Two ultra-stable novel allotropes of tellurium few-layers

doi:10.1088/1674-1056/aba606

Abstract At least four two- or quasi-one-dimensional allotropes and a mixture of them were theoretically predicted or experimentally observed for low-dimensional Te, namely the α, β, γ, δ, and chiral-α +δ phases. Among them the γ and α phases were found to be the most stable phases for monolayer and thicker layers, respectively. Here, we found two novel low-dimensional phases, namely the ε and ζ phases. The ζ phase is over 29 meV/Te more stable than the most stable monolayer γ phase, and the ε phase shows comparable stability with the most stable monolayer γ phase. The energetic difference between the ζ and α phases reduces with respect to the increased layer thickness and vanishes at the four-layer (12-sublayer) thickness, while this thickness increases under change doping. Both ε and ζ phases are metallic chains and layers, respectively. The ζ phase, with very strong interlayer coupling, shows quantum well states in its layer-dependent bandstructures. These results provide significantly insight into the understanding of polytypism in Te few-layers and may boost tremendous studies on properties of various few-layer phases.

Keywords: two-dimensional materials Te density functional theory

Received: 06 May 2020
Revised: 29 June 2020
Accepted manuscript online: 15 July 2020

PACS:

71.15.Mb

(Density functional theory, local density approximation, gradient and other corrections)

Fund: Project supported by the Science Fund from the Ministry of Science and Technology (MOST) of China (Grant No. 2018YFE0202700), the National Natural Science Foundation of China (Grant Nos. 11274380, 91433103, 11622437, 61674171, 11974422, and 61761166009), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB30000000), the Fundamental Research Funds for the Central Universities of China and the Research Funds of Renmin University of China (Grant No. 16XNLQ01), the Research Grant No. Council of Hong Kong, China (Grant No. N_PolyU540/17), and the Hong Kong Polytechnic University (Grant No. G-SB53). Cong Wang was supported by the Outstanding Innovative Talents Cultivation Funded Programs 2017 of Renmin University of China.

Corresponding Authors: Wei Ji
E-mail: wji@ruc.edu.cn

Cite this article:

Changlin Yan(严长林), Cong Wang(王聪), Linwei Zhou(周霖蔚), Pengjie Guo(郭朋杰), Kai Liu(刘凯), Zhong-Yi Lu(卢仲毅), Zhihai Cheng(程志海), Yang Chai(柴扬), Anlian Pan(潘安练), Wei Ji(季威) Two ultra-stable novel allotropes of tellurium few-layers 2020 Chin. Phys. B 29 097103

