# Condensed-Matter Physics & Materials Science Seminar

## "Non-abelian symmetries and applications in tensor networks"

#### Presented by Andreas Weichselbaum, Brookhaven National Lab

Thursday, March 29, 2018, 1:30 pm — ISB Bldg. 734 Conf. Rm. 201 (upstairs)

I will give a brief introduction to tensor network states

with focus on exploiting all symmetries, abelian and non-abelian alike. I will briefly motivate a generic framework for finite-dimensional Lie algebras, which has been fully implemented in the tensor library QSpace [1]. The latter was already put under extensive scrutiny over the past couple of years. Along it already also gave rise to a range of excellent applications. Here, in particular, I will briefly highlight 1D density matrix renormalization group (DMRG) calculations on SU(N) Heisenberg ladders, 2D projected entangled pair state (PEPS) simulations on Spin-1 Kagome [2], and infinite-dimensional dynamical mean-field theory (DMFT) simulations on Hund's metals [3].

[1] A. Weichselbaum, Annals of Physics 327, 2972 (2012)

[2] Liu et al., PRB 91 (R), 060403(R) (2015)

[3] Stadler et al. PRL 115, 136401 (2015)

Hosted by: Igor Zaliznyak

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