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NATO ASI series. Series B : Physics

Non-Fermi Liquid Behavior of Electrons in the 2D Honeycomb Lattice: A Renormalization Group Analysis

J. González, María A. H. Vozmediano

Published Jan 1, 1995• 1 citation
Publisher
DOI
10.1007/978-1-4899-1042-4_30

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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.
We study the Kondo-Heisenberg model on the honeycomb lattice at half filling. Due to the vanishing of the density of states at the fermi level, the Kondo insulator disappears at a finite Kondo coupling even in the absence of the Heisenberg exchange. We adopt a large-NNN formulation of this model and use the renormalization group machinery to study systematically the second order phase transition of the Kondo insulator (KI) to the algebraic spin liquid (ASL). We note that neither phase breaks any physical symmetry, so that the transition is not described by the standard Ginzburg-Landau-Wilson critical point. We find a stable Lorentz-invariant fixed point that controls this second order phase transition. We calculate the exponent $\ensuremath{\nu}$ of the diverging length scale near the transition. The quasiparticle weight of the conduction electron vanishes at this KI-ASL fixed point, indicating non-Fermi-liquid behavior. The algebraic decay exponent of the staggered spin correlation is calculated at the fixed point and in the ASL phase. We find a jump in this exponent at the transition point.