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APS

Finite-temperature Properties of the Fermi-Hubbard Model on the Honeycomb Lattice

Baoming Tang, Ehsan Khatami, Thereza Paiva, Marcos Rigol

Published Feb 1, 2012• 0 citations
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In this paper we study the low temperature (T→0T\rightarrow 0T→0) behaviors of the weakly interacting Hubbard model on the honeycomb lattice with a bare chemical potential, which takes values in a small neighborhood of the renormalized chemical potential μμμ, which is fixed to be 111. We prove that the two-point Schwinger's function is an analytic function of the coupling constant λλλ in the domain ∣λ∣⋅∣log⁡T∣2<1|λ|\cdot|\log T|^2<1∣λ∣⋅∣logT∣2<1. But the ground state of this model is not a Fermi liquid, because analytic properties of self-energy don't satisfy the Salmhofer's criterion on the Fermi liquids at finite temperature.