Zobrazeno 1 - 10
of 315
pro vyhledávání: '"Prodan, Emil"'
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 establish a rigorous relation between this approach and the operator-th
Externí odkaz:
http://arxiv.org/abs/2410.24097
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 superconductor then it displays boundary modes at hinges or corners protect
Externí odkaz:
http://arxiv.org/abs/2406.04226
Understanding the interaction of real- and reciprocal space topology in skyrmion crystals is an open problem. We approach it from the viewpoint of $C^\ast$-algebras and calculate all admissible Chern numbers of a strongly coupled tight-binding skyrmi
Externí odkaz:
http://arxiv.org/abs/2403.11912
Autor:
Mesland, Bram, Prodan, Emil
Publikováno v:
Journal of Geometry and Physics 196, 105059 (2024)
We consider synthetic materials consisting of self-coupled identical resonators carrying classical internal degrees of freedom. The architecture of such material is specified by the positions and orientations of the resonators. Our goal is to calcula
Externí odkaz:
http://arxiv.org/abs/2308.07866
Publikováno v:
EPL (2024)
Re-configurable materials and meta-materials can jump between space symmetry classes during their deformations. Here, we introduce the concept of singular symmetry enhancement, which refers to an abrupt jump to a higher symmetry class accompanied by
Externí odkaz:
http://arxiv.org/abs/2306.16401
Autor:
Lux, Fabian R., Prodan, Emil
Publikováno v:
Phys. Rev. Lett. 131, 176603 (2023)
Tessellations of the hyperbolic spaces by regular polygons are becoming popular because they support discrete quantum and classical models displaying unique spectral and topological characteristics. Resolving the true bulk spectra and the thermodynam
Externí odkaz:
http://arxiv.org/abs/2303.15611
Publikováno v:
Science advances 9, eadh4310, 2023
Topological pumping supplies a robust mechanism to steer waves across a sample without being affected by disorders and defects. For the first time, we demonstrate the pumping of elastic surface waves, achieved by a smart patterning of a surface that
Externí odkaz:
http://arxiv.org/abs/2303.04111
Autor:
Prodan, Emil
Publikováno v:
Proceedings of Symposia in Pure Mathematics 105, 397-433 (2023)
The pairings between the cyclic cohomologies and the K-theories of separable $C^\ast$-algebras supply topological invariants that often relate to physical response coefficients of materials. Using three numerical simulations, we exemplify how some of
Externí odkaz:
http://arxiv.org/abs/2212.13553