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Effective one-dimensional models from matrix product states

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Abstract

In this paper we present a method for deriving effective one-dimensional models based on the matrix product state formalism. It exploits translational invariance to work directly in the thermodynamic limit. We show, how a representation of the creation operator of single quasi-particles in both real and momentum space can be extracted from the dispersion calculation. The method is tested for the analytically solvable Ising model in a transverse magnetic field. Properties of the matrix product representation of the creation operator are discussed and validated by calculating the one-particle contribution to the spectral weight. Results are also given for the ground state energy and the dispersion.

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Authors and Affiliations

  1. Lehrstuhl für Theoretische Physik I, TU Dortmund, Otto-Hahn Straße 4, 44221, Dortmund, Germany

    Frederik Keim & Götz S. Uhrig

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  1. Frederik Keim
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  2. Götz S. Uhrig
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Correspondence to Frederik Keim.

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Keim, F., Uhrig, G.S. Effective one-dimensional models from matrix product states. Eur. Phys. J. B 88, 154 (2015). https://doi.org/10.1140/epjb/e2015-60188-0

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  • DOI: https://doi.org/10.1140/epjb/e2015-60188-0

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