Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins

Abstract

We demonstrate, by considering the triangular lattice spin-1/2 Heisenberg model, that Monte Carlo sampling of skeleton Feynman diagrams within the fermionization framework offers a universal first-principles tool for strongly correlated lattice quantum systems. We observe the fermionic sign blessing---cancellation of higher order diagrams leading to a finite convergence radius of the series. We calculate the magnetic susceptibility of the triangular-lattice quantum antiferromagnet in the correlated paramagnet regime and reveal a surprisingly accurate microscopic correspondence with its classical counterpart at all accessible temperatures. The extrapolation of the observed relation to zero temperature suggests the absence of the magnetic order in the ground state. We critically examine the implications of this unusual scenario.

5 pages, 4 figures, final version published in PRL

References in corpus (5)

• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Magnetic phase diagrams of classical triangular and kagome antiferromagnets
• Bold Diagrammatic Monte Carlo technique for frustrated spin systems

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