6 papers · 1 filter
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…
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…
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…
Topological Dynamics of Synthetic Molecules
Yuming Zhu, Emil Prodan
We study the dynamics of synthetic molecules whose architectures are generated by space transformations from a point group acting on seed resonators. We show that the dynamical mat…
C*-framework for higher-order bulk-boundary correspondences
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
A typical crystal is a finite piece of a material which may be invariant under some point symmetry group. If it is a so-called intrinsic higher-order topological insulator or super…
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…