The Hubbard model: insights from a computational proxy

QUEST Center event
No
Speaker
Dror Orgad - The Hebrew University of Jerusalem
Date
01/06/2023 - 13:30 - 12:30Add to Calendar 2023-06-01 12:30:00 2023-06-01 13:30:00 The Hubbard model: insights from a computational proxy The Hubbard model is to interacting quantum electronic systems as the Ising model is to classical statistical mechanics. Its apparent simplicity and widely believed relevance to the high-temperature superconductors have motivated an enormous amount of work over the past six decades. Still, much remains unknown. I will describe what is known with theoretical confidence about the phase diagram of the Hubbard model, both analytically and numerically. I will then present results from a determinant quantum Monte Carlo study of a related bilayer system that is free of the sign problem, and discuss the extent to which it may serve as a computational proxy to the Hubbard model.   Conference room on the 0th floor of Resnick building Department of Physics physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
Conference room on the 0th floor of Resnick building
Abstract

The Hubbard model is to interacting quantum electronic systems as the Ising model is to classical statistical mechanics. Its apparent simplicity and widely believed relevance to the high-temperature superconductors have motivated an enormous amount of work over the past six decades. Still, much remains unknown. I will describe what is known with theoretical confidence about the phase diagram of the Hubbard model, both analytically and numerically. I will then present results from a determinant quantum Monte Carlo study of a related bilayer system that is free of the sign problem, and discuss the extent to which it may serve as a computational proxy to the Hubbard model.  

Last Updated Date : 27/05/2023