2024/06/15 by Sumiran Pujari, Pujari, Sumiran
Computer Science · Materials Science · #FOS: Physical sciences #Magnetic Properties of Alloys #Magnetism in coordination complexes #Matrix Theory and Algorithms #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2406.10669
openalex publication_date 2024/06/15 · openalex created_date 2024/06/19 · openalex updated_date 2026/07/28
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.