并苯分子结的热电性质

谢忠祥; 喻霞; 贾聘真; 陈学坤; 邓元祥; 张勇; 周五星

doi:10.7498/aps.72.20230354

摘要

通过运用非平衡格林函数方法, 研究了基于并苯连接石墨烯纳米带的分子结的热电性质. 主要考虑了并苯分子长度、并苯分子与石墨烯纳米带电极的接触位置对并苯分子结热电参量的影响. 结果发现并苯分子结最大热电优值(ZT_max)对应的热导中声子贡献往往占据主导地位. 当并苯分子的长度增加, 声子热导单调减少, 最终变得与并苯分子长度几乎无关. 当并苯分子与石墨烯纳米带左(右)电极的中(上)部接触时, 对应的ZT_max是最高的, 然而当并苯分子与石墨烯纳米带左(右)电极的中(中)部接触时, 对应的ZT_max是最低的. 当温度增加时, ZT_max有单调增加的趋势, 无关于接触位置. 随着并苯分子长度的增加, ZT_max对应化学势的位置越靠近本征费米能级. 以上发现能对未来设计基于并苯分子结的热电器件提供有价值的参考.

关键词:

Abstract

By using non-equilibrium Green’s function method, we investigate the thermoelectric properties of molecular junctions based on acene-linked graphene nanoribbons. The effects of the length of the acene molecule, the contact position between the acene molecule and graphene nanoribbon electrode on the thermoelectric parameters are mainly considered in this work. It is found that the phonon contribution is dominant in the thermal conductance corresponding to the maximum of the thermoelectric figure of merit (ZT_max). As the length of the acene molecule increases, the phonon thermal conductance decreases monotonically, and eventually becomes almost independent of the acene molecule’ length. When the acene molecules contact the middle (upper) part of the left (right) electrode of graphene nanoribbon, the corresponding ZT_max is the highest. However, when the acene molecules contact the middle (middle) part of the left (right) electrode of graphene nanoribbons, the corresponding ZT_max is the lowest. As the temperature increases, ZT_max has a monotonically increasing tendency, regardless of the contact position. With the increase of the length of the acene molecule, the chemical potential corresponding to ZT_max becomes closer to the intrinsic Fermi level. The above findings may provide the valuable reference for the future design of thermoelectric devices based on the acene molecular junctions.

Keywords:

作者及机构信息

1.
湖南工学院理学院, 衡阳　421002

2.
南华大学数理学院, 衡阳　421001

3.
湖南科技大学材料科学与工程学院, 湘潭　411201

通信作者: 谢忠祥, xiezxhu@163.com ; 周五星, wuxingzhou@hnu.edu.cn

基金项目: 国家自然科学基金(批准号: 12074115, 11874145, 11904161)和湖南省自然科学基金(批准号: 2021JJ30202, 2021JJ30203, 2022JJ30222)资助的课题.

Authors and contacts

1.
School of Science, Hunan Institute of Technology, Hengyang 421002, China

2.
School of Mathematics and Physics, University of South China, Hengyang 421001, China

3.
School of Materials Science and Engineering, Hunan University of Science and Technology, Xiangtan 411201, China

Corresponding author: Xie Zhong-Xiang, xiezxhu@163.com ; Zhou Wu-Xing, wuxingzhou@hnu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 12074115, 11874145, 11904161) and the Natural Science Foundation of Hunan Province, China (Grant Nos. 2021JJ30202, 2021JJ30203, 2022JJ30222).

