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.

Specific heat of a marginal Fermi liquid

1996 ◽  
Vol 9 (1) ◽  
pp. 49-52 ◽  
Author(s):  
M. Crisan ◽  
C. P. Moca
Keyword(s):  
Specific Heat ◽  
Fermi Liquid ◽  
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.

THE INHOMOGENEOUS HEISENBERG CHAIN WITH THE INTERACTION OF CLASSICAL AND QUANTUM SPINS

2000 ◽  
Vol 14 (11) ◽  
pp. 1179-1185
Author(s):  
B. I. SADOVNIKOV ◽  
N. G. INOZEMTSEVA ◽  
V. I. INOZEMTSEV
Keyword(s):  
Free Energy ◽  
Specific Heat ◽  
Heisenberg Chain ◽  
Spin Correlations ◽  
Quantum Spins ◽  
Explicit Expressions

The thermodynamics of an inhomogeneous 1D Heisenberg chain with alternating classical and quantum spins is studied. The explicit expressions for the free energy, specific heat, thermal spin correlations and linear susceptibility are found.

scholarly journals Anharmonic Contributions to the Vibratory Free Energy of a Lattice

1964 ◽  
Vol 17 (3) ◽  
pp. 269 ◽  
Author(s):  
P Lloyd
Keyword(s):  
Free Energy ◽  
Specific Heat ◽  
Constant Volume ◽  
Bethe Approximation ◽  
Rate Of Increase

The anharmonic contribution to the free energy of a lattice is evaluated by means of a Bethe approximation. The approximation is accurate to within 3% for the model valuated by Maradudin, Flinn, and Coldwell� Horsfall. The anharmonic contribution to the specific heat at constant volume of a model of sodium is evaluated.The specific heat is found to increase as the temperature rises but the rate of increase is lower than the observed value

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.

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