Higher-order tensor renormalization group for relativistic fermion systems

Abstract

We apply the higher-order tensor renormalization group to two- and three-dimensional relativistic fermion systems on the lattice. In order to perform a coarse-graining of tensor networks including Grassmann variables, we introduce the Grassmann higher-order tensor renormalization group. We test the validity of the new algorithm by comparing its results with those of exact or previous methods.