[1]	Balendhran S, Walia S, Nili H, Sriram S and Bhaskaran M 2015 Small 11 640
[2]	Bhimanapati G R, Lin Z, Meunier V, Jung Y, Cha J, Das S, Xiao D, Son Y, Strano M S and Cooper V R 2015 ACS Nano 9 11509
[3]	Molle A, Goldberger J, Houssa M, Xu Y, Zhang S C and Akinwande D 2017 Nat. Mater. 16 163
[4]	Zhang Y, Tan Y W, Stormer H L and Kim P 2005 Nature 438 201
[5]	Geim A K and Novoselov K S 2010 Nanoscience and technology: a collection of reviews from nature journals (World Scientific) pp. 11-19
[6]	Neto A C, Guinea F, Peres N M, Novoselov K S and Geim A K 2009 Rev. Mod. Phys. 81 109
[7]	Zhang Y, Tang T T, Girit C, Hao Z, Martin M C, Zettl A, Crommie M F, Shen Y R and Wang F 2009 Nature 459 820
[8]	Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 226801
[9]	Li G, Li Y, Liu H, Guo Y, Li Y and Zhu D 2010 Chem. Commun. 46 3256
[10]	Liu C C, Feng W and Yao Y 2011 Phys. Rev. Lett. 107 076802
[11]	Fleurence A, Friedlein R, Ozaki T, Kawai H, Wang Y and Yamada-Takamura Y 2012 Phys. Rev. Lett. 108 245501
[12]	Ni Z, Liu Q, Tang K, Zheng J, Zhou J, Qin R, Gao Z, Yu D and Lu J 2012 Nano Lett. 12 113
[13]	Dávila M, Xian L, Cahangirov S, Rubio A and Le Lay G 2014 New J. Phys. 16 095002
[14]	Tang P, Chen P, Cao W, Huang H, Cahangirov S, Xian L, Xu Y, Zhang S C, Duan W and Rubio A 2014 Phys. Rev. B 90 121408
[15]	Zhu F F, Chen W J, Xu Y, Gao C L, Guan D D, Liu C H, Qian D, Zhang S C and Jia J F 2015 Nat. Mater. 14 1020
[16]	Mannix A J, Zhou X F, Kiraly B, Wood J D, Alducin D, Myers B D, Liu X, Fisher B L, Santiago U and Guest J R 2015 Science 350 1513
[17]	Mannix A J, Zhang Z, Guisinger N P, Yakobson B I and Hersam M C 2018 Nat. Nanotechnol. 13 444
[18]	Feng B, Zhang J, Zhong Q, Li W, Li S, Li H, Cheng P, Meng S, Chen L and Wu K 2016 Nat. Chem. 8 563
[19]	Li L, Yu Y, Ye G J, Ge Q, Ou X, Wu H, Feng D, Chen X H and Zhang Y 2014 Nat. Nanotechnol. 9 372
[20]	Liu H, Neal A T, Zhu Z, Luo Z, Xu X, Tománek D and Ye P D 2014 ACS Nano 8 4033
[21]	Qiao J, Kong X, Hu Z X, Yang F and Ji W 2014 Nat. Commun. 5 1
[22]	Wei Q and Peng X 2014 Appl. Phys. Lett. 104 251915
[23]	Kim J, Baik S S, Ryu S H, Sohn Y, Park S, Park B G, Denlinger J, Yi Y, Choi H J and Kim K S 2015 Science 349 723
[24]	Zhang S, Yan Z, Li Y, Chen Z and Zeng H 2015 Angew. Chem. Int. Ed. 54 3112
[25]	Ji J, Song X, Liu J, Yan Z, Huo C, Zhang S, Su M, Liao L, Wang W and Ni Z 2016 Nat. Commun. 7 13352
