Derivation of a Quasiparticle Transport Equation for an Impure Fermi Liquid at Low Temperatures

1969 ◽  
Vol 186 (1) ◽  
pp. 182-203 ◽  
Author(s):  
James L. Sigel
Keyword(s):  
Transport Equation ◽  
Low Temperatures ◽  
Fermi Liquid ◽  
Quasiparticle Transport

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 Universal description of granular metals at low temperatures: Granular Fermi liquid

2004 ◽  
Vol 70 (20) ◽  
Author(s):  
I. S. Beloborodov ◽  
A. V. Lopatin ◽  
V. M. Vinokur
Keyword(s):  
Low Temperatures ◽  
Fermi Liquid

scholarly journals Quasiparticle transport equation with collision delay. II. Microscopic theory

1997 ◽  
Vol 55 (8) ◽  
pp. 5095-5109 ◽  
Author(s):  
Václav Spicka ◽  
Pavel Lipavský ◽  
Klaus Morawetz
Keyword(s):  
Transport Equation ◽  
Microscopic Theory ◽  
Quasiparticle Transport

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

Die Leitfähigkeit eines freien Elektronengases in einem Phononenbad nach der statistischen Thermodynamik irreversibler Prozesse

1963 ◽  
Vol 18 (12) ◽  
pp. 1351-1359
Author(s):  
Rudolf Klein
Keyword(s):  
Laplace Transform ◽  
Transport Equation ◽  
Low Temperatures ◽  
Body Problem ◽  
Complex Conductivity ◽  
Many Body ◽  
Free Electrons ◽  
Diagram Method ◽  
The Laplace Transform ◽  
The Many

The formulation of the many-body problem by MARTIN and SCHWINGER is applied to a system of free electrons interacting with a phonon bath. Simplifying the general expression for the wave vector and frequency dependent complex conductivity to the case of a static dc situation the conductivity is expressed in terms of the LAPLACE transform of an appropriate GREEN'S function. By means of a simple diagram method a transport equation for this function is derived. In the lowest approximation the solution of this equation gives the BLOCH-GRÜNEISEN law for the conductivity of metals at low temperatures.

Electrical and thermal resistivity of the transition elements at low temperatures

1959 ◽  
Vol 251 (995) ◽  
pp. 273-302 ◽  
Keyword(s):  
Electrical Resistivity ◽  
Transport Equation ◽  
Low Temperatures ◽  
Group Iv ◽  
Standard Theory ◽  
Thermal Resistivity ◽  
Transition Elements ◽  
Thermal Vibrations ◽  
The Ideal

The results of measurements on 20 transition elements are reported giving values for the thermal resistivity, W , from 2 to about 140 °K and for electrical resistivity, p , from 2 to about 300 °K. Values of the ‘ideal’ resistivities, W i and p i { (due to scattering of the electrons by thermal vibrations), are deduced from these and tabulated for various temperatures. Comparisons are made with values for Cu, Ag, Au and Na and with the predictions of the ‘standard’ theory, i.e. solutions of the transport equation developed by Bloch, Grüneisen, Wilson, etc. Excepting Mn, p i follows a Bloch—Grüneisen function tolerably down to op5, although slight anomalies are shown by V, Cr, Fe, Co and Ni; at low temperatures behaviour is varied but below 10 °K in Mn, Fe, Co, Ni, Pd, Pt and perhaps in W and Nb, p i appears to vary nearly as T<super>2</super>. The parameter, piM 6 & (at 273 °K) has rather similar values for different members of each group, e.g. for Ti, Zr and Hf of group IV A. The ideal thermal resistivity, Wif can generally be approximated by the relation, WiIW ao = 2(Tld)2J 5(dlT), although for many elements, W i falls more rapidly than T 2 below010. Measurements on the relatively poor conductors, e.g. Ti, Zr and Hf, suggest the presence of an appreciable lattice conductivity, which affects the confidence with which values can be deduced for W i in these elements.

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