PIRSA:16120022

Tensor Network Algorithms for 2D Strongly Correlated Systems

Osorio, J. (2016). Tensor Network Algorithms for 2D Strongly Correlated Systems. Perimeter Institute. https://pirsa.org/16120022

Osorio, Juan. Tensor Network Algorithms for 2D Strongly Correlated Systems. Perimeter Institute, Dec. 14, 2016, https://pirsa.org/16120022 

          @misc{ pirsa_PIRSA:16120022,
            doi = {10.48660/16120022},
            url = {https://pirsa.org/16120022},
            author = {Osorio, Juan},
            keywords = {Other},
            language = {en},
            title = {Tensor Network Algorithms for 2D Strongly Correlated Systems},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {dec},
            note = {PIRSA:16120022 see, \url{https://pirsa.org}}
          }

Juan Osorio ETH Zurich

DOI 10.48660/16120022
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk I will give a short introduction into Projected Entangled-Pair States (PEPS), and their infinite variant iPEPS, a class of tensor network Ansatz targeted at the simulation of 2D strongly correlated systems. I will present work on two recent

projects: the first will be an application of the iPEPS algorithm to a Kitaev-Heisenberg model, a model which through-out recent years has received a lot of attention due to its potential connection to the physics of a subclass of the so-called Iridate compounds. The second will be work related to the development of the iPEPS method to specifically target cylindrical geometries. Here I will present some preliminary results where we apply the methods to the Heisenberg and Fermi-Hubbard models and evaluate their performance in comparison to infinite Matrix Product States. As a final part of my talk I will, depending on time, elaborate somewhat on potential future topics including (but not restricted to):  the main challenges of iPEPS simulations from a numerical perspective and what pre-steps we have experimented with to tackle these, the possibility of applying recent proposals for finite-temperature calculations within the PEPS framework to frustrated spin systems and the use of Tensor Network Renormalization for the study of RG flows.