Crossover from Fermi liquid to Luttinger-liquid-like behavior in the two-dimensional Hubbard model

1993 ◽  
Vol 48 (5) ◽  
pp. 3527-3530 ◽  
Author(s):  
D. N. Aristov ◽  
S. V. Maleyev ◽  
A. G. Yashenkin
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Luttinger Liquid ◽  
Two Dimensional

Fermi-liquid theory in the low-density two-dimensional Hubbard model

1993 ◽  
Vol 48 (14) ◽  
pp. 10567-10570 ◽  
Author(s):  
Sudhakar Yarlagadda ◽  
Susumu Kurihara
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Low Density ◽  
Two Dimensional ◽  
Fermi Liquid Theory ◽  
Liquid Theory

Anomalous Fermi Liquid Effects in Two-Dimensional Hubbard Model near Half-Filling

2000 ◽  
Vol 69 (7) ◽  
pp. 2158-2163 ◽  
Author(s):  
Yuki Fuseya ◽  
Hideaki Maebashi ◽  
Satoshi Yotsuhashi ◽  
Kazumasa Miyake
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Half Filling

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.

RENORMALIZATION GROUP OF A TWO-DIMENSIONAL PATCHED FERMI SURFACE

2003 ◽  
Vol 17 (04) ◽  
pp. 167-174 ◽  
Author(s):  
A. FERRAZ
Keyword(s):  
Renormalization Group ◽  
Continuous Function ◽  
Fermi Surface ◽  
Fermi Liquid ◽  
Anomalous Dimension ◽  
Luttinger Liquid ◽  
Two Dimensional ◽  
Infinite Slope ◽  
Fermi Liquid Theory ◽  
Liquid Theory

Using the renormalization group we calculate the single particle Green's function G and the momentum occupation function [Formula: see text] for a quasiparticle in a two-dimensional Fermi Surface (FS) composed of four symmetric patches with both flat and curved arcs in [Formula: see text]-space. We show that G develops an anomalous dimension as a result of the vanishing of the quasiparticle weight at the FS. [Formula: see text] is a continuous function of [Formula: see text] with an infinite slope at FS for CU*2/(1 - CU*2) < 1. This result resembles a Luttinger liquid and indicates the breakdown of Fermi liquid theory in this regime.

scholarly journals Quasi-particle functional Renormalisation Group calculations in the two-dimensional half-filled Hubbard model at finite temperatures

2020 ◽  
Vol 9 (6) ◽  
Author(s):  
Daniel Rohe ◽  
Carsten Honerkamp
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Renormalisation Group ◽  
Direct Access ◽  
Two Dimensional ◽  
Quasi Particle ◽  
Energy Data ◽  
Self Energy ◽  
Real Frequency

We present a highly parallelisable scheme for treating functional Renormalisation Group equations which incorporates a quasi-particle-based feedback on the flow and provides direct access to real-frequency self-energy data. This allows to map out the boundaries of Fermi-liquid regimes and to study the effect of quasi-particle degradation near Fermi liquid instabilities. As a first application, selected results for the two-dimensional half-filled perfectly nested Hubbard model are shown.

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