Ground-state phase diagram of the quantum ${J}_{1}\ensuremath{-}{J}_{2}$ model on the honeycomb lattice

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Ground-state phase diagram of the quantum $J_{1} - J_{2}$ model on the honeycomb lattice

Fabio Mezzacapo and Massimo Boninsegni

Phys. Rev. B 85, 060402(R) – Published 8 February 2012

Abstract

We study the ground-state phase diagram of the quantum $J_{1} - J_{2}$ model on the honeycomb lattice by means of an entangled-plaquette variational ansatz. Values of energy and relevant order parameters are computed in the range $0 \leq J_{2} / J_{1} \leq 1$ . The system displays classical order for $J_{2} / J_{1} ≲ 0.2$ (Néel) and for $J_{2} / J_{1} ≳ 0.4$ (collinear). In the intermediate region, the ground state is disordered. Our results show that the reduction of the half-filled Hubbard model to the model studied here does not yield accurate predictions.

Received 13 January 2012

DOI:https://doi.org/10.1103/PhysRevB.85.060402

Authors & Affiliations

Fabio Mezzacapo¹ and Massimo Boninsegni²

¹Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse1, D-85748, Garching, Germany
²Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1

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Vol. 85, Iss. 6 — 1 February 2012

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Physical Review B

covering condensed matter and materials physics

Ground-state phase diagram of the quantum $J_{1} - J_{2}$ model on the honeycomb lattice

Fabio Mezzacapo and Massimo Boninsegni

Phys. Rev. B 85, 060402(R) – Published 8 February 2012

Abstract

Authors & Affiliations

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Physical Review B

covering condensed matter and materials physics

Ground-state phase diagram of the quantum J1−J2 model on the honeycomb lattice

Fabio Mezzacapo and Massimo Boninsegni

Phys. Rev. B 85, 060402(R) – Published 8 February 2012

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Ground-state phase diagram of the quantum $J_{1} - J_{2}$ model on the honeycomb lattice