Simulation of the 2D Hubbard model, defermionized

by Mr Giovanni Cataldi (University of Padova), Dr Pietro Silvi (ITP Innsbruck University & IQOQI Innsbruck)

Monday 12 Apr 2021, 15:00 → 16:00 Europe/Rome

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Abstract:

The Hubbard model is arguably the simplest lattice model of interacting fermions, yet many of its intricacies still elude us in two and higher spatial dimensions. Here we present a work-in-progress of tensor network simulations for the Hubbard model on a 2D square lattice. We introduce a novel technique to remove fermionic matter, and employ it to treat the problem with a regular (non-fermionic) tree tensor network. We discuss details of the mapping, technical points of the simulation, and the numerical results we have acquired so far.

zoom link: https://unipd.zoom.us/j/367589168