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

Abstract

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, Néel order takes place for weaker frustrations, i.e., $t^{\prime }/t\sim 0.4÷0.6$, suitable for materials with X=Cu${}_2$(SCN)${}_2$, Cu[N(CN)${}_2$]Cl, or Cu[N(CN)${}_2$]Br.

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

References in corpus (14)

• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Revision of model parameters for kappa-type charge transfer salts: an ab initio study
• Ab initio Derivation of Low-Energy Model for $\kappa$-ET Type Organic Conductors
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Comparison of the phase diagram of the half-filled layered organic superconductors with the phase diagram of the RVB theory of the Hubbard-Heisenberg model
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Superconductivity and a Mott Transition in a Hubbard Model on an Anisotropic Triangular Lattice
• Dynamics and transport of the Z_2 spin liquid: application to kappa-(ET)2Cu2(CN)3
• Absence of superconductivity in the half-filled band Hubbard model on the anisotropic triangular lattice
• Symmetry of the superconducting order parameter in frustrated systems determined by the spatial anisotropy of spin correlations
• Study of the Hubbard model on the triangular lattice using dynamical cluster approximation and dual fermion methods
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model

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