽  
Cubic Lattice

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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