REVIEW 3 cited by
The Huang-Yang conjecture for the low-density Fermi gas
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 conjecture for the low-density Fermi gas
read the original abstract
Our work establishes a three-term asymptotic expansion of the ground state energy of a dilute gas of spin $1/2$ fermions with repulsive short-range interactions, validating a formula predicted by Huang and Yang in 1957. The formula is universal in the sense that it holds for a large class of interaction potentials and depends on those only via their scattering length. We have recently proved an upper bound on the ground state energy of the desired form, and the present work completes the program by proving the matching lower bound.
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.