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A Class of Asymmetric Gapped Hamiltonians on Quantum Spin Chains and its Characterization I

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Abstract

We introduce a class of gapped Hamiltonians on quantum spin chains, which allows asymmetric edge ground states. This class is an asymmetric generalization of the class of Hamiltonians (Fannes et al. Commun Math Phys 144:443–490, 1992). It can be characterized by five qualitative physical properties of ground state structures. In this Part I, we introduce the models and investigate their properties.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo, 153-8914, Japan

    Yoshiko Ogata

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  1. Yoshiko Ogata
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Correspondence to Yoshiko Ogata.

Additional information

Communicated by R. Seiringer

Supported in part by the Grants-in-Aid for Scientific Research, JSPS.

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Ogata, Y. A Class of Asymmetric Gapped Hamiltonians on Quantum Spin Chains and its Characterization I. Commun. Math. Phys. 348, 847–895 (2016). https://doi.org/10.1007/s00220-016-2696-6

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  • DOI: https://doi.org/10.1007/s00220-016-2696-6

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