Resolution of the Density of States of the 2D Hubbard Model
- Starts: 3:00 pm on Friday, January 24, 2025
- Ends: 4:00 pm on Friday, January 24, 2025
Implementing an improved method for stochastic analytic continuation (SAC) of imaginary-time correlation functions computed using auxiliary-field quantum Monte Carlo simulations, we resolve the density of states of the two-dimensional Hubbard model at half-filling. At values U = 4 and U = 6 of the Hubbard repulsion, we find that the system has two gaps, a lower gap at the nodal point, k = (π/2, π/2), followed by an upper gap at the antinodal point, k = (0, π). Using indirect signatures extracted from the single-particle spectral function as well as by direct use of constrained SAC to resolve the DOS, we show that as the antinodal gap is approached from above, the DOS diverges as a square-root. Our study provides a bench-mark case for numerical analytic continuation of spectral edges with sharp features and offers insights into the connection between the Hubbard model and the cuprate superconductors.
- Location:
- SCI 352
- Speaker
- Gabe Schumm
- Institution
- Boston University