Spin fluctuations in a two-dimensional marginal Fermi liquid

1993 ◽  
Vol 48 (1) ◽  
pp. 487-498 ◽  
Author(s):  
P. B. Littlewood ◽  
J. Zaanen ◽  
G. Aeppli ◽  
H. Monien
1999 ◽  
Vol 13 (29n30) ◽  
pp. 1031-1038 ◽  
Author(s):  
A. FERRAZ ◽  
T. SAIKAWA ◽  
Z. Y. WENG

We consider a model composed of Landau quasiparticle states with patched Fermi surfaces (FS) sandwiched by states with flat FS to simulate the "cold" spot regions in cuprates. We calculate the one-particle irreducible function and the self-energy up to two-loop order. Using renormalization group arguments, we show that in the forward scattering channel, the renormalized coupling constant is never infrared stable due to the flat FS sectors. Furthemore, we show that the self-energy scales with energy as Re ∑~ω ln ω as ω→0, and thus the Fermi liquid state within each FS patch is turned into a marginal Fermi liquid.


1999 ◽  
Vol 59 (4) ◽  
pp. R2474-R2477 ◽  
Author(s):  
J. González ◽  
F. Guinea ◽  
M. A. H. Vozmediano

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Orion Ciftja

AbstractWe consider the stability of the circular Fermi surface of a two-dimensional electron gas system against an elliptical deformation induced by an anisotropic Coulomb interaction potential. We use the jellium approximation for the neutralizing background and treat the electrons as fully spin-polarized (spinless) particles with a constant isotropic (effective) mass. The anisotropic Coulomb interaction potential considered in this work is inspired from studies of two-dimensional electron gas systems in the quantum Hall regime. We use a Hartree–Fock procedure to obtain analytical results for two special Fermi liquid quantum electronic phases. The first one corresponds to a system with circular Fermi surface while the second one corresponds to a liquid anisotropic phase with a specific elliptical deformation of the Fermi surface that gives rise to the lowest possible potential energy of the system. The results obtained suggest that, for the most general situations, neither of these two Fermi liquid phases represent the lowest energy state of the system within the framework of the family of states considered in this work. The lowest energy phase is one with an optimal elliptical deformation whose specific value is determined by a complex interplay of many factors including the density of the system.


2020 ◽  
Vol 125 (25) ◽  
Author(s):  
P. A. Nosov ◽  
I. S. Burmistrov ◽  
S. Raghu
Keyword(s):  

2007 ◽  
Vol 8 (5) ◽  
pp. 371-375 ◽  
Author(s):  
O. Stockert ◽  
M.M. Koza ◽  
J. Ferstl ◽  
C. Geibel ◽  
F. Steglich

2004 ◽  
Vol 247 (1) ◽  
pp. 113-177 ◽  
Author(s):  
Joel Feldman ◽  
Horst Kn�rrer ◽  
Eugene Trubowitz

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