6 papers
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 a C*-Diagonal Generated by the Toric Code
Danilo Polo Ojito, Emil Prodan
We study the abelian sub-C*-algebra of the CAR algebra generated by the start and face opertors of Kitaev's toric code. We show that it is a C*-diagonal equivalent to the canonical…
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…
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…
On the K-theory of magnetic algebras: Iwatsuka case
Giuseppe De Nittis, Jaime Gomez, Danilo Polo Ojito
In the tight-binding approximation, an Iwatsuka magnetic field is modeled by a function on with constant, but distinct values in the two parts of the lattice separat…
Interface currents and corner states in magnetic quarter-plane systems
Danilo Polo Ojito
We study the propagation of currents along the interface of two - magnetic systems, where one of them occupies the first quadrant of the plane. By considering the tight-bindi…