$κ-(BEDT-TTF)_2X$ organic crystals: superconducting versus antiferromagnetic instabilities in an anisotropic triangular lattice Hubbard model

Details $κ-(BEDT-TTF)_2X$ organic crystals: superconducting versus antiferromagnetic instabilities in an anisotropic triangular lattice Hubbard model $κ-(BEDT-TTF)_2X$ organic crystals: superconducting versus antiferromagnetic instabilities in an anisotropic triangular lattice Hubbard model

2000-10-24

arxiv.org/abs/cond-mat/0010355v1

Can. J. Phys., 79 (2001) 1463

Physics

Condensed Matter

Superconductivity

4 pages, 5 eps figs, to appear in Can. J. Phys. (proceedings of the Highly Frustrated Magnetism (HFM-2000) conference, Waterlo

Scientific paper

10.1139/cjp-79-11-12-1463

A Hubbard model at half-filling on an anisotropic triangular lattice has been proposed as the minimal model to describe conducting layers of $\kappa-(BEDT-TTF)_2X$ organic materials. The model interpolates between the square lattice and decoupled chains. The $\kappa-(BEDT-TTF)_2X$ materials present many similarities with cuprates, such as the presence of unconventional metallic properties and the close proximity of superconducting and antiferromagnetic phases. As in the cuprates, spin fluctuations are expected to play a crucial role in the onset of superconductivity. We perform a weak-coupling renormalization-group analysis to show that a superconducting instability occurs. Frustration in the antiferromagnetic couplings, which arises from the underlying geometrical arrangement of the lattice, breaks the perfect nesting of the square lattice at half-filling. The spin-wave instability is suppressed and a superconducting instability predominates. For the isotropic triangular lattice, there are again signs of long-range magnetic order, in agreement with studies at strong-coupling.

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