We study the possibility to realize a Majorana zero mode that is robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work.To achieve this we first app...We study the possibility to realize a Majorana zero mode that is robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work.To achieve this we first apply a uniform[111]magnetic field to the gapless Kitaev model and turn the Kitaev model to an effective p+ip topological superconductor of spinons.We then study possible vortex binding in such system to a topologically trivial spot in the ground state.We consider two cases in the system:one is a vacancy and the other is a fully polarized spin.We show that in both cases,the system binds a vortex with the defect and a robust Majorana zero mode in the ground state at a weak uniform[111]magnetic field.The distribution and asymptotic behavior of these Majorana zero modes are studied.The Majorana zero modes in both cases decay exponentially in space,and are robust against local perturbations and other Majorana zero modes far away,which makes them promising candidates for braiding in topological quantum computing.展开更多
In this study a series of chemically crosslinked chitosan/poly(ethylene glycol) (CS/PEG) composite membranes were prepared with PEG as a crosslinking reagent other than an additional blend. First, carboxyl-eapped ...In this study a series of chemically crosslinked chitosan/poly(ethylene glycol) (CS/PEG) composite membranes were prepared with PEG as a crosslinking reagent other than an additional blend. First, carboxyl-eapped poly(ethylene glycol) (HOOC-PEG-COOH) was synthesized. Dense CS/PEG composite membranes were then prepared by casting/evaporation of CS and HOOC-PEG-COOH mixture in acetic acid solution. Chitosan was chemically crosslinked due to the amidation between the carboxyl in HOOC-PEG-COOH and the amino in chitosan under heating, as confirmed by FTIR analysis. The hydrophilicity, water-resistance and mechanical properties of pure and crosslinked chitosan membranes were characterized, respectively. The results of water contact angle and water absorption showed that the hydrophilicity of chitosan membranes could be significantly improved, while no significant difference of weight loss between pure chitosan membranes and crosslinked ones was detected, indicating that composite membranes with amidation crosslinking possess excellent water resistanance ability. Moreover, the tensile strength of chitosan membranes could be significantly enhanced with the addition of certain amount of HOOC-PEG-COOH crosslinker, while the elongation at break didn't degrade at the same time. Additionally, the results of swelling behaviors in water at different pH suggested that the composite membranes were pH sensitive.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11974166 and 11574134).
文摘We study the possibility to realize a Majorana zero mode that is robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work.To achieve this we first apply a uniform[111]magnetic field to the gapless Kitaev model and turn the Kitaev model to an effective p+ip topological superconductor of spinons.We then study possible vortex binding in such system to a topologically trivial spot in the ground state.We consider two cases in the system:one is a vacancy and the other is a fully polarized spin.We show that in both cases,the system binds a vortex with the defect and a robust Majorana zero mode in the ground state at a weak uniform[111]magnetic field.The distribution and asymptotic behavior of these Majorana zero modes are studied.The Majorana zero modes in both cases decay exponentially in space,and are robust against local perturbations and other Majorana zero modes far away,which makes them promising candidates for braiding in topological quantum computing.
基金financially supported by the National Natural Science Foundation of China(Nos.51073103,51273125 and 30800223)S&T Pillar Program of Sichuan Province,China(No.2011GZ0109)
文摘In this study a series of chemically crosslinked chitosan/poly(ethylene glycol) (CS/PEG) composite membranes were prepared with PEG as a crosslinking reagent other than an additional blend. First, carboxyl-eapped poly(ethylene glycol) (HOOC-PEG-COOH) was synthesized. Dense CS/PEG composite membranes were then prepared by casting/evaporation of CS and HOOC-PEG-COOH mixture in acetic acid solution. Chitosan was chemically crosslinked due to the amidation between the carboxyl in HOOC-PEG-COOH and the amino in chitosan under heating, as confirmed by FTIR analysis. The hydrophilicity, water-resistance and mechanical properties of pure and crosslinked chitosan membranes were characterized, respectively. The results of water contact angle and water absorption showed that the hydrophilicity of chitosan membranes could be significantly improved, while no significant difference of weight loss between pure chitosan membranes and crosslinked ones was detected, indicating that composite membranes with amidation crosslinking possess excellent water resistanance ability. Moreover, the tensile strength of chitosan membranes could be significantly enhanced with the addition of certain amount of HOOC-PEG-COOH crosslinker, while the elongation at break didn't degrade at the same time. Additionally, the results of swelling behaviors in water at different pH suggested that the composite membranes were pH sensitive.