Spin-liquid and magnetic phases in the anisotropic triangular lattice: the case of $κ$-(ET)$_2$X

Details Spin-liquid and magnetic phases in the anisotropic triangular lattice: the case of $κ$-(ET)$_2$X Spin-liquid and magnetic phases in the anisotropic triangular lattice: the case of $κ$-(ET)$_2$X

2009-06-12

arxiv.org/abs/0906.2288v2

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, Physical Review B 80, 064419 (2009)

Scientific paper

The two-dimensional Hubbard model on the anisotropic triangular lattice, with two different hopping amplitudes $t$ and $t^\prime$, is relevant to describe the low-energy physics of $\kappa$-(ET)$_2$X, a family of organic salts. The ground-state properties of this model are studied by using Monte Carlo techniques, on the basis of a recent definition of backflow correlations for strongly-correlated lattice systems. The results show that there is no magnetic order for reasonably large values of the electron-electron interaction $U$ and frustrating ratio $t^\prime/t = 0.85$, suitable to describe the non-magnetic compound with X=Cu$_2$(CN)$_3$. On the contrary, N\'eel order takes place for weaker frustrations, i.e., $t^\prime/t \sim 0.4 \div 0.6$, suitable for materials with X=Cu$_2$(SCN)$_2$, Cu[N(CN)$_2$]Cl, or Cu[N(CN)$_2$]Br.

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