The tensor renormalization group for pure and disordered two-dimensional lattice systems

Can Güven and Michael Hinczewski

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 15, 2915-2919

Abstract: The tensor renormalization group (TRG) is a powerful new approach for coarse-graining classical two-dimensional (2D) lattice Hamiltonians. It uses the intuitive framework of traditional position space renormalization group methods–analyzing flows in the space of Hamiltonian parameters–but can be systematically improved to yield thermodynamic properties at much higher precision. We present initial results demonstrating that the TRG can be generalized to quenched random systems, applying it to obtain the phase diagram of a bond-diluted triangular lattice Ising ferromagnet. This opens a variety of potential future applications, most prominently spin glasses.

Keywords: Renormalization group; Disorder (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:15:p:2915-2919

DOI: 10.1016/j.physa.2010.02.010

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