A Class of Exactly Solvable Hamiltonians for S=1/2 Quantum Magnets with Spinless Fermionic Excitations in Higher Dimensions
Abstract
This contribution summarizes the main results of a work on exactly solvable Hamiltonians for quantum magnets. A class of Hamiltonians which supports fractionalized spinless fermionic excitations in dimensions greater than one is written down. A well-known one-dimensional example is that of S=1/2 spin chains with Luttinger liquid physics and spinless fermionic excitations that are also called spinons. A well-known two-dimensional example is that of Kitaev's S=1/2 honeycomb model with bond-dependent magnetic couplings which supports Majorana fermionic excitations. The class of models to be discussed here also exploits bond-dependent couplings in a different way to non-perturbatively stabilize spinless fermionic spinons and also Majorana fermions. A more detailed account of these results is being prepared for publication elsewhere.
Keywords
Cite
@article{arxiv.2406.10669,
title = {A Class of Exactly Solvable Hamiltonians for S=1/2 Quantum Magnets with Spinless Fermionic Excitations in Higher Dimensions},
author = {Sumiran Pujari},
journal= {arXiv preprint arXiv:2406.10669},
year = {2024}
}
Comments
5 pages, 1 figure. Part of the proceedings of 67th DAE Solid State Physics Symposium of the BARC, India. The tentative title for the planned publication is "A solvable embedding mechanism for one-dimensional spinless fermions liquids and solids in higher-dimensional spin-1/2 magnets". First appeared publicly at https://tinyurl.com/5umc4dzx Supporting data available at https://tinyurl.com/47jfku9d