Infrared spectroscopic study of topological material BaMnSb<sub>2</sub>

Qiu Zi-Yang; Chen Yan; Qiu Xiang-Gang

doi:10.7498/aps.71.20220011

Abstract

A detailed infrared optical spectrum of the new topological material BaMnSb₂ has been measured at temperatures ranging from 7 K to 295 K. As the temperature decreases, the plasma minimum has a clear blue shift in reflectivity spectrum, indicating that the carrier density changes with temperature. In the real part of the optical conductivity $\sigma_{1}(\omega)$, two linearly-increased components can be identified, but neither of their extrapolation pass through the origin, which proves that BaMnSb₂ has a gapped Dirac dispersion near the Fermi level. Comparing with the theoretical calculation by using first-principles methods, the onset of these two linearly-increased components are in good agreement with the band structures. In addition, a range of constant optical conductivity is found in $\sigma_{1}(\omega)$, which cannot be described well by the Drude-Lorentz model. Therefore, we introduce a frequency-independent component to fit $\sigma_{1}(\omega)$ successfully. However, different from the Dirac nodal-line semimetal YbMnSb₂ which shares same fitting results as well as crystal structure, the constant component in BaMnSb₂ has a small proportion of $\sigma_{1}(\omega)$. Through calculation and analysis, we attribute the constant component to the surface state of BaMnSb₂.

Keywords:

infrared spectroscopy /
topological material /
frequency-independent optical conductivity

Authors and contacts

1.
Nanjing Electronic Device Institute, Nanjing 210016, China
2.
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
3.
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
4.
Collaborative Innovation Center of Quantum Matter, Beijing 100084, China

Corresponding author: Qiu Xiang-Gang, xgqiu@iphy.ac.cn

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References

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Cited By

图 1 BaMnSb₂在5个温度点50—3000 cm^–1范围内的反射率. 插图为室温下到30000 cm^–1的反射谱

Figure 1. Reflectivity of BaMnSb₂ at five representative temperatures between 50–3000 cm^–1. The inset displays the reflectivity up to 30000 cm^–1 at room temperature

DownLoad: Full-Size Img PowerPoint

图 2 通过Kramers-Kronig计算得到相应的光电导的实部. 插图为室温下到更高频率的光电导谱

Figure 2. The corresponding real part of optical conductivity $ \sigma_{1}(\omega) $ is calculated through Kramers-Kronig transformation. The inset shows $ \sigma_{1}(\omega) $ over a broad frequency range at room temperature

DownLoad: Full-Size Img PowerPoint

图 3 蓝色实线为7 K时BaMnSb₂在高频波段的光电导谱, 粉色虚线和黑色虚线分别示意了两段线性增加的光电导. 插图是不同温度下粉色虚线线性外延与横坐标的交点, 对应了Dirac能隙随温度变化的关系

Figure 3. The blue solid curve is $ \sigma_{1}(\omega) $ for BaMnSb₂ at 7 K in high-frequency range. The pink and dark dashed lines denote two range of linearly-increased $ \sigma_{1}(\omega) $. The inset exhibits extrapolation of the pink dashed line to zero conductivity at finite frequency, corresponding to the temperature-dependent Dirac gap

DownLoad: Full-Size Img PowerPoint

图 4 BaMnSb₂在7 K时的$ \sigma_{1}(\omega) $, 其中黑色虚线注明了恒定光电导组分. 插图为$ \sigma_{1}(\omega) $的谱重随频率变化的关系, 其中黑色虚线表明在350—1150 cm^–1范围内谱重随频率线性增加

Figure 4. $ \sigma_{1}(\omega) $ for BaMnSb₂ at 7 K. The dark dashed line denotes the frequency-independent component. The inset portrays the spectral weight $ S(\omega) $ at 7 K, and the dark dashed line represents $ S(\omega) $ follows an ω behavior in the range between 350–1150 cm^–1

