Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Lenggenhager, Patrick M."'
Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations, we extend K
Externí odkaz:
http://arxiv.org/abs/2407.09601
Autor:
Dey, Santanu, Chen, Anffany, Basteiro, Pablo, Fritzsche, Alexander, Greiter, Martin, Kaminski, Matthias, Lenggenhager, Patrick M., Meyer, Rene, Sorbello, Riccardo, Stegmaier, Alexander, Thomale, Ronny, Erdmenger, Johanna, Boettcher, Igor
Publikováno v:
Phys. Rev. Lett. 133, 061603 (2024)
We demonstrate how table-top settings combining hyperbolic lattices with nonlinear dynamics universally encode aspects of the bulk-boundary-correspondence between gravity in anti-de-Sitter (AdS) space and conformal field theory (CFT). Our concrete an
Externí odkaz:
http://arxiv.org/abs/2404.03062
Autor:
Tummuru, Tarun, Chen, Anffany, Lenggenhager, Patrick M., Neupert, Titus, Maciejko, Joseph, Bzdušek, Tomáš
Publikováno v:
Phys. Rev. Lett. 132, 206601 (2024)
We extend the notion of topologically protected semi-metallic band crossings to hyperbolic lattices in a negatively curved plane. Because of their distinct translation group structure, such lattices are associated with a high-dimensional reciprocal s
Externí odkaz:
http://arxiv.org/abs/2307.09876
Publikováno v:
Phys. Rev. Lett. 131, 226401 (2023)
Wave functions on periodic lattices are commonly described by Bloch band theory. Besides Abelian Bloch states labeled by a momentum vector, hyperbolic lattices support non-Abelian Bloch states that have so far eluded analytical treatments. By adaptin
Externí odkaz:
http://arxiv.org/abs/2305.04945
Autor:
Chen, Anffany, Guan, Yifei, Lenggenhager, Patrick M., Maciejko, Joseph, Boettcher, Igor, Bzdušek, Tomáš
Publikováno v:
Phys. Rev. B 108, 085114 (2023)
Particles hopping on a two-dimensional hyperbolic lattice feature unconventional energy spectra and wave functions that provide a largely uncharted platform for topological phases of matter beyond the Euclidean paradigm. Using real-space topological
Externí odkaz:
http://arxiv.org/abs/2304.03273
Autor:
Urwyler, David M., Lenggenhager, Patrick M., Boettcher, Igor, Thomale, Ronny, Neupert, Titus, Bzdušek, Tomáš
Publikováno v:
Phys. Rev. Lett. 129, 246402 (2022)
Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a new paradigm of synthetic matter, and their energy levels were characterized by a band structure in a four- (or higher-)dimensional momentum space. To explore
Externí odkaz:
http://arxiv.org/abs/2203.07292
Publikováno v:
Phys. Rev. B 106, 085128 (2022)
We analyze triply degenerate nodal points [or triple points (TPs) for short] in energy bands of crystalline solids. Specifically, we focus on spinless band structures, i.e., when spin-orbit coupling is negligible, and consider TPs formed along high-s
Externí odkaz:
http://arxiv.org/abs/2201.08404
Autor:
Lenggenhager, Patrick M., Stegmaier, Alexander, Upreti, Lavi K., Hofmann, Tobias, Helbig, Tobias, Vollhardt, Achim, Greiter, Martin, Lee, Ching Hua, Imhof, Stefan, Brand, Hauke, Kießling, Tobias, Boettcher, Igor, Neupert, Titus, Thomale, Ronny, Bzdušek, Tomáš
Publikováno v:
Nat. Commun. 13, 4373 (2022)
The Laplace operator encodes the behavior of physical systems at vastly different scales, describing heat flow, fluids, as well as electric, gravitational, and quantum fields. A key input for the Laplace equation is the curvature of space. Here we di
Externí odkaz:
http://arxiv.org/abs/2109.01148
Publikováno v:
Phys. Rev. B 106, 085129 (2022)
Triple nodal points are degeneracies of energy bands in momentum space at which three Hamiltonian eigenstates coalesce at a single eigenenergy. For spinless particles, the stability of a triple nodal point requires two ingredients: rotation symmetry
Externí odkaz:
http://arxiv.org/abs/2104.11254
Publikováno v:
Phys. Rev. B 103, 121101 (2021)
We study a class of topological materials which in their momentum-space band structure exhibit three-fold degeneracies known as triple points. Focusing specifically on $\mathcal{P}\mathcal{T}$-symmetric crystalline solids with negligible spin-orbit c
Externí odkaz:
http://arxiv.org/abs/2008.02807