周本良,谭哲昊,曾荣芳

• 1:湖南师范大学物理系

摘要(Abstract)：

本文从理论上研究了在非共振圆偏振光照射下，黑磷薄膜的贝利曲率和轨道磁化强度。基于黑磷薄膜的k·p低能有效模型和弗洛凯理论，我们推导出了黑磷薄膜直至双光子二阶过程的有效哈密顿量。我们发现光场会使得体系的带隙略为增大，贝利曲率的绝对值会随着光照强度的增大而增大。轨道磁化强度在带隙内呈现出线性变化关系，其变化区域随着薄膜层数的增加而减小，而在价带和导带则呈现出“谷-峰”现象。随着光照强度的增大，轨道磁化强度也随之增大。这些研究为在黑磷薄膜中获得非零的贝利曲率提供了一种有效可行的方法，加深了对薄膜贝利曲率及轨道磁化强度的理解。

关键词(KeyWords)： 黑磷薄膜;弗洛凯理论;贝利曲率;轨道磁化强度

Abstract:

Keywords:

基金项目(Foundation): 湖南师范大学校级教改项目“基于应用型人才培养的大学物理实验教学改革研究”;湖南师范大学本科生创新创业计划项目(项目批准号：2023151)

作者(Author): 周本良,谭哲昊,曾荣芳

参考文献(References)：

• [1] BRIDGMAN P W.Two new modifications of phosphorus[J].Journal of the American Chemical Society,1914,36(7):1344-1363.
• [2] LI L,YU Y,YE G J,et al.Black phosphorus field-effect transistors[J].Nature nanotechnology,2014,9(5):372-377.
• [3] CASTRO N A H,GUINEA F,PERES N M R,et al.The electronic properties of graphene[J].Reviews of Modern Physics,2009,81(1):109.
• [4] MAK K F,LEE C,HONE J,et al.Atomically Thin MoS2:A New Direct-Gap Semiconductor[J].Physical Review Letters,2010,105(13):136805.
• [5] XIA F,WANG H,JIA Y.Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics[J].Nature Communications,2014,5(1):4458.
• [6] QIAO J,KONG X,HU Z X,et al.High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus[J].Nature Communications,2014,5(1):4475.
• [7] XIAO D,CHANG M C,NIU Q.Berry phase effects on electronic properties[J].Reviews of Modern Physics,2010,82(3):1959.
• [8] RIBEIRO-SOARES J,ALMEIDA R M,CAN?ADO L G,et al.Group theory for structural analysis and lattice vibrations in phosphorene systems[J].Physical Review B,2015,91(20):205421.
• [9] ZHOU S,BAO C,FAN B,et al.Pseudospin-selective Floquet band engineering in black phosphorus[J].Nature,2023,614(7946):75.
• [10] ZHOU X,LOU W K,ZHAI F,et al.Anomalous magneto-optical response of black phosphorus thin films[J].Physical Review B,2015,92(16):165405.
• [11] FEI R,TRAN V,YANG L.Topologically protected Dirac cones in compressed bulk black phosphorus[J].Physical Review B,2015,91(19):195319.
• [12] ZHOU X Y,ZHANG R,SUN J P,et al.Landau levels and magneto-transport property of monolayer phosphorene[J].Scientific Reports,2015,5(1):12295.
• [13] GOLDMAN N,DALIBARD J.Periodically Driven Quantum Systems:Effective Hamiltonians and Engineered Gauge Fields[J].Physical Review X,2014,4(3):031027.
• [14] XIAO D,YAO W,NIU Q.Valley-Contrasting Physics in Graphene:Magnetic Moment and Topological Transport[J].Physical Review Letters,2007,99(23):236809.