All Questions
Tagged with fermi-liquids many-body
20
questions
0
votes
1
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150
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Quasi-particle distribution in Fermi liquid theory
In Fermi liquid theory, the quasi-particle is well-defined only near the Fermi surface. However, in calculating specific heat and compressibility, we also assume that the quasi-particle obeys the ...
- 49
1
vote
1
answer
108
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Is is possible to extract an effective Hamiltonian from a Boltzmann equation (or any other kinetic theories)?
I got kind of confused when reading Xiaogang Wen's famous textbook Quantum Field Theory of Many-body Systems. In Section 5.3.3 the book claims that
From a kinetic theory of Fermi liquid (a Boltzmann ...
- 351
10
votes
1
answer
898
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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
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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
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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
1
vote
1
answer
62
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(Coleman many-body Chapter 8) Validity of near-Fermi-surface approximation
In the Chapter 8 of Coleman's many-body physics book, he argues as follows. In the impurity problem, the approximate self-energy can be written as (8.89). I have no problem until this part. However, I ...
- 1,081
3
votes
1
answer
116
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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
252
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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
7
votes
1
answer
733
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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
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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
2
votes
1
answer
400
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Is there a physical meaning of the Fermi liquid parameters
In Fermi liquid theory we define two parameters $F_l^s = VN(\epsilon_F)u_l^s$ and $F_l^a = VN(\epsilon_F)u_l^a$ where V is the fermi-volume, $N(\epsilon_F)$ the density of states at the Fermi energy ...
- 437
12
votes
1
answer
668
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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
2
votes
0
answers
162
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Infrared cutoff in the Kramers-Kronig relation for the marginal Fermi liquid
I am going through Andre-Marie Tremblay's derivation of the real part of the self energy in his lecture notes on the many-body problem. On page
254, if we take the imaginary $\Sigma''(k,\,\omega)\sim \...
- 2,665
2
votes
1
answer
371
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How can density functional theory (DFT) be understood in many body perturbation theory (MBPT) language?
Many body interacting fermions problems are formulated in the many body perturbation theory language using Feynman diagrams and imaginary time formalism. To the best of my knowledge the kinetic energy ...
- 636
1
vote
0
answers
99
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Derivation of response function from dynamic form factor
In the book The theory of quantum liquids by Pines and Nozzieres, I have trouble understanding how one goes from formula 2.58 to formula 2.62 and 2.63 on page 99.
So,one defines the response ...
- 11