Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session D08: Advances in Computational Techniques for Strongly Correlated Systems
3:00 PM–5:48 PM,
Monday, March 4, 2024
Room: L100I
Sponsoring
Unit:
DCMP
Chair: Philip Dee, University of Tennessee
Abstract: D08.00002 : 2D MPS-DMRG: Quantum dimer model on a two-dimensional quasicrystal*
3:12 PM–3:24 PM
Presenter:
Shobhna Singh
(Cardiff University)
Author:
Shobhna Singh
(Cardiff University)
We successfully apply MPS-DMRG to quantum dimer model on large 2D systems, approximating the thermodynamic limit. The method is made tractable by placing the models on a modification of the Ammann Beenker tiling. Bearing the symmetries of a physical quasicrystal, the tiling features long-range order without periodicity. The dimer models combine with these symmetries so as to admit degrees of freedom similar to those in 1D ladders. We present an overview of ordered phases, phase transitions, entanglement entropy, and onsite and long-range correlations.
This work is with Felix Flicker and Natalia Chepiga.
*Funding organisation : Engineering and Physical Sciences Research Council (EPSRC) ; UK Research and Innovation(UKRI)
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