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majorana modes in solid state systems and its dynamics

Frontiers of physics 2018年第2期13卷 103-109页

作者： Qi Zhang Biao Wu College of Science Zhejiang University of Technology Hangzhou 310014 China International Center for Quantum Materials School of Physics Peking University Beijing 100871 China Collaborative Innovation Center of Quantum Matter Beijing 100871 China Wilczek Quantum Center School of Physics and Astronomy Shanghai Jiao Tong University Shanghai 200240 China

We review the properties of majorana fermions in particle physics and point out that majorana modes in solid state systems are significantly different. The key reason is the concept of anti-particle in solid state systems is different from its counterpart in particle physics. We define majorana modes as the eigenstates of majorana operators and find that they can exist both at edges and in the bulk. According to our definition, only one single majorana mode can exist in a system no matter at edges or in the bulk. Kitaev＇s spinless p-wave superconductor is used to illustrate our results and the dynamical behavior of the majorana modes.

关键词： majorana mode majorana operator anti-particle Kitaev's model dynamical behavior

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Impurity- and magnetic-field-induced quasiparticle states in chiral p-wave superconductors

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Frontiers of physics 2017年第5期12卷 63-70页

作者： Yao-Wu Guo Wei Li Yan Chen Department of Physics and State Key Laboratory of Surface Physics Fudan University Shanghai 200333 China State Key Laboratory of Functional Materials for Inforrnatics and Shanghai Center for Superconductivity Shanghai Institute of Microsystem and Information Technology Chinese Academy of Sciences Shanghai 200050 China CAS Center for Excellence in Superconducting Electronics Shanghai 200050 China Collaborative Innovation Center of Advanced Microstructures Nanjing 210093 China

Both impurity- and magnetic-field-induced quasiparticle states in chiral p-wave superconductors are investigated theoretically by solving the Bogoliubov-de Gennes equations self-consistently. At the strong scattering limit, we find that a universal state bound to the impurity can be induced for both a single nonmagnetic impurity and a single magnetic impurity. Furthermore, we find that different chiral order parameters and the corresponding supercurrents have uniform distributions around linear impurities. Calculations of the local density of states in the presence of an external magnetic field show that the intensity peak of the zero-energy majorana mode in the vortex core can be enhanced dramatically by tuning the strength of the external magnetic field or pairing interaction.

关键词： nonmagnetic/magnetic impurity chiral p-wave superconductor vortex state majorana mode

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