All Questions
Tagged with fermi-liquids condensed-matter
43
questions
3
votes
1
answer
88
views
How to find plasmon from Landau-Silin equation?
In David Pine's Theory Of Quantum Liquids: Normal Fermi Liquids, it's said that we can find charged Fermi liquid has plasmon modes easily from Eq. (3.40), replicated as follows:
$$
(\boldsymbol{q} \...
- 351
0
votes
0
answers
57
views
Is (Landau's) Fermi liquid theroy a classical theory?
As a person majoring in condensed matter physics, I frequently encounter Landau Fermi-liquid theory. Almost every literature says that the concept of the adiabatic continuity (to the non-interacting ...
- 83
0
votes
1
answer
74
views
Pauli Exclusion Principle in Landau Fermi's liquid theory
I do not understand how Pauli exclusion principle helps us to understand the excitations in Landau Fermi's liquid theory. In Landau Fermi liquid theory, Pauli exclusion principle and adiabatic ...
- 413
10
votes
1
answer
898
views
Finite quasiparticle lifetimes in Fermi Liquid Theory
I am trying to clarify a conceptual issue about phenomenological Fermi liquid theory. My confusion can be explained using the following two sentences from Dupuis's many body theory notes, but the same ...
- 3,098
0
votes
1
answer
202
views
Excitations in Luttinger liquids
It's not clear to me what are the elementary excitations of Luttinger liquids. Quoting from Giamarchi's book Quantum Physics in One Dimension:
In one dimension, [...], an electron that tries to ...
- 1,396
2
votes
1
answer
311
views
Bosonization and peculiarities of 1-D systems of interacting fermions
I'm studying bosonization and from what I've understood the main reasons why it's useful are that:
For models such as the Hubbard model the Bethe Ansatz, though it allows to evaluate eigenvalues and ...
- 1,396
2
votes
1
answer
96
views
Mermin's derivation on the existence of zero sound
I have a question concerning Mermin's 1967 paper "Existence of Zero Sound in a Fermi Liquid". The condition on zero sound is given by the equation
$$\lambda_n>\eta^{-1}\int \frac{d\hat{n}}...
- 2,665
3
votes
1
answer
116
views
Calculating the inelastic quasiparticle lifetime of a screened quantum fluid
I've been studying "Lifetime of a quasiparticle in an electron liquid", by Qian and Vignale. Much of it makes sense, but there is a detail in the calculation of the exchange term that doesn't make ...
- 2,665
2
votes
1
answer
168
views
Energy of Fermi Gas $T>0$
I'm trying to plot $ \frac{E(T)}{N\epsilon_F} $ vs $\frac{T}{T_F}$
I know that the total energy comes from $$ E(T) = \int_{0}^{\inf} \frac{3}{2}\frac{N}{\epsilon_F}(\frac{\epsilon}{\epsilon_F})^{1/2} ...
- 27
2
votes
1
answer
252
views
Negative curvature of zero sound dispersion
In the theory of a Landau-Fermi liquid, one of the major predictions is the dispersion of zero sound. From the linearized kinetic equation, we know that the dimensionless dispersion $s$ is given by
$$ ...
- 2,665
2
votes
1
answer
495
views
Non-Fermi Liquids
In Fermi liquid theory, the assumption made (to my knowledge) about the status of quasi particles from the field theory point of view is that the self energy $\Sigma$ in the interacting theory does ...
- 349
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
3
votes
1
answer
469
views
Why do we have to introduce quasiparticles in the Fermi liquid theory
Why is it necessary in Fermi liquid theory to introduce quasiparticles? I understand the notion of system where someone can turn on the interactions slowly (i.e., adiabatically), but I do not ...
- 437
1
vote
0
answers
154
views
Temperature Dependence of the Kubo Formula
I'm trying to calculate the DC conductivity of a Renormalized Fermi Liquid with Green's function
\begin{equation}
G(i\omega,k)=\frac{Z}{i\omega-Z\tilde{\epsilon}_k-ig\omega^2}
\end{equation}
where $...
- 4,827
1
vote
0
answers
105
views
Marginal interactions for Fermi surfaces
I am struggling to understand Polchinski’s derivation (https://arxiv.org/abs/hep-th/9210046) of the conditions for marginality of the 4-fermi operator.
For a scattering process $(\mathbf{p}_1,\mathbf{...
- 169