Abstract
We apply the higher order tensor renormalization group to two and three dimensional lattice fermion systems. To deal with tensor networks including Grassmann variables, we introduce Grassmann higher order tensor renormalization group (GHOTRG). Thanks to its deterministic property, GHOTRG is perfectly free of the sign problem. To test the validity of the new algorithm, we analyze well-known systems such as the Thirring model using GHOTRG.
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