Character of frustration on magnetic correlation in doped Hubbard model

Abstract

The magnetic correlation in the Hubbard model on a two-dimensional anisotropic triangular lattice is studied by using the determinant quantum Monte Carlo method. Around half filling, it is found that the increasing frustration $t^{\prime }/t$ could change the wave vector of maximum spin correlation along ($\pi ,\pi$)$\to$($\pi ,\frac{5\pi }{6}$)$\to$($\frac{5\pi }{6},\frac{5\pi }{6}$)$\to$ ($\frac{2\pi }{3},\frac{2\pi }{3}$), indicating the frustration's remarkable effect on the magnetism. In the studied filling region <n>=1.0-1.3, the doping behaves like some kinds of {\it{frustration}}, which destroys the $(\pi ,\pi )$ AFM correlation quickly and push the magnetic order to a wide range of the $(\frac{2\pi }{3},\frac{2\pi }{3})$ $120^{\circ }$ order when the $t^{\prime }/t$ is large enough. Our non-perturbative calculations reveal a rich magnetic phase diagram over both the frustration and electron doping.

6 pages, 7 figures

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Cited by in corpus (1)

• Anisotropy crossover in the frustrated Hubbard model on four-chain cylinders