It has been widely accepted that silicene is a topological insulator, and its gap closes first and then opens again with increasing electric field, which indicates a topological phase transition from the quantum spin ...It has been widely accepted that silicene is a topological insulator, and its gap closes first and then opens again with increasing electric field, which indicates a topological phase transition from the quantum spin Hall state to the band insulator state. However, due to the relatively large atomic spacing of silicene, which reduces the bandwidth, the electron–electron interaction in this system is considerably strong and cannot be ignored. The Hubbard interaction, intrinsic spin orbital coupling(SOC), and electric field are taken into consideration in our tight-binding model, with which the phase diagram of silicene is carefully investigated on the mean field level. We have found that when the magnitudes of the two mass terms produced by the Hubbard interaction and electric potential are close to each other, the intrinsic SOC flips the sign of the mass term at either K or K for one spin and leads to the emergence of the spin-polarized quantum anomalous Hall state.展开更多
基金supported by the National Key Basic Research Program of China(Grant Nos.2014CB920903,2013CB921903,2011CBA00108,and 2012CB937500)the National Natural Science Foundation of China(Grant Nos.11021262,11172303,11404022,11225418,and 11174337)+2 种基金the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20121101110046)the Excellent Young Scholars Research Fund of Beijing Institute of Technology(Grant No.2014CX04028)the Basic Research Funds of Beijing Institute of Technology(Grant No.20141842001)
文摘It has been widely accepted that silicene is a topological insulator, and its gap closes first and then opens again with increasing electric field, which indicates a topological phase transition from the quantum spin Hall state to the band insulator state. However, due to the relatively large atomic spacing of silicene, which reduces the bandwidth, the electron–electron interaction in this system is considerably strong and cannot be ignored. The Hubbard interaction, intrinsic spin orbital coupling(SOC), and electric field are taken into consideration in our tight-binding model, with which the phase diagram of silicene is carefully investigated on the mean field level. We have found that when the magnitudes of the two mass terms produced by the Hubbard interaction and electric potential are close to each other, the intrinsic SOC flips the sign of the mass term at either K or K for one spin and leads to the emergence of the spin-polarized quantum anomalous Hall state.
基金supported by the National Natural Science Foundation of China(11734003,62275016,12274029,and 92163206)the National Key Research and Development Program of China(2020YFA0308800)+1 种基金Beijing Natural Science Foundation(Z210006 and Z190006)the Strategic Priority Research Program of Chinese Academy of Sciences(XDB30000000)。
