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math-ph2025
The role of self-adjoint extensions in the bulk-edge correspondence
Johannes Kellendonk, Tom Stoiber
We investigate the role of self-adjoint extensions in the bulk-edge correspondence for topological insulators. While the correspondence is well understood in discrete models with s…
math-ph2025
On Frustration-Free Quantum Spin Models
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
The goal of our work is to characterize the landscape of the frustration-free quantum spin models over the Cayley graph of a finitely generated group G. This is achieved by establi…
math-ph2025
Invariant measures on the transversal hull of cone semigroups and some applications
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
Let $\LL_{\bf v}\subset \Z^D$ be a suitable cone semigroup and $\A_{\bf v}$ its reduced semigroup -algebra. In this paper, we compute the $\LL_{\bf v}$-invariant measures in t…