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Effective one-dimensional models from matrix product states

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  • Frederik Keim
  • Götz Uhrig

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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Frederik Keim & Götz Uhrig, 2015. "Effective one-dimensional models from matrix product states," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(6), pages 1-17, June.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:6:p:1-17:10.1140/epjb/e2015-60188-0
    DOI: 10.1140/epjb/e2015-60188-0
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    Solid State and Materials;

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