# Tensor renormalization of quantum lattice models

Tao Xiang, Laboratory of Condensed Matter Theory and Materials Computation, Beijing, China

29.04.2015 at 12:00

In this talk, I will give a brief introduction to the tensor renormalization group and discuss its application in the two or three dimensional quantum lattice models. Emphasis will be given to the coarse graining tensor renormalization using the higher-order singular value decomposition (HOTRG) and the projected entangled simplex representation for the ground state wave function of quantum lattice models. The HOTRG provides an accurate but low computational cost technique for studying both classical and quantum lattice models in two or three dimensions.

I will demonstrate this method using the Ising model on the cubic lattices. The projected entangled simplex state, on the other hand, provides a good representation of tensor network states for highly frustrated quantum lattice models. By applying it to the Heisenberg model on the Kagome lattice, we obtain accurate results for the ground state energy.

A 450 - Theresienstr. 37