[26]	Drozdov I K, Alexandradinata A, Jeon S, Nadj-Perge S, Ji H, Cava R J, Bernevig B A and Yazdani A 2014 Nat. Phys. 10 664
[27]	Xia F, Mueller T, Lin Y-m, Valdes-Garcia A and Avouris P 2009 Nat. Nanotechnol. 4 839
[28]	Liu C H, Chang Y C, Norris T B and Zhong Z 2014 Nat. Nanotechnology 9 273
[29]	Kong X K, Chen C L and Chen Q W 2014 Chem. Soc. Rev. 43 2841
[30]	Deng H X, Song Z G, Li S S, Wei S H and Luo J W 2018 Chin. Phys. Lett. 35 057301
[31]	Li H, Wang Z Y, Zheng X J, Liu Y and Zhong Y 2018 Chin. Phys. Lett. 35 127501
[32]	Gong Y, Guo J, Li J, Zhu K, Liao M, Liu X, Zhang Q, Gu L, Tang L and Feng X 2019 Chin. Phys. Lett. 36 076801
[33]	Jiang G, Feng Y, Wu W, Li S, Bai Y, Li Y, Zhang Q, Gu L, Feng X and Zhang D 2018 Chin. Phys. Lett. 35 076802
[34]	Wu D, Mi Z, Li Y, Wu W, Li P, Song Y, Liu G, Li G and Luo J 2019 Chin. Phys. Lett. 36 077102
[35]	Jia Y T, Zhao J F, Zhang S J, Yu S, Dai G Y, Li W M, Duan L, Zhao G Q, Wang X C and Zheng X 2019 Chin. Phys. Lett. 36 087401
[36]	Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E and Jarillo-Herrero P 2018 Nature 556 43
[37]	Liao M, Zang Y, Guan Z, Li H, Gong Y, Zhu K, Hu X P, Zhang D, Xu Y and Wang Y Y 2018 Nat. Phys. 14 344
[38]	Kong X, Liu Q, Zhang C, Peng Z and Chen Q 2017 Chem. Soc. Rev. 46 2127
[39]	Kim M S, Ma X H, Cho K H, Jeon S Y, Hur K and Sung Y M 2018 Adv. Mater. 30 1702701
[40]	Yi S, Zhu Z, Cai X, Jia Y and Cho J H 2018 Inorg. Chem. 57 5083
[41]	Du Y, Qiu G, Wang Y, Si M, Xu X, Wu W and Ye P D 2017 Nano Lett. 17 3965
[42]	Huang X, Guan J, Lin Z, Liu B, Xing S, Wang W and Guo J 2017 Nano Lett. 17 4619
[43]	Chen J, Dai Y, Ma Y, Dai X, Ho W and Xie M 2017 Nanoscale 9 15945
[44]	Wang Y, Qiu G, Wang R, Huang S, Wang Q, Liu Y, Du Y, Goddard W A, Kim M J and Xu X 2018 Nat. Electron. 1 228
[45]	Zhu Z, Cai X, Yi S, Chen J, Dai Y, Niu C, Guo Z, Xie M, Liu F and Cho J H 2017 Phys. Rev. Lett. 119 106101
[46]	Qiao J, Pan Y, Yang F, Wang C, Chai Y and Ji W 2018 Sci. Bull. 63 159
[47]	Wang Y, Xiao C, Chen M, Hua C, Zou J, Wu C, Jiang J, Yang S A, Lu Y and Ji W 2018 Mater. Horizons 5 521
[48]	Chao L, Bukhtiar A, Xi S, Kong P P, Wang W P, Zhao H F, Yao Y, Zou B S, Li Y C, Li X D, Liu J, Jin C Q and Yu R C 2015 Chin. Phys. B 24 036401
[49]	Tia X Q, Du S X and Gao H J 2008 Chin. Phys. B 17 286
[50]	Zhang W, Wu Q, Yazyev O V, Weng H, Guo Z, Cheng W D and Chai G L 2018 Phys. Rev. B 98 115411
