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Comment on "Ground-State Instability of a Random System"

M. V. Feigel’man, V. M. Vinokur

Physical Review LettersAug 29, 198818 citations

Ground-state instability in systems of strongly interacting fermions

S. A. ARTAMONOV, Vasily R. Shaginyan, Yu. G. Pogorelov

The stability of a fermion system is analyzed for a model repulsive pair interaction potential. The possibility of different types of restructuring of the Fermi ground state (at sufficiently great coupling constant) is related to the analyticity properties of such potential. In particular, for the screened Coulomb law it is shown that the restructuring cannot be of the Fermi condensation type, known earlier for some exactly solvable models, but instead belongs to the class of topological transitions. A phase diagram constructed for this model in the variables “screening parameter-coupling constant” displays two kinds of topological transitions: a “5/2” kind, similar to the known Lifshitz transitions in metals, and a “2” kind, characteristic for a uniform strongly interacting system.The stability of a fermion system is analyzed for a model repulsive pair interaction potential. The possibility of different types of restructuring of the Fermi ground state (at sufficiently great coupling constant) is related to the analyticity properties of such potential. In particular, for the screened Coulomb law it is shown that the restructuring cannot be of the Fermi condensation type, known earlier for some exactly solvable models, but instead belongs to the class of topological transitions. A phase diagram constructed for this model in the variables “screening parameter-coupling constant” displays two kinds of topological transitions: a “5/2” kind, similar to the known Lifshitz transitions in metals, and a “2” kind, characteristic for a uniform strongly interacting system.

arXiv:cond-mat/9811024Journal of Experimental and Theoretical Physics LettersDec 1, 199835 citations

Remark on my Paper “On Point-like Interaction between n Fermions and Another Particle”

R. A. Minlos

Moscow Mathematical JournalJan 1, 201111 citations

Multiply connected Fermi sphere and fermion condensation

MIKHAIL V. ZVEREV, M. Baldo

We examine the structure of the ground state of a homogeneous Fermi liquid beyond the instability point of the Fermi-like quasiparticle momentum distribution in the effective-functional method with a strong repulsive effective interaction. A numerical study of the initial stage of rearrangement of the ground state, based on a simple effective functional, showed that there exists a temperature T 0 , above which the behavior of the system is the same as in the theory of fermion condensation, and for T < T 0 the scenario of rearrangement of the ground state is different. At low temperatures an intermediate structure arises, with a multiply connected quasiparticle momentum distribution. The transition of this structure with growth of the coupling constant to a state with a fermion condensate is discussed.We examine the structure of the ground state of a homogeneous Fermi liquid beyond the instability point of the Fermi-like quasiparticle momentum distribution in the effective-functional method with a strong repulsive effective interaction. A numerical study of the initial stage of rearrangement of the ground state, based on a simple effective functional, showed that there exists a temperature T 0 , above which the behavior of the system is the same as in the theory of fermion condensation, and for T < T 0 the scenario of rearrangement of the ground state is different. At low temperatures an intermediate structure arises, with a multiply connected quasiparticle momentum distribution. The transition of this structure with growth of the coupling constant to a state with a fermion condensate is discussed.

Journal of Experimental and Theoretical PhysicsDec 1, 199832 citations

On the superfluid state of strongly-interacting fermions

P. Szépfalusy

Il Nuovo CimentoOct 1, 19631 citation

Stability conditions for fermion systems

Zygmunt M. Galasiewicz

Nuclear PhysicsJun 1, 19632 citations

Comment on the paper “Ground state instability in systems of strongly interacting fermions”

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