DownLoad: Full-Size Img PowerPoint

图 5 $ \sigma_{1}(\omega) $在0—2500 cm^–1范围内的拟合结果, 拟合的组分为一个绿色的Drude 分量, 一个粉色的Lorentz分量, 和一个深黄色的恒定分量. 对于100和200 cm^–1附近的红外活性声子暂不讨论

Figure 5. Fitting results for $ \sigma_{1}(\omega) $ in 0–2500 cm^–1 frequency range, which is decomposed into one Drude term (green dashed line), one Lorentz term (pink dashed line), and a constant component (dark yellow dashed line). The infrared-active phonons near 100 and 200 cm^–1 are ignored

DownLoad: Full-Size Img PowerPoint

map

[1]	Dziawa P, Kowalski B J, Dybko K, Buczko R, Szczerbakow A, Szot M, Lusakowska E, Balasubra- manian T, Wojek B M, Berntsen M H 2012 Nat. Mater. 11 1023 Google Scholar
[2]	Zhang H, Liu C X, Qi X L, Dai X, Fang Z, Zhang S C 2009 Nat. Phys. 5 438 Google Scholar
[3]	Wang Z J, Sun Y, Chen X Q, Franchini C, Xu G, Weng H M, Dai X, Fang Z 2012 Phys. Rev. B 85 195320 Google Scholar
[4]	Ma X M, Zhao Y, Zhang K, Kumar S, Lu R, Li J, Yao Q, Shao J, Hou F, Wu X 2021 Phys. Rev. B 103 121112 Google Scholar
[5]	de Boer J C, Wielens D H, Voerman J A, de Ronde B, Huang Y, Golden M S, Li C, Brinkman A 2019 Phys. Rev. B 99 085124 Google Scholar
[6]	Hsieh D, Xia Y, Qian D, Wray L, Meier F, Dil J H, Osterwalder J, Patthey L, Fedorov A V, Lin H 2009 Phys. Rev. Lett. 103 146401 Google Scholar
[7]	Su Y H, Shi W, Felser C, Sun Y 2018 Phys. Rev. B 97 155431 Google Scholar
[8]	Singh S, Garcia-Castro A C, Valencia-Jaime I, Munoz F, Romero A H 2016 Phys. Rev. B 94 161116 Google Scholar
[9]	Bansil A, Lin H, Das T 2016 Rev. Mod. Phys. 88 021004 Google Scholar
[10]	Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045 Google Scholar
[11]	Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057 Google Scholar
[12]	Park J, Lee G, Wolff-Fabris F, Koh Y Y, Eom M J, Kim Y K, Farhan M A, Jo Y J, Kim C, Shim J H 2011 Phys. Rev. Lett. 107 126402 Google Scholar
[13]	Wang K F, Graf D, Wang L M, Lei H C, Tozer S W, Petrovic C 2012 Phys. Rev. B 85 041101
[14]	Li L J, Wang K F, Graf D, Wang L M, Wang A F, Petrovic C 2016 Phys. Rev. B 93 115141 Google Scholar
[15]	Wang A F, Zaliznyak I, Ren W J, Wu L J, Graf D, Garlea V O, Warren J B, Bozin E, Zhu Y M, Petrovic C 2016 Phys. Rev. B 94 165161 Google Scholar
[16]	Wang K F, Graf D, Lei H C, Tozer S W, Petrovic C 2011 Phys. Rev. B 84 220401 Google Scholar
[17]	May A F, McGuire M A, Sales B C 2014 Phys. Rev. B 90 075109 Google Scholar
[18]	Chinotti M, Pal A, Ren W J, Petrovic C, Degiorgi L 2016 Phys. Rev. B 94 245101 Google Scholar
[19]	Lee G, Farhan M A, Kim J S, Shim J H 2013 Phys. Rev. B 87 245104 Google Scholar
[20]	Liu J, Hu J, Cao H, Zhu Y, Chuang A, Graf D, Adams D J, Radmanesh S M A, Spinu L, Chiorescu I 2016 Sci. Rep. 6 30525 Google Scholar
[21]	Chaudhuri D, Cheng B, Yaresko A, Gibson Q D, Cava R J, Armitage N P 2017 Phys. Rev. B 96 075151 Google Scholar
