Bond Algebras and Exact Solvability of Hamiltonians: Spin S=1/2 Multilayer Systems and Other Curiosities
classification
❄️ cond-mat.mes-hall
cond-mat.stat-mech
keywords
modelbondhamiltoniansalgebraalgebraicalgebrasappliedclifford
pith:INLDBM66 Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{INLDBM66}
Prints a linked pith:INLDBM66 badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We introduce an algebraic methodology for designing exactly-solvable Lie model Hamiltonians. The idea consists in looking at the algebra generated by bond operators. We illustrate how this method can be applied to solve numerous problems of current interest in the context of topological quantum order. These include Kitaev's toric code and honeycomb models, a vector exchange model, and a Clifford gamma model on a triangular lattice.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.