Theory of angle-dependent marginal Fermi liquid self-energy and its existence at all dopings in cuprates

2019 ◽  
Vol 31 (36) ◽  
pp. 365603
Author(s):  
Sujay Ray ◽  
Tanmoy Das
Keyword(s):  
Fermi Liquid ◽  
Self Energy ◽  
Marginal Fermi Liquid

scholarly journals MARGINAL FERMI LIQUID WITH A TWO-DIMENSIONAL PATCHED FERMI SURFACE

1999 ◽  
Vol 13 (29n30) ◽  
pp. 1031-1038 ◽  
Author(s):  
A. FERRAZ ◽  
T. SAIKAWA ◽  
Z. Y. WENG
Keyword(s):  
Fermi Liquid ◽  
The Self ◽  
Cold Spot ◽  
Two Dimensional ◽  
Coupling Constant ◽  
Loop Order ◽  
Fermi Surfaces ◽  
Self Energy ◽  
Marginal Fermi Liquid ◽  
The One

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.

A DOMAIN MODEL OF CUPRATES

1994 ◽  
Vol 08 (22) ◽  
pp. 3083-3094 ◽  
Author(s):  
V. DALLACASA
Keyword(s):  
Fermi Liquid ◽  
Characteristic Length ◽  
Domain Model ◽  
Linear Temperature Dependence ◽  
Arbitrary Length ◽  
Linear Temperature ◽  
Bcs Model ◽  
Marginal Fermi Liquid ◽  
System Length ◽  
Enhanced Superconductivity

We have investigated the occurrence of superconductivity in a Fermi liquid of finite volume, under the assumption of a sharp surface, by solving numerically (at arbitrary length) and analytically (at the smallest lengths) the Cooper–BCS model. We find that this model can predict enhanced superconductivity with respect to the bulk BCS model when the system length L ≪ L0, in which L0 is a characteristic length. Under the same conditions the normal state is found to behave anomalously with respect to the conventional Fermi liquid, with a linear temperature dependence of the resistivity and marginal Fermi liquid properties. The results are used to implement a domain model of high T c superconductors.

scholarly journals Transport Anomalies and Marginal-Fermi-Liquid Effects at a Quantum Critical Point

2000 ◽  
Vol 85 (21) ◽  
pp. 4602-4605 ◽  
Author(s):  
D. Belitz ◽  
T. R. Kirkpatrick ◽  
R. Narayanan ◽  
Thomas Vojta
Keyword(s):  
Critical Point ◽  
Fermi Liquid ◽  
Quantum Critical Point ◽  
Marginal Fermi Liquid ◽  
Quantum Critical

ELECTRONIC PAIRING AND VARIATION IN THE NORMAL STATE OF METAL

1999 ◽  
Vol 13 (29n31) ◽  
pp. 3467-3471
Author(s):  
LIYUAN ZHANG ◽  
QIANG HAN
Keyword(s):  
Normal State ◽  
Fermi Liquid ◽  
Experimental Studies ◽  
Two Dimension ◽  
Marginal Fermi Liquid

Reviewing the situation of the experimental studies of the normal state in high-Tc super-conductors (HTS), we have put forward nine points to be necessarily considered in any theory of the normal state in HTS. It is argued that the two-dimension two-subsystem model is at least qualitatively consistent with all these nine points. On the basis of these arguments, the problem of the electronic pairing and variation in the normal state of metal has been discussed. We have put forward three variation of metals, i.e. the conventional metal (Fermi liquid), near conventional metal and the metal with the markedly pseudogapped metallic behaviour which may be a marginal Fermi liquid.

scholarly journals Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Xiao Yan Xu ◽  
Avraham Klein ◽  
Kai Sun ◽  
Andrey V. Chubukov ◽  
Zi Yang Meng
Keyword(s):  
Monte Carlo ◽  
Finite Temperature ◽  
Quantum Monte Carlo ◽  
Fermi Liquid ◽  
Quantum Critical Point ◽  
Critical Metals ◽  
Monte Carlo Data ◽  
Low Frequencies ◽  
Self Energy ◽  
Quantum Critical

Abstract Quantum Monte Carlo (QMC) simulations of correlated electron systems provide unbiased information about system behavior at a quantum critical point (QCP) and can verify or disprove the existing theories of non-Fermi liquid (NFL) behavior at a QCP. However, simulations are carried out at a finite temperature, where quantum critical features are masked by finite-temperature effects. Here, we present a theoretical framework within which it is possible to separate thermal and quantum effects and extract the information about NFL physics at T = 0. We demonstrate our method for a specific example of 2D fermions near an Ising ferromagnetic QCP. We show that one can extract from QMC data the zero-temperature form of fermionic self-energy Σ(ω) even though the leading contribution to the self-energy comes from thermal effects. We find that the frequency dependence of Σ(ω) agrees well with the analytic form obtained within the Eliashberg theory of dynamical quantum criticality, and obeys ω2/3 scaling at low frequencies. Our results open up an avenue for QMC studies of quantum critical metals.

Quasiparticle Self-Energy and Specific Heat of a Fermi Liquid: Application toHe3

1967 ◽  
Vol 19 (8) ◽  
pp. 425-428 ◽  
Author(s):  
D. J. Amit ◽  
J. W. Kane ◽  
H. Wagner
Keyword(s):  
Specific Heat ◽  
Fermi Liquid ◽  
Self Energy

Schemes for the calculation of the free energy and specific heat for marginal Fermi liquids in the normal and superconducting phase

1995 ◽  
Vol 73 (7-8) ◽  
pp. 497-504 ◽  
Author(s):  
Ranjan Chaudhury
Keyword(s):  
Free Energy ◽  
Specific Heat ◽  
Fermi Liquid ◽  
Superconducting Phase ◽  
Fermi Liquids ◽  
Many Body ◽  
Boson Exchange ◽  
Marginal Fermi Liquid

Several schemes based on the fermionic many-body approach and the boson-exchange approach are developed to calculate the free energy and specific heat for a marginal Fermi liquid in the normal and superconducting phase. The merits and demerits of these schemes are analyzed and compared. The origin of the failure of the simple Bardeen–Stephen formula is also highlighted. The analysis is carried out in light of some experiments.

Stability of marginal fermi liquid

1993 ◽  
Vol 85 (12) ◽  
pp. 1039-1042 ◽  
Author(s):  
Ranjan Chaudhury ◽  
J.P. Carbotte
Keyword(s):  
Fermi Liquid ◽  
Marginal Fermi Liquid
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