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Fermions under strong repulsion: from multiconnected Fermi surfaces to Fermi condensation

Yu. G. Pogorelov·V. R. Shaginyan
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Abstract

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 > 3π^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.

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Yu. G. Pogorelov, V. R. Shaginyan. 2002-10-04. Fermions under strong repulsion: from multiconnected Fermi surfaces to Fermi condensation. https://arxiv.org/abs/cond-mat/0210109

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