REVIEW 3 cited by
The Huang-Yang formula for the low-density Fermi gas: upper bound
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
The Huang-Yang formula for the low-density Fermi gas: upper bound
read the original abstract
We study the ground state energy of a gas of spin $1/2$ fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density $\rho$, with the Huang-Yang conjecture. The latter captures the first three terms in an asymptotic low-density expansion, and in particular the Huang-Yang correction term of order $\rho^{7/3}$. Our trial state is constructed using an adaptation of the bosonic Bogoliubov theory to the Fermi system, where the correlation structure of fermionic particles is incorporated by quasi-bosonic Bogoliubov transformations. In the latter, it is important to consider a modified zero-energy scattering equation that takes into account the presence of the Fermi sea, in the spirit of the Bethe-Goldstone equation.
Forward citations
Cited by 3 Pith papers
-
Ground State Energy of Dilute Fermi Gases in 1D
Proves that the ground state energy of dilute 1D spin-J Fermi gases with repulsive interactions asymptotes to the ground state energy of a corresponding spin chain.
-
The Huang--Yang formula for a two-dimensional Fermi gas: upper bound
Derives an upper bound on the ground state energy of a dilute 2D Fermi gas that captures the first three terms in the small ρa² asymptotic expansion.
-
Semi-classical limit of an attractive Fermi gas in one or two dimensions
For trapped attractive Fermi gases in 1D and 2D, as N grows the ground-state energy approaches the Thomas-Fermi energy, and ground states converge via Husimi functions.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.