Light-induced anomalous Hall, Nernst, and thermal Hall effects in black phosphorus thin films,Physical Review B

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Light-induced anomalous Hall, Nernst, and thermal Hall effects in black phosphorus thin films
Physical Review B ( IF 3.2 ) Pub Date : 2024-09-10 , DOI: 10.1103/physrevb.110.125411
Benliang Zhou ₁ , Rongfang Zeng ₁ , Benhu Zhou ₂ , Xiaoying Zhou ₃ , Kaike Yang ₁ , Guanghui Zhou ₂

Affiliation

Light irradiation is a common and flexible method to induce Berry curvature in low-dimensional materials by breaking time-reversal symmetry. The recent Floquet band engineering in black phosphorus (BP) was successfully realized in experiment [S. Zhou et al., Nature (London) 614, 75 (2023)], hereby, we study the anomalous Hall, Nernst, and thermal Hall effects in BP thin films irradiated by an off-resonant circularly polarized light. Using the

k \cdot p

Hamiltonian and Floquet theory, we derive the effective Hamiltonian and Berry curvature through two-photon processes up to the second order. We find that the light slightly increases the band gap, and the Berry curvature increases with increasing light intensity. Notably, the anomalous Hall conductivity exhibits a negative plateau width equal to the band gap, which is four orders of magnitude larger than that of monolayer BP. On the contrary, the anomalous Nernst conductivity is always zero within the band gap, showing a dip-peak profile. The anomalous thermal Hall conductivity trend mirrors that of the anomalous Hall conductivity, in line with the Wiedemann-Franz law. Our results provide a feasible method to obtain a finite Berry curvature and shed light on possible topological phase in BP thin films.

中文翻译：

黑磷薄膜中的光致反常霍尔效应、能斯特效应和热霍尔效应

光照射是一种常见且灵活的方法，通过打破时间反转对称性在低维材料中诱导贝里曲率。最近在黑磷（BP）中的Floquet带工程在实验中成功实现了[S.周等人。 , Nature (London) 614 , 75 (2023)]，在此，我们研究了非共振圆偏振光照射下的 BP 薄膜中的反常霍尔效应、能斯特效应和热霍尔效应。使用

k \cdot p

哈密顿量和弗洛奎特理论，我们通过二阶双光子过程推导出有效哈密顿量和贝里曲率。我们发现光稍微增加了带隙，并且贝里曲率随着光强度的增加而增加。值得注意的是，反常霍尔电导率表现出等于带隙的负平台宽度，比单层 BP 大四个数量级。相反，反常能斯特电导率在带隙内始终为零，呈现出谷峰轮廓。反常热霍尔电导率趋势反映了反常霍尔电导率的趋势，符合维德曼-弗朗兹定律。我们的结果提供了一种获得有限贝里曲率的可行方法，并揭示了 BP 薄膜中可能的拓扑相。

更新日期：2024-09-10

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