Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-10-04
Physics
Condensed Matter
Strongly Correlated Electrons
10 pages, 2 figures, to be published in the Proceedings of Workshop on Condensed Matter Theories CMT26, Luso, Portugal, 2002
Scientific paper
We consider a system of fermions with mass m and model repulsive interaction U(q) = g/\sqrt{q^2 + q_0^2}, where q is the momentum transfer, q_0 the screening constant, and g > 0 the coupling constant. It is shown that at g > g_cr > 3\pi^2/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 \infty 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^* \sim m N/ln(N) to non-Fermi-liquid behavior with m^* \propto 1/T at T > T^* \sim T_F ln(N)/N.
Pogorelov Yu. G.
Shaginyan Vasily R.
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