Absence of spin liquid in non-frustrated correlated systems

Abstract

The question of the existence of a spin liquid state in the half-filled Hubbard model on the honeycomb (aka graphene) lattice is revisited. The Variational Cluster Approximation (VCA), the Cluster Dynamical Mean Field Theory (CDMFT) and the Cluster Dynamical Impurity Approximation (CDIA) are applied to various cluster systems. Assuming that the spin liquid phase coincides with the Mott insulating phase in this non-frustrated system, we find that the Mott transition is pre-empted by a magnetic transition occuring at a lower value of the interaction $U$, and therefore the spin liquid phase does not occur. This conclusion is obtained using clusters with two bath orbitals connected to each boundary cluster site. We argue that using a single bath orbital per boundary site is insufficient and leads to the erroneous conclusion that the system is gapped for all nonzero values of $U$.

4 pages, 5 figures. Accepted for publication in Physical Review Letters

References in corpus (5)

• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Variational cluster approach to correlated electron systems in low dimensions
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study

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