Year: 2023
Type: article
Abstract: We investigate the ground state of the spin $S=\frac{1}{2}$ Heisenberg antiferromagnet on the shuriken lattice, also in the presence of an external magnetic field. To this end, we employ two-dimensional tensor network techniques based on infinite projected entangled pair and simplex states considering states with different sizes of the unit cells. We show that a valence bond crystal with resonances over length six loops emerges as the ground state (at any given finite bond dimension) yielding the lowest reported estimate of the ground state energy ${E}_{0}/J=\ensuremath{-}0.4410\ifmmode\pm\else\textpm\fi{}0.0001$ for this model, estimated in the thermodynamic limit. We also study the model in the presence of an external magnetic field and find the emergence of 0, $\frac{1}{3}$, and $\frac{2}{3}$ magnetization plateaus. The $\frac{1}{3}$ and $\frac{2}{3}$ plateau states respect translation and point group symmetries and feature loop-four plaquette resonances.
Language: Latvian
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: National Science Foundation, Simons Foundation, International Centre for Theoretical Sciences, Department of Science and Technology, Ministry of Science and Technology, India, Deutsche Forschungsgemeinschaft, Abdus Salam International Centre for Theoretical Physics, Indo-French Centre for the Promotion of Advanced Research, Bundesministerium für Bildung und Forschung, Indian Institute of Technology Madras, Freie Universität Berlin
OpenAlex ID: W4319347077