Topological states realized in metamaterials have provided a versatile platform for exploring topological physics and enabling novel applications,with topolectrical circuits emerging as a prominent example.However,pre...Topological states realized in metamaterials have provided a versatile platform for exploring topological physics and enabling novel applications,with topolectrical circuits emerging as a prominent example.However,previous research in this feld has primarily focused on lumped-element implementations,while non-lumped microwave circuits remain relatively underexplored.In this work,we design and investigate a one-dimensional non-lumped Su–Schriefer–Heeger topolectrical circuit composed of copper parallel-plate transmission lines and inductors,ofering compatibility with integrated microwave applications.Full-wave microwave simulations in the 0–10 GHz range show excellent agreement with theoretical predictions.The impedance spectrum of a fveunit-cell system displays periodic resonant passbands and stopbands corresponding to bulk states,while distinct high-Q(on the order of 10^(2))topological boundary resonances(TBRs)emerge within the stopbands,indicating the presence of localized edge states.Furthermore,the TBRs vanish when the system is reconfgured into the trivial phase,providing direct evidence of its topological nature.These response characteristics make the proposed resonator a promising candidate for future microwave devices and topological circuit applications.展开更多
Non-Hermitian topological insulators have attracted considerable attention due to their distinctive energy band characteristics and promising applications.Here,we systematically investigate non-Hermitian Möbius i...Non-Hermitian topological insulators have attracted considerable attention due to their distinctive energy band characteristics and promising applications.Here,we systematically investigate non-Hermitian Möbius insulators and graphene-like topological semimetals from the projected symmetry and realize their corresponding topological phenomena in an electric circuit-based framework.By introducing a nonreciprocal hopping term consisting of negative impedance converters into a two-dimensional electric circuit,we establish an experimental platform that effectively demonstrates that introducing non-Hermitian terms significantly enhances the energy localization of topological edge states,which originate from the non-Hermitian skin effect.Furthermore,a thorough comparison of experimental measurements with numerical simulations validates the robustness and reliability of our electric circuit structure.This work not only reveals the physical properties of non-Hermitian topological materials but also provides valuable theoretical and experimental guidance for the implementation of topological circuits and the design of radiofrequency devices in the future.展开更多
Topological flat bands have attracted significant interest across various branches of physics,where synthetic gauge fields are typically considered an essential prerequisite.Numerous mechanisms have been proposed for ...Topological flat bands have attracted significant interest across various branches of physics,where synthetic gauge fields are typically considered an essential prerequisite.Numerous mechanisms have been proposed for implementing these fields,including magnetic fields on electrons,differential optical paths for photons,and strain-induced effective magnetic fields,among others.In this work,we introduce a novel approach to generating synthetic gauge fields through quantum statistics and demonstrate their effectiveness in realizing anyonic topological flat bands.Notably,we discover that a pair of strongly interacting anyons can induce square-root topological flat bands within a lattice model that remains dispersive and topologically trivial for a single particle.To validate our theoretical predictions,we experimentally simulate the quantum statistics-induced topological flat bands and square-root topological boundary states by mapping the eigenstates of two anyons onto modes in electric circuits.Our findings not only open a new pathway for creating topological flat bands but also deepen our understanding of anyonic physics and the underlying principles of flat-band topology.展开更多
We propose a resistors,inductors and capacitors(RLC)electrical circuit to theoretically analyze and fully simulate a new type of non-Hermitian Su-Schrieffer-Heeger(SSH)model with complex hoppings.We formulate its cons...We propose a resistors,inductors and capacitors(RLC)electrical circuit to theoretically analyze and fully simulate a new type of non-Hermitian Su-Schrieffer-Heeger(SSH)model with complex hoppings.We formulate its construction and investigate its properties by taking advantage of the circuit’s versatility.Rich physical properties can be identified in this system from the normal modes of oscillation of the RLC circuit,including the highly tunable bulk-edge correspondence between topological winding numbers and edge states and the non-Hermitian skin phenomenon originating from a novel complex energy plane topology.The present study is able to show the wide and appealing topological physics inherent to electric circuits,which is readily generalizable to a plenty of both Hermitian and non-Hermitian nontrivial systems.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11874431)the National Key R&D Program of China(Grant No.2018YFA0306800)。
文摘Topological states realized in metamaterials have provided a versatile platform for exploring topological physics and enabling novel applications,with topolectrical circuits emerging as a prominent example.However,previous research in this feld has primarily focused on lumped-element implementations,while non-lumped microwave circuits remain relatively underexplored.In this work,we design and investigate a one-dimensional non-lumped Su–Schriefer–Heeger topolectrical circuit composed of copper parallel-plate transmission lines and inductors,ofering compatibility with integrated microwave applications.Full-wave microwave simulations in the 0–10 GHz range show excellent agreement with theoretical predictions.The impedance spectrum of a fveunit-cell system displays periodic resonant passbands and stopbands corresponding to bulk states,while distinct high-Q(on the order of 10^(2))topological boundary resonances(TBRs)emerge within the stopbands,indicating the presence of localized edge states.Furthermore,the TBRs vanish when the system is reconfgured into the trivial phase,providing direct evidence of its topological nature.These response characteristics make the proposed resonator a promising candidate for future microwave devices and topological circuit applications.
