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Bulletin of the American Physical Society

Searching for stripe order in the Hubbard model

Edwin W. Huang, Christian B. Mendl, Hong‐Chen Jiang, Shenxiu Liu, Y. F. Kung, Brian Moritz, Steven Johnston, Thomas Devereaux

Published Mar 18, 2016• 0 citations
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In stripe phases, a ``hidden order'' can exist as an order parameter on the charged stripes. A simple example arises in an unrestricted Hartree-Fock calculation of the Hubbard model, where a (metastable) solution is found which closely resembles the stripe phase of White and Scalapino. By comparison with uniform mean-field solutions, it is demonstrated that this phase develops from phase separation, and the order on the charged stripes is identified. The interface surface tension becomes negative for sufficiently narrow stripes, at which point the stripes begin to meander, gradually crossing from vertical to diagonal with decreasing doping.
The Hubbard model is known to accommodate various electronic orders, including stripes, which are important for understanding the physics of cuprates. We study spin-stripe order in the square lattice Hubbard model as a function of doping and temperature, by solving the Bethe-Salpeter equation with the local vertex from dynamical mean field theory (DMFT), both inside and outside the antiferromagnetic phase. We find broad regions of horizontal/vertical spin stripes at low temperatures for the model with and without next-nearest neighbor hopping. Their wavelength depends on hole doping in a nonlinear fashion, and is highly sensitive to the ratio of nearest and next-nearest neighbor hoppings.