Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N60: Quantum Many-Body Systems and Methods I
11:30 AM–2:18 PM,
Wednesday, March 6, 2024
Room: 207AB
Sponsoring
Unit:
DCOMP
Chair: Chong Sun, Rice University
Abstract: N60.00011 : Study of Hubbard model on triangular lattices using linearly scaling semi-classical methods*
1:30 PM–1:42 PM
Presenter:
Shreekant S Gawande
(University of Tennessee Knoxville)
Authors:
Shreekant S Gawande
(University of Tennessee Knoxville)
Benjamin Cohen-Stead
(University of Tennessee Knoxville)
Cristian D Batista
(University of Tennessee)
Kipton Barros
(Los Alamos National Lab)
Steven S Johnston
(University of Tennessee)
This study aims to assess the efficiency and accuracy of semi-classical methods in frustrated systems, specifically the Hubbard model on a triangular lattice. We utilize the Kernel Polynomial Method (KPM) for efficient Monte Carlo sampling of the auxiliary fields introduced during the Hubbard-Stratonovich transformation of the interaction terms. The KPM approach allows us to bypass the computationally expensive matrix diagonalization, resulting in a computational cost that scales linearly with the system size. This scalability enables us to explore large system sizes, providing valuable insights into the behavior of frustrated systems.
*This research was primarily supported by the National Science Foundation Materials Research Science and Engineering Center program through the UT Knoxville Center for Advanced Materials and Manufacturing (DMR-2309083).
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