Steven White (UC Irvine)

Solving frustrated magnetic systems with the density matrix renormalization group

The density matrix renormalization group (DMRG) has become the standard approach for simulating strongly correlated electron systems in one dimension. Recent
progress has allowed DMRG to be used for two dimensional systems, most notably
in finding that the kagome lattice Heisenberg model has a spin liquid ground state. Recently, the matrix product wavefunctions produced by DMRG have been shown to be the simplest example of a wide class of tensor network states, all exploiting the

low entanglement of ground states. These connections to quantum information have led to a large variety of new algorithms. I will give an overview of some of the recent developments, both in our conceptual understanding of the algorithms and
in their application to frustrated 2D spin systems.