Effective one-dimensional models from matrix product states

Frederik Keim () and Götz Uhrig

The European Physical Journal B: Condensed Matter and Complex Systems, 2015, vol. 88, issue 6, 1-17

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

Keywords: Solid State and Materials (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1140/epjb/e2015-60188-0

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