Questions tagged [fermi-liquids]
Fermi liquid theory (also known as Landau–Fermi liquid theory) is a theoretical model of interacting fermions that describes the normal state of most metals at sufficiently low temperatures. The phenomenological theory of Fermi liquids was introduced by the Soviet physicist Lev Davidovich Landau in 1956.
70
questions
23
votes
1
answer
2k
views
Strong interacting v.s. Strong Coupling v.s. Strong Correlated
One of the active research areas in present is Strong interacting, Strong Coupling, Strong Correlated regime of the phases of matters.
It seems to me that some physicists in the fields often mix the ...
- 7,848
12
votes
2
answers
1k
views
The "dangerous" fixed points for Renormalization Group
What is the definition of dangerously irrelevant renormalization-group (RG) fixed point?
What are some examples of dangerously irrelevant RG fixed points?
Do we also have the use of dangerously ...
- 7,848
12
votes
1
answer
668
views
What "transformations" did Abrikosov use in 1958 to get the famous $11-2\log{2}$ result in fermi-liquid theory?
How does one obtain the final integral expression in the appendix of Abrikosov and Khalatnikov's 1958 paper: $\ \ \ $ "Concerning a model for a non-ideal fermi gas" $\ \ \ $ ???
Below, in Bold, I ...
- 121
11
votes
1
answer
2k
views
Fermi Liquid Theory Reference
I am trying to study Fermi liquid theory as a primer to understand what so-called non-Fermi liquids are. In particular, I want to understand the predictions of Fermi liquid theory (such as temperature ...
10
votes
1
answer
898
views
Finite quasiparticle lifetimes in Fermi Liquid Theory
I am trying to clarify a conceptual issue about phenomenological Fermi liquid theory. My confusion can be explained using the following two sentences from Dupuis's many body theory notes, but the same ...
- 3,098
9
votes
0
answers
1k
views
Failure of Hertz-Millis-Moriya theory for quantum phenomena
In the quantum critical phenomena of condensed matter, the earlier work by Hertz, Moriya and Millis develope the the Hertz-Millis-Moriya (HMM) theory of quantum phase transition.
Naively, they ...
- 7,848
8
votes
1
answer
159
views
Can Fermi liquid be obtained by a canonical transformation?
The basic assumption of the Ferm-liquid theory is the one-to-one correspondence between the states of an interacting Fermi gas to those of a gas of non-interacting quasiparticles. The question is ...
- 60.3k
8
votes
0
answers
409
views
Is that possible to derive Landau-Fermi liquid theory from microscopic equation?
This question arises from reading Wen's book "Quantum Field Theory of Many-body Systems (Oxford 2004)" p204
To appreciate the brilliance of Landau-Fermi liquid theory, let us look at the
many-...
- 6,401
7
votes
2
answers
1k
views
Why is the density of the Fermi gas in a neutron star not changing the potential depth caused by the strong nuclear interaction?
In some textbooks, the neutron star is explained as a degenerate Fermi gas. To calculate the degenerate pressure of the neutron fermi gas the average Energy of a neutron, U is calculated when the ...
- 73
7
votes
1
answer
2k
views
Self-energy of a Fermi liquid
A weakly correlated many-electron system can be viewed in a first approximation as a Fermi liquid, meaning that it behaves similarly to a non-interacting electron gas with renormalized parameters.
In ...
- 2,469
7
votes
1
answer
733
views
Why gapped systems are called incompressible?
I study quantum Hall systems and I haven't studied Fermi liquid theory yet. But I understand the concept of having gap or being gapless. But why do we use the term incompressibility to correspond the ...
- 331
6
votes
1
answer
1k
views
Quasiparticle density of states : how to give it a meaning as the quasi particle are interacting?
There is something I don't understand about quasiparticles density of states.
I work with the book "Introduction to many body physics" from Coleman.
When he introduces the quasiparticle he does the ...
- 1,450
6
votes
1
answer
291
views
Volovik's argument and superconductivity
In Volovik's book he describes the Fermi surface as a vortex in energy+momentum space. Due to a winding number the Fermi surface is topologically protected.
I don't understand how the above ...
- 63
6
votes
1
answer
674
views
Specific Heat of a Fermi Liquid
Let me give a bit of context before asking the actual questions:
In the second edition of Condensed Matter Physics, Michael P. Marder derives the specific heat of Fermi liquids in chapter 17.5.4.
He ...
- 546
5
votes
2
answers
685
views
Unitary Fermi Gas vs. Fermi Liquid
The unitary limit of a Fermi gas is described here as when the scattering length is comparable or exceeds the interparticle distance. For $ak_F<0$, this is the BCS limit of a weakly interacting ...
- 2,665