基金supported by the Fundamental Research Funds for the Central Universities(No.2023ZDYQ11003)the China Postdoctoral Science Foundation(No.2023M743784)+2 种基金the State Key Laboratory of Millimeter Waves(No.K202407)the National Natural Science Foundation of China(No.12274315)the Postgraduate Innovation Program of China University of Mining and Technology(No.2024WLJCRCZL298).
文摘Non-Hermitian topological insulators have attracted considerable attention due to their distinctive energy band characteristics and promising applications.Here,we systematically investigate non-Hermitian Möbius insulators and graphene-like topological semimetals from the projected symmetry and realize their corresponding topological phenomena in an electric circuit-based framework.By introducing a nonreciprocal hopping term consisting of negative impedance converters into a two-dimensional electric circuit,we establish an experimental platform that effectively demonstrates that introducing non-Hermitian terms significantly enhances the energy localization of topological edge states,which originate from the non-Hermitian skin effect.Furthermore,a thorough comparison of experimental measurements with numerical simulations validates the robustness and reliability of our electric circuit structure.This work not only reveals the physical properties of non-Hermitian topological materials but also provides valuable theoretical and experimental guidance for the implementation of topological circuits and the design of radiofrequency devices in the future.
基金supported by the National Key R&D Program of China under Grant No.2022YFA1404900the National Natural Science Foundation of China under Grant No.12422411.
文摘Topological flat bands have attracted significant interest across various branches of physics,where synthetic gauge fields are typically considered an essential prerequisite.Numerous mechanisms have been proposed for implementing these fields,including magnetic fields on electrons,differential optical paths for photons,and strain-induced effective magnetic fields,among others.In this work,we introduce a novel approach to generating synthetic gauge fields through quantum statistics and demonstrate their effectiveness in realizing anyonic topological flat bands.Notably,we discover that a pair of strongly interacting anyons can induce square-root topological flat bands within a lattice model that remains dispersive and topologically trivial for a single particle.To validate our theoretical predictions,we experimentally simulate the quantum statistics-induced topological flat bands and square-root topological boundary states by mapping the eigenstates of two anyons onto modes in electric circuits.Our findings not only open a new pathway for creating topological flat bands but also deepen our understanding of anyonic physics and the underlying principles of flat-band topology.
基金partial support from the Universidad de Antioquia,Colombia under Initiative(Grant No.CODI ES84180154)Estrategia de sostenibilidad del Grupo de Física Atómica y Molecular,and Projects(Grant Nos.CODI 251594,and 2019-24770)+1 种基金the support from the Riken Special Postdoctoral Researcher Programthe Max Planck-UBC-UTokyo Center for Quantum Materials。
文摘We propose a resistors,inductors and capacitors(RLC)electrical circuit to theoretically analyze and fully simulate a new type of non-Hermitian Su-Schrieffer-Heeger(SSH)model with complex hoppings.We formulate its construction and investigate its properties by taking advantage of the circuit’s versatility.Rich physical properties can be identified in this system from the normal modes of oscillation of the RLC circuit,including the highly tunable bulk-edge correspondence between topological winding numbers and edge states and the non-Hermitian skin phenomenon originating from a novel complex energy plane topology.The present study is able to show the wide and appealing topological physics inherent to electric circuits,which is readily generalizable to a plenty of both Hermitian and non-Hermitian nontrivial systems.
