%0 Journal Article %1 chen2023hyperbolic %A Chen, Anffany %A Brand, Hauke %A Helbig, Tobias %A Hofmann, Tobias %A Imhof, Stefan %A Fritzsche, Alexander %A Kießling, Tobias %A Stegmaier, Alexander %A Upreti, Lavi K. %A Neupert, Titus %A Bzdušek, Tomáš %A Greiter, Martin %A Thomale, Ronny %A Boettcher, Igor %D 2023 %J Nat. Commun. %K c %N 622 %P 622 %R 10.1038/s41467-023-36359-6 %T Hyperbolic matter in electrical circuits with tunable complex phases %U https://www.nature.com/articles/s41467-023-36359-6 %V 14 %X Curved spaces play a fundamental role in many areas of modern physics, from cosmological length scales to subatomic structures related to quantum information and quantum gravity. In tabletop experiments, negatively curved spaces can be simulated with hyperbolic lattices. Here we introduce and experimentally realize hyperbolic matter as a paradigm for topological states through topolectrical circuit networks relying on a complex-phase circuit element. The experiment is based on hyperbolic band theory that we confirm here in an unprecedented numerical survey of finite hyperbolic lattices. We implement hyperbolic graphene as an example of topologically nontrivial hyperbolic matter. Our work sets the stage to realize more complex forms of hyperbolic matter to challenge our established theories of physics in curved space, while the tunable complex-phase element developed here can be a key ingredient for future experimental simulation of various Hamiltonians with topological ground states.

@article{chen2023hyperbolic, abstract = {Curved spaces play a fundamental role in many areas of modern physics, from cosmological length scales to subatomic structures related to quantum information and quantum gravity. In tabletop experiments, negatively curved spaces can be simulated with hyperbolic lattices. Here we introduce and experimentally realize hyperbolic matter as a paradigm for topological states through topolectrical circuit networks relying on a complex-phase circuit element. The experiment is based on hyperbolic band theory that we confirm here in an unprecedented numerical survey of finite hyperbolic lattices. We implement hyperbolic graphene as an example of topologically nontrivial hyperbolic matter. Our work sets the stage to realize more complex forms of hyperbolic matter to challenge our established theories of physics in curved space, while the tunable complex-phase element developed here can be a key ingredient for future experimental simulation of various Hamiltonians with topological ground states.}, added-at = {2023-07-03T11:55:18.000+0200}, author = {Chen, Anffany and Brand, Hauke and Helbig, Tobias and Hofmann, Tobias and Imhof, Stefan and Fritzsche, Alexander and Kießling, Tobias and Stegmaier, Alexander and Upreti, Lavi K. and Neupert, Titus and Bzdušek, Tomáš and Greiter, Martin and Thomale, Ronny and Boettcher, Igor}, biburl = {https://www.bibsonomy.org/bibtex/249e31ca01c1174cd7edfd60967309b1d/ctqmat}, day = 04, description = {Hyperbolic matter in electrical circuits with tunable complex phases}, doi = {10.1038/s41467-023-36359-6}, interhash = {fcf8495378350c55806e0f1430160e85}, intrahash = {49e31ca01c1174cd7edfd60967309b1d}, issn = {20411723}, journal = {Nat. Commun.}, keywords = {c}, month = {02}, number = 622, pages = 622, refid = {Chen2023}, timestamp = {2023-12-22T11:43:51.000+0100}, title = {Hyperbolic matter in electrical circuits with tunable complex phases}, url = {https://www.nature.com/articles/s41467-023-36359-6}, volume = 14, year = 2023 }