Existence of zero-energy modes in the finite edged Kitaev honeycomb model
نویسنده
چکیده
We describe how the Kitaev honeycomb model with a finite number of sites on a torus may be easily generalised to cylindrical and rectangular topologies using a recently developed fermionisation technique. We then look for criteria which determine if zero-energy modes exist for these cases in the absence of an external magnetic field. For the cylindrical case, we determine the combination of spin–spin coupling strengths and vortex configurations which give zero modes and construct them explicitly, and for the rectangular case we show that no zero modes can exist.
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Realization of the exactly solvable Kitaev honeycomb lattice model in a spin-rotation-invariant system
Citation Wang, Fa. " Realization of the exactly solvable Kitaev honeycomb lattice model in a spin-rotation-invariant system. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story...
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