[22]	Qiu Z Y, Le C C, Dai Y M, Xu B, He J B, Yang R, Chen G F, Hu J P, Qiu X G 2018 Phys. Rev. B 98 115151 Google Scholar
[23]	Kealhofer R, Jang S, Griffin S M, John C, Benavides K A, Doyle S, Helm T, Moll P J W, Neaton J B, Chan J Y 2018 Phys. Rev. B 97 045109 Google Scholar
[24]	Wang Y Y, Xu S, Sun L L, Xia T L 2018 Phys. Rev. Mater. 2 021201 Google Scholar
[25]	Qiu Z Y, Le C C, Liao Z Y, Xu B, Yang R, Hu J P, Dai Y M, Qiu X G 2019 Phys. Rev. B 100 125136 Google Scholar
[26]	Qiu Z Y, Liao Z Y, Qiu X G 2019 Chin. Phys. B 28 047801 Google Scholar
[27]	Farhan M A, Lee G, Shim J H 2014 J. Phys. Condens. Matter 26 042201 Google Scholar
[28]	Rong H T, Zhou L Q, He J B, Song C Y, Xu Y, Cai Y Q, Li C, Wang Q Y, Zhao L, Liu G D, Xu Z Y, Chen G F, Weng H M, Zhou X J 2021 Chin. Phys. B 30 067403 Google Scholar
[29]	Armitage N P, Mele E J, Vishwanath A 2018 Rev. Mod. Phys. 90
[30]	Carbotte J P 2017 J. Phys. Condens. Matter 29 045301 Google Scholar
[31]	Hosur P, Parameswaran S A, Vishwanath A 2012 Phys. Rev. Lett. 108 046602 Google Scholar
[32]	Schilling M B, Schoop L M, Lotsch B V, Dressel M, Pronin A V 2017 Phys. Rev. Lett. 119 187401 Google Scholar
[33]	Topp A, Queiroz R, Grüneis A, Müchler L, Rost A W, Varykhalov A, Marchenko D, Krivenkov M, Rodolakis F, McChesney J L 2017 Phys. Rev. X 7 041073
[34]	Chen R Y, Zhang S J, Zhang M Y, Dong T, Wang N L 2017 Phys. Rev. Lett. 118 107402 Google Scholar
[35]	Shao Y, Sun Z, Wang Y, Xu C, Sankar R, Breindel A J, Cao C, Fogler M M, Millis A J, Chou F 2019 Proc. Natl. Acad. Sci. 11v 1168
[36]	Homes C C, Reedyk M, Cradles D A, Timusk T 1993 Appl. Opt. 32 2976 Google Scholar
[37]	Li B W, Jiang W C, Chen G Y, Xiang Y, Xie W, Dai Y M, Zhu X Y, Yang H, Wen H H 2020 Sci. China-Phys. Mech. Astron. 63 117011 Google Scholar
[38]	Kuzmenko A B, van Heumen E, Carbone F, van der Marel D 2008 Phys. Rev. Lett. 100 117401 Google Scholar
[39]	Mak K F, Sfeir M Y, Wu Y, Lui C H, Misewich J A, Heinz T F 2008 Phys. Rev. Lett. 101 196405 Google Scholar
[40]	Ando T, Zheng Y, Suzuura H 2002 J. Phys. Soc. Jpn. 71 1318 Google Scholar
[41]	Habe T, Koshino M 2018 Phys. Rev. B 98 125201 Google Scholar

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Infrared spectroscopic study of topological material BaMnSb₂

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Corresponding author: Qiu Xiang-Gang, xgqiu@iphy.ac.cn

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Infrared spectroscopic study of topological material BaMnSb2

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Corresponding author: Qiu Xiang-Gang, xgqiu@iphy.ac.cn

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Infrared spectroscopic study of topological material BaMnSb₂