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We study the energetics and dispersion of anomalous dimers that are inducedby the Pauli blocking effect in a quantum Fermi gas of majority atoms nearinterspecies resonances. Unlike in vacuum, we find that both the sign andmagnitude of the dimer masses are tunable via Feshbach resonances. We alsoinvestigate the effects of particle-hole fluctuations on the dispersion ofdimers and demonstrate that the particle-hole fluctuations near a Fermi surface(with Fermi momentum $\hbar k_F$) generally reduce the effective two-bodyinteractions and the binding energy of dimers. Furthermore, in the limit oflight minority atoms the particle-hole fluctuations disfavor the formation ofdimers with a total momentum $\hbar k_F$, because near $\hbar k_F$ the modeswhere the dominating particle-hole fluctuations appear are the softest. Ourcalculation suggests that near broad interspecies resonances when theminority-majority mass ratio $m_B/m_F$ is smaller than a critical value(estimated to be 0.136), dimers in a finite-momentum channel are energeticallyfavored over dimers in the zero-momentum channel. We apply our theory toquantum gases of $^{6}$Li$^{40}$K, $^{6}$Li$^{87}$Rb, $^{40}$K$^{87}$Rb and$^{6}$Li$^{23}$Na near broad interspecies resonances, and discuss thelimitations of our calculations and implications.

Anomalous Dimers in Quantum Mixtures near Broad Resonances: Pauli Blocking, Fermi Surface Dynamics and Implications