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arXiv · 1502.00066

Rokhsar-Kivelson Models of Bosonic Symmetry-Protected Topological States

Luiz H. Santos
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Abstract

A platform for constructing microscopic Hamiltonians describing bosonic symmetry-protected topological (SPT) states is presented. The Hamiltonians we consider are examples of frustration-free Rokhsar-Kivelson models, which are known to be in one-to-one correspondence with classical stochastic systems in the same spatial dimensionality. By exploring this classical-quantum mapping, we are able to construct a large class of microscopic models which, in a closed manifold, have a non-degenerate gapped symmetric ground state describing the universal properties of SPT states. Examples of one and two dimensional SPT states which illustrate our approach are discussed.

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Luiz H. Santos. 2015-04-29. Rokhsar-Kivelson Models of Bosonic Symmetry-Protected Topological States. https://doi.org/10.1103/physrevb.91.155150

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