Condensed-Matter Physics & Materials Science Seminar

"SU(N) symmetric tensor network simulations of strongly correlated quantum many-body systems"

Presented by Andreas Weichselbaum, Ludwig Maximilians University

Tuesday, March 22, 2016, 1:30 pm — Small Seminar Room, Bldg. 510

Tensor network simulations have emerged as a powerful algebraic framework for the simulation of strongly correlated quantum many-body systems. Their great appeal lies in the fact that they are exact in that they do no rely on small parameters.
They significantly extend exact diagonalization to much larger system sizes in (effective) 1D or 2D all the way to the thermodynamic limit. I will give a brief introduction based on the hugely successful methods such as the numerical renormalization group (NRG) or the density matrix renormalization group (DMRG) with focus on multi-orbital systems, both symmetric and non-symmetric. A versatile numerical tool in that respect is my recently developed tensor library QSpace that can efficiently deal with generic symmetry settings including SU(N).
After a brief motivation via the prototypical symmetric multi-orbital system of iron impurities in gold or silver, I will present recent results on a dynamical mean-field theory
(DMFT) study concerning the coherent-incoherent crossover in iron-pnictides, followed by recent work on the spin-1 Heisenberg kagome lattice and preliminary results on SU(N) spin ladders.

Hosted by: Alexei Tsvelik

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