Problem 1: Thermodynamics of neutral Fermi liquid: a) Write the free energy of quasi-particles in the theory of Fermi liquid. Discuss the difference of quasi-particles free energy and the free energy of non-interacting Fermi gas. b) What are the characteristic energy scales in the theory of Fermi liquid? c) What is the difference in the specific heat of quasi-particles in the theory of Fermi liquids and the specific heat of non-interacting Fermi gas. Plot the specific heat vs. temperature for both systems.
Problem 1: Thermodynamics of neutral Fermi liquid: a) Write the free energy of quasi-particles in the theory of Fermi liquid. Discuss the difference of quasi-particles free energy and the free energy of non-interacting Fermi gas. b) What are the characteristic energy scales in the theory of Fermi liquid? c) What is the difference in the specific heat of quasi-particles in the theory of Fermi liquids and the specific heat of non-interacting Fermi gas. Plot the specific heat vs. temperature for both systems.
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Transcribed Image Text:Problem 1: Thermodynamics of neutral Fermi liquid:
a) Write the free energy of quasi-particles in the theory of Fermi
liquid. Discuss the difference of quasi-particles free energy and the
free energy of non-interacting Fermi gas.
b) What are the characteristic energy scales in the theory of Fermi
liquid?
c) What is the difference in the specific heat of quasi-particles in
the theory of Fermi liquids and the specific heat of non-interacting
Fermi gas. Plot the specific heat vs. temperature for both systems.
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