Perturbation Theory for an Infinite Medium of Fermions. III. Derivation of the Landau Theory of Fermi Liquids

1961 ◽  
Vol 121 (4) ◽  
pp. 957-961 ◽  
Author(s):  
Abraham Klein
Keyword(s):  
Perturbation Theory ◽  
Landau Theory ◽  
Infinite Medium ◽  
Fermi Liquids

Landau theory of Fermi liquids and the integration-over-the-coupling-constant algorithm

1994 ◽  
Vol 49 (20) ◽  
pp. 14172-14178 ◽  
Author(s):  
Sudhakar Yarlagadda ◽  
Gabriele F. Giuliani
Keyword(s):  
Landau Theory ◽  
Fermi Liquids ◽  
Coupling Constant

Landau theory of Fermi liquids reformulated

1986 ◽  
Vol 138 (3) ◽  
pp. 404-414 ◽  
Author(s):  
Ch.G. van Weert ◽  
M.C.J. Leermakers ◽  
A.M.J. Schakel
Keyword(s):  
Landau Theory ◽  
Fermi Liquids

The heat capacity of liquid 3He beyond T3 log T

1987 ◽  
Vol 65 (11) ◽  
pp. 1549-1551
Author(s):  
A. M. J. Schakel ◽  
Ch. J. Calkoen ◽  
Ch. G. van Weert
Keyword(s):  
Heat Capacity ◽  
Magnetic Susceptibility ◽  
Temperature Dependence ◽  
Analytic Functions ◽  
Spin Fluctuation ◽  
Landau Theory ◽  
Particle Mass ◽  
Fermi Liquids ◽  
Quasi Particle ◽  
Fluctuation Model

The heat capacity of liquid 3He up to 2.5 K is calculated on the basis of a spin-fluctuation model in the context of the Landau theory of Fermi liquids. A good fit of the data is achieved by including the temperature dependence of the magnetic susceptibility and by using a different, smaller, quasi-particle mass. It is also shown that the magnetic susceptibility and the compressibility are analytic functions of the temperature.

Sum rules and the landau theory of fermi liquids

1972 ◽  
Vol 6 (3-4) ◽  
pp. 397-408 ◽  
Author(s):  
Emil Safier ◽  
Allan Widom
Keyword(s):  
Sum Rules ◽  
Landau Theory ◽  
Fermi Liquids

scholarly journals Calculation of nonequilibrium thermodynamic potential of Bose system near the condensation point

2018 ◽  
Vol 26 (2) ◽  
pp. 7-16
Author(s):  
K. M. Haponenko ◽  
A. I. Sokolovsky
Keyword(s):  
Perturbation Theory ◽  
Phase Transitions ◽  
Thermodynamic Potential ◽  
Landau Theory ◽  
Nonequilibrium Thermodynamic ◽  
Bose Gas ◽  
Bose System ◽  
Effective Hamiltonian ◽  
Thermodynamic Perturbation Theory ◽  
Thermodynamic Perturbation

Bose system of zero spin particles is considered in the presence of the Bose–Einstein condensate in the vicinity of the phase transition point. The system is investigated in the framework of the Bogolyubov model with the separated condensate. In this model an effective Hamiltonian of the system is introduced by replacing condensate creation and annihilation operators in system Hamiltonian by n01/2 where n0 is occupation number of the condensate state. According to Bogolyubov, the grand canonical thermodynamic potential related to the effective Hamiltonian is considered as nonequilibrium thermodynamic potential. In the present paper this potential is investigated as a function of the small  variable n0. With the help of the thermodynamic perturbation theory it is shown that it is expanded in a series over integer powers of n0. This corresponds to the basic idea of the Landau theory of the phase transitions of the second kind. Coefficients at terms of the first and second orders in n0 in the expansion are calculated for Bose gas in the main approximation in small interaction. Calculation of the coefficients at terms of the third and fourth orders needs accounting contributions of the thermodynamic perturbation theory at least of the 4th order and will be done elsewhere. It is established that the results obtained for Bose gas do not fit into the Landau theory of phase transitions of the second kind. Some comments that discuss the situation are given.

Landau theory of relativistic Fermi liquids

1976 ◽  
Vol 262 (3) ◽  
pp. 527-538 ◽  
Author(s):  
Gordon Baym ◽  
Siu A. Chin
Keyword(s):  
Landau Theory ◽  
Fermi Liquids ◽  
Relativistic Fermi

Nucleation of superconductivity in decreasing fields. I

1994 ◽  
Vol 5 (4) ◽  
pp. 449-468 ◽  
Author(s):  
S. J. Chapman
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
External Magnetic Field ◽  
Superconducting State ◽  
Landau Theory ◽  
Ginzburg Landau ◽  
Systematic Perturbation

The bifurcation from a normally conducting to a superconducting state as an external magnetic field is lowered is examined using the Ginzburg-Landau theory. The results for three specific examples are reviewed, extended and unified in the framework of a systematic perturbation theory introduced in [1].

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