CHARGE AND SPIN FLUCTUATIONS IN THE HUBBARD MODEL: FERMI LIQUID PROPERTIES AT LOW TEMPERATURES

1991 ◽  
pp. 21-41
Author(s):  
M. LAVAGNA
Keyword(s):  
Hubbard Model ◽  
Low Temperatures ◽  
Fermi Liquid ◽  
Spin Fluctuations

scholarly journals Fermi Liquid Behavior in the 2D Hubbard Model at Low Temperatures

2006 ◽  
Vol 7 (5) ◽  
pp. 809-898 ◽  
Author(s):  
G. Benfatto ◽  
A. Giuliani ◽  
V. Mastropietro
Keyword(s):  
Hubbard Model ◽  
Low Temperatures ◽  
Fermi Liquid ◽  
Liquid Behavior ◽  
Fermi Liquid Behavior

scholarly journals CHARGE AND SPIN FLUCTUATIONS IN THE HUBBARD MODEL: FERMI LIQUID PROPERTIES AT LOW TEMPERATURES

1991 ◽  
Vol 05 (06n07) ◽  
pp. 885-905 ◽  
Author(s):  
M. LAVAGNA
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Degrees Of Freedom ◽  
Spin Fluctuations ◽  
Dynamic Correlation ◽  
Liquid Theory ◽  
Half Filling ◽  
Boson Fields ◽  
Point Level

We review the slave-boson representations of the Hubbard model. When both spin and charge fermion degrees of freedom are represented by Bose fields, the approach is equivalent at the "self-consistent" saddle point level to the Gutzwiller approximation (GA). We show how the determination of the Lagrange multipliers, introduced to enforce the constraints, involves a Mott-Hubbard gap near half-filling for U > U c (localization edge). The quantum fluctuations are then considered within a renormalized basis of boson fields (restoring the spin-rotation invariance), which brings out two distinct channels, symmetric and antisymmetric. It is remarkable that both spin and charge fluctuations are obtained at the same level of the gaussian fluctuations, as oppossed to the standard 1/N expansion. This provides the microscopic basis for a Fermi liquid theory. Both dynamic effects and extension to finite temperature which were beyond the scope of the variational procedure can now be described by this approach. The physical implications of the model (dynamic correlation functions, T3Ln T term of the specific heat, superfluid instability) are finally considered, all of which reflect the Fermi liquid nature of the system.

scholarly journals Efficient fluctuation-exchange approach to low-temperature spin fluctuations and superconductivity: From the Hubbard model to NaxCoO2·yH2O

2021 ◽  
Vol 103 (20) ◽  
Author(s):  
Niklas Witt ◽  
Erik G. C. P. van Loon ◽  
Takuya Nomoto ◽  
Ryotaro Arita ◽  
Tim O. Wehling
Keyword(s):  
Low Temperature ◽  
Hubbard Model ◽  
Spin Fluctuations

scholarly journals Low-energy spin fluctuations in the non-Fermi-liquid compound YbRh2Si2

2007 ◽  
Vol 8 (5) ◽  
pp. 371-375 ◽  
Author(s):  
O. Stockert ◽  
M.M. Koza ◽  
J. Ferstl ◽  
C. Geibel ◽  
F. Steglich
Keyword(s):  
Fermi Liquid ◽  
Low Energy ◽  
Spin Fluctuations

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

scholarly journals Fermi liquid theory and ferromagnetic manganites at low temperatures

1999 ◽  
Vol 112 (12) ◽  
pp. 707-711 ◽  
Author(s):  
M.O. Dzero ◽  
L.P. Gor'kov ◽  
V.Z. Kresin
Keyword(s):  
Low Temperatures ◽  
Fermi Liquid ◽  
Fermi Liquid Theory ◽  
Liquid Theory

scholarly journals Non-Fermi-liquid behavior and spin fluctuations in dopedUAl2

1997 ◽  
Vol 55 (2) ◽  
pp. 947-953 ◽  
Author(s):  
F. Mayr ◽  
G.-F. v. Blanckenhagen ◽  
G. R. Stewart
Keyword(s):  
Fermi Liquid ◽  
Spin Fluctuations ◽  
Liquid Behavior ◽  
Fermi Liquid Behavior
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