Roles of zeros of the Green function in Fermi arc and non-Fermi liquid in the two-dimensional Hubbard model

2009 ◽  
Vol 404 (19) ◽  
pp. 3183-3186 ◽  
Author(s):  
Shiro Sakai ◽  
Yukitoshi Motome ◽  
Masatoshi Imada
Keyword(s):  
Green Function ◽  
Hubbard Model ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Fermi Arc ◽  
The Green Function

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

The stability of filamentary vorticity in two-dimensional geophysical vortex-dynamics models

1991 ◽  
Vol 231 ◽  
pp. 575-598 ◽  
Author(s):  
D. W. Waugh ◽  
D. G. Dritschel
Keyword(s):  
Green Function ◽  
Shear Flow ◽  
Stream Function ◽  
Potential Vorticity ◽  
Two Dimensional ◽  
Interaction Range ◽  
Inversion Operator ◽  
The Green Function ◽  
The Stability ◽  
Background Shear

The linear stability of filaments or strips of ‘potential’ vorticity in a background shear flow is investigated for a class of two-dimensional, inviscid, non-divergent models having a linear inversion relation between stream function and potential vorticity. In general, the potential vorticity is not simply the Laplacian of the stream function – the case which has received the greatest attention historically. More general inversion relationships between stream function and potential vorticity are geophysically motivated and give an impression of how certain classic results, such as the stability of strips of vorticity, hold under more general circumstances.In all models, a strip of potential vorticity is unstable in the absence of a background shear flow. Imposing a shear flow that reverses the total shear across the strip, however, brings about stability, independent of the Green-function inversion operator that links the stream function to the potential vorticity. But, if the Green-function inversion operator has a sufficiently short interaction range, the strip can also be stabilized by shear having the same sense as the shear of the strip. Such stabilization by ‘co-operative’ shear does not occur when the inversion operator is the inverse Laplacian. Nonlinear calculations presented show that there is only slight disruption to the strip for substantially less adverse shear than necessary for linear stability, while for co-operative shear, there is major disruption to the strip. It is significant that the potential vorticity of the imposed flow necessary to create shear of a given value increases dramatically as the interaction range of the inversion operator decreases, making shear stabilization increasingly less likely. This implies an increased propensity for filaments to ‘roll-up’ into small vortices as the interaction range decreases, a finding consistent with many numerical calculations performed using the quasi-geostrophic model.

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

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

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.

Green Function Cloud Computing Representation with Free Water Surface

2012 ◽  
Vol 170-173 ◽  
pp. 1962-1965
Author(s):  
Xue Jiao Li ◽  
Xing Wang ◽  
Chao Liu ◽  
Meng Yu Li ◽  
She Sheng Zhang
Keyword(s):  
Boundary Condition ◽  
Green Function ◽  
Water Surface ◽  
Free Water ◽  
Two Dimensional ◽  
Function Representation ◽  
Free Water Surface ◽  
The Green Function ◽  
Cloud Computation ◽  
Control Equation

According to the convenient using principle of cloud computation, the control equation and boundary condition of point source with free water surface are considered, the basic analyzing solution is obtained, the Green function representation is discussed., the discrete calculation expression and calculation procedure are proposed, two-dimensional graphics of the Green function’s real and imaginary part are plotted.

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