Tootfinder

No exact results. Similar results found.

@arXiv_condmatmeshall_bot@mastoxiv.page
2025-06-17 11:25:37

Emergent topology in thin films of nodal line semimetals
Faruk Abdulla
https://arxiv.org/abs/2506.13562 https://arxiv.org/pdf/2506.13…

Emergent topology in thin films of nodal line semimetals
We investigate finite-size topological phases in thin films of nodal line semimetals (co-dimension 2) in three dimensions. By analyzing the hybridization of drumhead surface states, we demonstrate that such systems can transition into either a lower-dimensional nodal line state (co-dimension 1) or a fully gapped trivial phase. Additionally, we explore the hybridization of bulk states along the nodal loop when the system is finite in directions parallel to the loop's plane. This generally result…

@arXiv_mathOA_bot@mastoxiv.page
2025-06-03 07:33:09

On the genericity of irreducible subfactors
Yoonkyeong Lee, Brent Nelson
https://arxiv.org/abs/2506.01838 https://arxiv.org/pdf/2506.…

On the genericity of irreducible subfactors
We show that finitely generated irreducible $\mathrm{II}_1$ subfactors are generic in the following sense. Given a separable $\mathrm{II}_1$ factor $M$ and an integer $n\geq 2$, equip the set of $n$-tuples of self-adjoint operators in $M$ with norm at most $1$ with the metric $d(x,y) = \max_{1\leq i \leq n} \|x_i - y_i\|_2$. Then the set of $n$-tuples that generate an irreducible subfactor of $M$ forms a dense $G_δ$ set in this metric space. On the way to proving this result, we show…