2002/10/04 by Yu. G. Pogorelov, Pogorelov, Yu. G., V. R. Shaginyan +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Chromodynamics and Particle Interactions #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.cond-mat/0210109
10 pages, 2 figures, to be published in the Proceedings of Workshop on Condensed Matter Theories CMT26, Luso, Portugal, 2002
arxiv created 2002/10/04 · openalex publication_date 2002/10/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a system of fermions with mass m and model repulsive interaction U(q) = g/√(q2 + q02), where q is the momentum transfer, q0 the screening constant, and g > 0 the coupling constant. It is shown that at g > gcr > 3π2/m the system ground state is changed from fully occupied Fermi sphere to multiconnected Fermi sphere (MFS), consisting in N fully occupied spherical layers (icebergs) separated by empty spacers. An effective description is developed for such states at N >> 1, showing their tendency at N → ∞ to the Fermi condensate (FC) state known for the model U(q) = g/q [Khodel, Shaginyan, JETP Lett., 51, 553, 1990]. At finite temperatures, a crossover is predicted from the Fermi liquid behavior of MFS with effective mass m^* ∼ m N/ln(N) to non-Fermi-liquid behavior with m^* ∝ 1/T at T > T^* ∼ TF ln(N)/N.