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

A SELF-ENERGY FUNCTIONAL FOR THE INFINITE-DIMENSIONAL HUBBARD MODEL

1992 ◽  
Vol 06 (28) ◽  
pp. 1827-1833 ◽  
Author(s):  
Y.M. LI ◽  
N. d’AMBRUMENIL
Keyword(s):  
Hubbard Model ◽  
Specific Heat ◽  
Fermi Liquid ◽  
Natural Extension ◽  
Energy Functional ◽  
Symmetric Case ◽  
Kondo Temperature ◽  
Infinite Dimensional ◽  
Self Energy ◽  
Uncorrelated State

We present an approximate self-energy functional for the infinite-dimensional Hubbard model. This functional is a natural extension of the exact solution of the Falicov-Kimball model to the spin-symmetric case, and is exact in the uncorrelated and atomic limits. Using the functional we calculate the susceptibility and the specific heat for the Lorentzian density of states. We find that the susceptibility crosses over smoothly from that expected for an uncorrelated state with antiferromagnetic fluctuations to a Fermi liquid state at low temperature via a Kondo-type anomaly. The specific heat shows a peak at the corresponding Kondo temperature.

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.

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.

Logarithmic Terms in the Specific Heat of a Normal Fermi Liquid

1968 ◽  
Vol 175 (1) ◽  
pp. 326-331 ◽  
Author(s):  
D. J. Amit ◽  
J. W. Kane ◽  
H. Wagner
Keyword(s):  
Specific Heat ◽  
Fermi Liquid ◽  
Normal Fermi

scholarly journals Specific heat of 3He in the fermi liquid region

1983 ◽  
Author(s):  
M. C. Mayberry ◽  
William E. Fogle ◽  
Norman E. Phillips
Keyword(s):  
Specific Heat ◽  
Fermi Liquid ◽  
Liquid Region

Field effect on the non-Fermi liquid in Ce(Ru0.5Rh0.5)2Si2 as studied by specific heat measurements

2004 ◽  
Vol 272-276 ◽  
pp. 197-198 ◽  
Author(s):  
Y Tabata ◽  
T Taniguchi ◽  
K Yamanaka ◽  
S Kawarazaki
Keyword(s):  
Specific Heat ◽  
Fermi Liquid ◽  
Field Effect

Specific Heat of a Normal Fermi Liquid. I. Landau-Theory Approach

1973 ◽  
Vol 7 (1) ◽  
pp. 304-318 ◽  
Author(s):  
C. J. Pethick ◽  
G. M. Carneiro
Keyword(s):  
Specific Heat ◽  
Fermi Liquid ◽  
Landau Theory ◽  
Theory Approach ◽  
Normal Fermi
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