Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice

Abstract

A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial dimensions is one of the most challenging and debated issues in condensed matter physics. Very recently, it has been reported that a model of graphene, i.e., the Hubbard model on the honeycomb lattice, can show a spin liquid ground state in a wide region of the phase diagram, between a semi-metal (SM) and an antiferromagnetic insulator (AFMI). Here, by performing numerically exact quantum Monte Carlo simulations, we extend the previous study to much larger clusters (containing up to 2592 sites), and find, if any, a very weak evidence of this spin liquid region. Instead, our calculations strongly indicate a direct and continuous quantum phase transition between SM and AFMI.

15 pages with 7 figures and 9 tables including supplementary information, accepted for publication in Scientific Reports

References in corpus (4)

• The electronic properties of graphene
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets

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