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math-ph2026
The Full Set of KMS-States for Abelian Kitaev Models
Danilo Polo Ojito, Emil Prodan
We first prove that the subalgebra generated by the vertex and face operators of an abelian Kitaev model is a -diagonal of the UHF algebra of qu…
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 . This is achieved by estab…
math-ph2024
A space-adiabatic approach for bulk-defect correspondences in lattice models of topological insulators
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
In space-adiabatic approaches one can approximate Hamiltonians that are modulated slowly in space by phase-space functions that depend on position and momentum. In this paper, we e…