We have applied point-contact spectroscopy(PCS) to investigate the nonmagnetic hidden order(HO) state of the skutterudite compound PrFe_(4)P_(12) with its transition temperature THO~6.5 K. Its point-contact conductanc...We have applied point-contact spectroscopy(PCS) to investigate the nonmagnetic hidden order(HO) state of the skutterudite compound PrFe_(4)P_(12) with its transition temperature THO~6.5 K. Its point-contact conductance curves exhibit a reproducible gap structure in the HO state below THOand its temperature dependent gap magnitude follows a BCS-like mean-field behavior.A Fano-like conductance shape is observed to emerge below the coherence temperature of PrFe_(4)P_(12). In a magnetic field, the gap feature is gradually suppressed and evolves into a pronounced Fano peak, signaling the heavy fermion state and vividly demonstrating the competition between HO and the formation of heavy fermion states. Our results strongly suggest the itinerant characteristic of f electrons in PrFe_(4)P_(12), which constrains theoretical models to explain the HO mechanism.展开更多
As an important research branch,memristor has attracted a range of scholars to study the property of memristive chaotic systems.Additionally,time⁃delayed systems are considered a significant and newly⁃developing field...As an important research branch,memristor has attracted a range of scholars to study the property of memristive chaotic systems.Additionally,time⁃delayed systems are considered a significant and newly⁃developing field in modern research.By combining memristor and time⁃delay,a delayed memristive differential system with fractional order is proposed in this paper,which can generate hidden attractors.First,we discussed the dynamics of the proposed system where the parameter was set as the bifurcation parameter,and showed that with the increase of the parameter,the system generated rich chaotic phenomena such as bifurcation,chaos,and hypherchaos.Then we derived adequate and appropriate stability criteria to guarantee the system to achieve synchronization.Lastly,examples were provided to analyze and confirm the influence of parameter a,fractional order q,and time delayτon chaos synchronization.The simulation results confirm that the chaotic synchronization is affected by a,q andτ.展开更多
基金supported by National Key R&D Program of China(Grant Nos.2017YFA0303101,and 2016FYA0300402)the National Natural Science Foundation of China(Grant Nos.12174333,and 11674279)+3 种基金the support by the National Natural Science Foundation of China(Grant No.11474060)Shanghai Municipal Science and Technology(Grant Nos.2019SHZDZX01,and 20ZR1405300)support from the Zhejiang Provincial Natural Science Foundation of China(Grant No.LR18A04001)the Key R&D Program of Zhejiang Province,China(Grant No.2021C01002)。
文摘We have applied point-contact spectroscopy(PCS) to investigate the nonmagnetic hidden order(HO) state of the skutterudite compound PrFe_(4)P_(12) with its transition temperature THO~6.5 K. Its point-contact conductance curves exhibit a reproducible gap structure in the HO state below THOand its temperature dependent gap magnitude follows a BCS-like mean-field behavior.A Fano-like conductance shape is observed to emerge below the coherence temperature of PrFe_(4)P_(12). In a magnetic field, the gap feature is gradually suppressed and evolves into a pronounced Fano peak, signaling the heavy fermion state and vividly demonstrating the competition between HO and the formation of heavy fermion states. Our results strongly suggest the itinerant characteristic of f electrons in PrFe_(4)P_(12), which constrains theoretical models to explain the HO mechanism.
基金Sponsored by the National Natural Science Foundation of China(Grant No.61201227)the Funding of China Scholarship Council,the Natural Science the Foundation of Anhui Province(Grant No.1208085M F93)the 211 Innovation Team of Anhui University(Grant Nos.KJTD007A and KJTD001B)
文摘As an important research branch,memristor has attracted a range of scholars to study the property of memristive chaotic systems.Additionally,time⁃delayed systems are considered a significant and newly⁃developing field in modern research.By combining memristor and time⁃delay,a delayed memristive differential system with fractional order is proposed in this paper,which can generate hidden attractors.First,we discussed the dynamics of the proposed system where the parameter was set as the bifurcation parameter,and showed that with the increase of the parameter,the system generated rich chaotic phenomena such as bifurcation,chaos,and hypherchaos.Then we derived adequate and appropriate stability criteria to guarantee the system to achieve synchronization.Lastly,examples were provided to analyze and confirm the influence of parameter a,fractional order q,and time delayτon chaos synchronization.The simulation results confirm that the chaotic synchronization is affected by a,q andτ.
