2 citations · 4 across the 8 of their papers we have counts for
9 papers
(Sharp arithmetic) localization beyond transversality
Svetlana Jitomirskaya, Netanel Levi, Tom Stoiber
We prove sharp arithmetic localization for one-dimensional quasiperiodic potentials with jump discontinuities, beyond uniform transversality. Our results include every non-constant…
Kubo Formulas and Bulk-Edge Correspondence for Curved Boundaries
Aren Martinian, Tom Stoiber
Strong topological insulators are classified by integer invariants which admit different real-space expressions. Inspired by recent work studying these invariants for spaces with c…
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…
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…
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…
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…
A spectral localizer approach to strong topological invariants in the mobility gap regime
Tom Stoiber
Topological phases of gapped one-particle Hamiltonians with (anti)-unitary symmetries are classified by strong topological invariants according to the Altland-Zirnbauer table. Thos…
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…
Topological Spectral Bands with Frieze Groups
Fabian R. Lux, Tom Stoiber, Shaoyun Wang +2
Frieze groups are discrete subgroups of the full group of isometries of a flat strip. We investigate here the dynamics of specific architected materials generated by acting with a…