Long range Neel order in the triangular Heisenberg model

Abstract

We have studied the Heisenberg model on the triangular lattice using several Quantum Monte Carlo (QMC) techniques (up to 144 sites), and exact diagonalization (ED) (up to 36 sites). By studying the spin gap as a function of the system size we have obtained a robust evidence for a gapless spectrum, confirming the existence of long range Neel order. Our best estimate is that in the thermodynamic limit the order parameter m= 0.41 +/- 0.02 is reduced by about 59% from its classical value and the ground state energy per site is e0=-0.5458 +/- 0.0001 in unit of the exchange coupling. We have identified the important ground state correlations at short distance.

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References in corpus (5)

• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Green Function Monte Carlo with Stochastic Reconfiguration
• Possible Quantum Spin Liquid States on the Triangular and Kagome Lattices
• Charge fluctuations close to phase separation in the two dimensional t-J model
• Rotational invariance and order-parameter stiffness in frustrated quantum spin systems

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