[51]	Zhou D W, Pu C Y, Dominik S, Zhang G F, Lu C, Li G Q and Song J F 2013 Chin. Phys. Lett. 30 027401
[52]	Wang C, Zhou X, Qiao J, Zhou L, Kong X, Pan Y, Cheng Z, Chai Y and Ji W 2018 Nanoscale 10 22263
[53]	Qiao J, Zhou L and Ji W 2017 Chin. Phys. B 26 036803
[54]	Hu Z X, Kong X, Qiao J, Normand B and Ji W 2016 Nanoscale 8 2740
[55]	Jia Q, Kong X, Qiao J and Ji W 2016 Sci. China-Phys. Mech. Astron. 59 696811
[56]	Du Y, Zhuang J, Wang J, Li Z, Liu H, Zhao J, Xu X, Feng H, Chen L and Wu K 2016 Sci. Adv. 2 e1600067
[57]	Arafune R, Lin C L, Kawahara K, Tsukahara N, Minamitani E, Kim Y, Takagi N and Kawai M 2013 Surf. Sci. 608 297
[58]	Shuai Z 2020 Chin. Phys. Lett. 37 068103
[59]	Zhang J, Zhang S, Qiu X, Wu Y, Sun Q, Zou J, Li T and Chen P 2020 Chin. Phys. Lett. 37 038101
[60]	Zhou T, Zhu X G, Tong M, Zhang Y, Luo X B, Xie X, Feng W, Chen Q, Tan S and Wang Z Y 2019 Chin. Phys. Lett. 36 117303
[61]	Agapito L A, Kioussis N, Goddard I I I W A and Ong N P 2013 Phys. Rev. Lett. 110 176401
[62]	Blöchl P E 1994 Phys. Rev. B 50 17953
[63]	Kresse G and Joubert D 1999 Phys. Rev. B 59 1758
[64]	Kresse G and Furthmüller J 1996 Phys. Rev. B 54 11169
[65]	Giannozzi P, Baroni S, Bonini N, Calandra M, Car R, Cavazzoni C, Ceresoli D, Chiarotti G L, Cococcioni M and Dabo I 2009 J. Phys.: Condens. Matter 21 395502
[66]	Dion M, Rydberg H, Schröder E, Langreth D C and Lundqvist B I 2004 Phys. Rev. Lett. 92 246401
[67]	Lee K, Murray É D, Kong L, Lundqvist B I and Langreth D C 2010 Phys. Rev. B 82 081101
[68]	Klimeš J, Bowler D R and Michaelides A 2010 J. Phys.: Condens. Matter 22 022201
[69]	Klimeš J, Bowler D R and Michaelides A 2011 Phys. Rev. B 83 195131
[70]	Thonhauser T, Cooper V R, Li S, Puzder A, Hyldgaard P and Langreth D C 2007 Phys. Rev. B 76 125112
[71]	Heyd J, Scuseria G E and Ernzerhof M 2003 J. Chem. Phys. 118 8207
[72]	Hong J, Hu Z, Probert M, Li K, Lv D, Yang X, Gu L, Mao N, Feng Q and Xie L 2015 Nat. Commun. 6 1
[73]	Zhao Y, Qiao J, Yu Z, Yu P, Xu K, Lau S P, Zhou W, Liu Z, Wang X and Ji W 2017 Adv. Mater. 29 1604230
[74]	Qiao X F, Wu J B, Zhou L, Qiao J, Shi W, Chen T, Zhang X, Zhang J, Ji W and Tan P H 2016 Nanoscale 8 8324
[75]	Ji W, Lu Z Y and Gao H 2006 Phys. Rev. Lett. 97 246101
[76]	Wang C, Zhou X, Pan Y, Qiao J, Kong X, Kaun C C and Ji W 2018 Phys. Rev. B 97 245409
[77]	Shulenburger L, Baczewski A D, Zhu Z, Guan J and Tomanek D 2015 Nano Lett. 15 8170
[78]	Jamieson J and McWhan D 1965 J. Chem. Phys. 43 1149

