26–30 Jun 2023
ECT*
Europe/Rome timezone

Learning about the Hubbard Model

26 Jun 2023, 11:30
25m
Aula Renzo Leonardi (ECT*)

Aula Renzo Leonardi

ECT*

Strada delle Tabarelle 286, I-38123 Villazzano (Trento)

Speaker

Evan Berkowitz (Forschungszentrum Jülich)

Description

The Hubbard model is a foundational model of condensed matter physics. Formulated on a honeycomb lattice it provides a crude model for graphene; on a square lattice it may model high-Tc superconductors. I will present first-principles numerical results characterizing the quantum phase transition of the Hubbard model on a honeycomb lattice between a Dirac semimetal to an antiferromagnetic Mott insulator, and then present some results away from half-filling, where the model develops a sign problem.

Phase transition:
2005.11112 Phys.Rev.B 102 (2020) 24, 245105
2105.06936 Phys.Rev.B 104 (2021) 15, 155142

Sign problem:
2006.11221 Phys.Rev.B 103 (2021) 12, 125153
2203.00390 Phys.Rev.B 106 (2022) 12, 125139

Primary author

Evan Berkowitz (Forschungszentrum Jülich)

Presentation materials