[1]	Cascade excitation of vortex motion and reentrant superconductivity in flexible Nb thin films Liping Zhang(张丽萍), Zuyu Xu(徐祖雨), Xiaojie Li(黎晓杰), Xu Zhang(张旭), Mingyang Qin(秦明阳), Ruozhou Zhang(张若舟), Juan Xu(徐娟), Wenxin Cheng(程文欣), Jie Yuan(袁洁), Huabing Wang(王华兵), Alejandro V. Silhanek, Beiyi Zhu(朱北沂), Jun Miao(苗君), and Kui Jin(金魁). Chin. Phys. B, 2023, 32(4): 047302.
[2]	Adaptive genetic algorithm-based design of gamma-graphyne nanoribbon incorporating diamond-shaped segment with high thermoelectric conversion efficiency Jingyuan Lu(陆静远), Chunfeng Cui(崔春凤), Tao Ouyang(欧阳滔), Jin Li(李金), Chaoyu He(何朝宇), Chao Tang(唐超), and Jianxin Zhong(钟建新). Chin. Phys. B, 2023, 32(4): 048401.
[3]	Electron beam pumping improves the conversion efficiency of low-frequency photons radiated by perovskite quantum dots Peng Du(杜鹏), Yining Mu(母一宁), Hang Ren(任航), Idelfonso Tafur Monroy, Yan-Zheng Li(李彦正), Hai-Bo Fan(樊海波), Shuai Wang(王帅), Makram Ibrahim, and Dong Liang(梁栋). Chin. Phys. B, 2023, 32(4): 048704.
[4]	Meshfree-based physics-informed neural networks for the unsteady Oseen equations Keyi Peng(彭珂依), Jing Yue(岳靖), Wen Zhang(张文), and Jian Li(李剑). Chin. Phys. B, 2023, 32(4): 040208.
[5]	An optimized infinite time-evolving block decimation algorithm for lattice systems Junjun Xu(许军军)^†. Chin. Phys. B, 2023, 32(4): 040303.
[6]	Precision measurement and suppression of low-frequency noise in a current source with double-resonance alignment magnetometers Jintao Zheng(郑锦韬), Yang Zhang(张洋), Zaiyang Yu(鱼在洋), Zhiqiang Xiong(熊志强), Hui Luo(罗晖), and Zhiguo Wang(汪之国). Chin. Phys. B, 2023, 32(4): 040601.
[7]	Nonreciprocal wide-angle bidirectional absorber based on one-dimensional magnetized gyromagnetic photonic crystals You-Ming Liu(刘又铭), Yuan-Kun Shi(史源坤), Ban-Fei Wan(万宝飞), Dan Zhang(张丹), and Hai-Feng Zhang(章海锋). Chin. Phys. B, 2023, 32(4): 044203.
[8]	A probability theory for filtered ghost imaging Zhong-Yuan Liu(刘忠源), Shao-Ying Meng(孟少英), and Xi-Hao Chen(陈希浩)^†. Chin. Phys. B, 2023, 32(4): 044204.
[9]	Light manipulation by dual channel storage in ultra-cold Rydberg medium Xue-Dong Tian(田雪冬), Zi-Jiao Jing(景梓骄), Feng-Zhen Lv(吕凤珍), Qian-Qian Bao(鲍倩倩), and Yi-Mou Liu(刘一谋). Chin. Phys. B, 2023, 32(4): 044205.
[10]	Drift characteristics and the multi-field coupling stress mechanism of the pantograph-catenary arc under low air pressure Zhilei Xu(许之磊), Guoqiang Gao(高国强), Pengyu Qian(钱鹏宇), Song Xiao(肖嵩), Wenfu Wei(魏文赋), Zefeng Yang(杨泽锋), Keliang Dong(董克亮), Yaguang Ma(马亚光), and Guangning Wu(吴广宁). Chin. Phys. B, 2023, 32(4): 045202.
[11]	Analytical determination of non-local parameter value to investigate the axial buckling of nanoshells affected by the passing nanofluids and their velocities considering various modified cylindrical shell theories Soheil Oveissi, Aazam Ghassemi, Mehdi Salehi, S.Ali Eftekhari, and Saeed Ziaei-Rad. Chin. Phys. B, 2023, 32(4): 046201.
[12]	Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model Hengchun Hu(胡恒春) and Yaqi Li(李雅琦). Chin. Phys. B, 2023, 32(4): 040503.
[13]	Feedback control and quantum error correction assisted quantum multi-parameter estimation Hai-Yuan Hong(洪海源), Xiu-Juan Lu(鲁秀娟), and Sen Kuang(匡森). Chin. Phys. B, 2023, 32(4): 040603.
[14]	A compact and closed-loop spin-exchange relaxation-free atomic magnetometer for wearable magnetoencephalography Qing-Qian Guo(郭清乾), Tao Hu(胡涛), Xiao-Yu Feng(冯晓宇), Ming-Kang Zhang(张明康), Chun-Qiao Chen(陈春巧), Xin Zhang(张欣), Ze-Kun Yao(姚泽坤), Jia-Yu Xu(徐佳玉),Qing Wang(王青), Fang-Yue Fu(付方跃), Yin Zhang(张寅), Yan Chang(常严), and Xiao-Dong Yang(杨晓冬). Chin. Phys. B, 2023, 32(4): 040702.
[15]	Nonreciprocal negative refraction in a dense hot atomic medium Hai Yi(易海), Hongjun Zhang(张红军), and Hui Sun(孙辉). Chin. Phys. B, 2023, 32(4): 044202.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Two ultra-stable novel allotropes of tellurium few-layers

Cite this article:

Online attention