文章全文 : translate this paragraph

参考文献

[1]	Wu C W, Ren X, Xie G, Zhou W X, Zhang G, Chen K Q 2022 Phys. Rev. Appl. 18 014053 Google Scholar
[2]	Jia P Z, Xie J P, Chen X K, Zhang Y, Yu X, Zeng Y J, Xie Z X, Deng Y X, Zhou W X 2023 J. Phys. Condens. Matter 35 073001 Google Scholar
[3]	Li N, Ren J, Wang L, Zhang G, Hanggi P, Li B 2012 Rev. Mod. Phys. 84 1045 Google Scholar
[4]	Su L, Wang D, Wang S, Qin B, Wang Y, Qin Y, Jin Y, Chang C, Zhao L D 2022 Science 375 1385 Google Scholar
[5]	陈晓彬, 段文晖 2015 64 186302 Google Scholar Chen X B, Duan W H 2015 Acta Phys. Sin. 64 186302 Google Scholar
[6]	Jia P Z, Xie Z X, Deng Y X, Zhang Y, Tang L M, Zhou W X, Chen K Q 2022 Appl. Phys. Lett. 121 043901 Google Scholar
[7]	余泽浩, 张力发, 吴靖, 赵云山 2023 72 057301 Google Scholar Yu Z H, Zhang L F, Wu J, Zhao Y S 2023 Acta Phys. Sin. 72 057301 Google Scholar
[8]	Shi X L, Zou J, Chen Z G 2020 Chem. Rev. 120 7399 Google Scholar
[9]	Wang T, Zhang C, Snoussi H, Zhang G 2020 Adv. Funct. Mater. 30 1906041 Google Scholar
[10]	Xie Q Y, Ma J J, Liu Q Y, Liu P F, Zhang P, Zhang K W, Wang B T 2022 Phys. Chem. Chem. Phys. 24 7303 Google Scholar
[11]	Zhou Z Z, Liu H J, Fan D D, Cao G H, Sheng C Y 2019 Phys. Rev. B 99 085410 Google Scholar
[12]	Deng L, Chen G M 2021 Nano Energy 80 105448 Google Scholar
[13]	Xie Z X, Tang L M, Pan C N, Li K M, Chen K Q, Duan W 2012 Appl. Phys. Lett. 100 073105 Google Scholar
[14]	Ouyang Y, Guo J 2009 Appl. Phys. Lett. 94 263107 Google Scholar
[15]	王艳, 陈南迪, 杨陈, 曾召益, 胡翠娥, 陈向荣 2021 70 116301 Google Scholar Wang Y, Chen N D, Chen Y, Zeng Z Y, Hu C E, Chen X R 2021 Acta Phys. Sin. 70 116301 Google Scholar
[16]	Jiang J W, Wang J S, Li B 2011 J. Appl. Phys. 109 014326 Google Scholar
[17]	Pan H, Tang L M, Chen K Q 2022 Phys. Rev. B 105 064401 Google Scholar
[18]	Pan H, Ding Z K, Zeng B W, Luo N N, Zeng J, Tang L M, Chen K Q 2023 Phys. Rev. B 107 104303 Google Scholar
[19]	Hicks L D, Dresselhaus M S 1993 Phys. Rev. B 47 12727 Google Scholar
[20]	宗志成, 潘东楷, 邓世琛, 万骁, 杨哩娜, 马登科, 杨诺 2023 72 034401 Google Scholar Zong Z C, Pan D K, Deng S C, Wan X, Yang L N, Ma D K, Yang N 2023 Acta Phys. Sin. 72 034401 Google Scholar
[21]	Markussen T, Jauho A P, Brandbyge M 2009 Phys. Rev. Lett. 103 055502 Google Scholar
[22]	Hochbaum A I, Chen R, Delgado R D, Liang W, Garnett E C, Najarian M, Majumdar A, Yang P 2008 Nature 451 163 Google Scholar
[23]	Chen I J, Burke A, Svilans A, Linke H, Thelander C 2018 Phys. Rev. Lett. 120 177703 Google Scholar
[24]	Ohnishi M, Shiga T, and Shiomi J 2017 Phys. Rev. B 95 155405 Google Scholar
[25]	Zhou G, Li L, Li G H 2010 Appl. Phys. Lett. 97 023112 Google Scholar
[26]	Dash A, Scheunemann D, Kemerink M 2022 Phys. Rev. Appl. 18 064022 Google Scholar
[27]	Huang N T, Nugraha A R T, Saito R 2019 Energies 12 4561 Google Scholar
[28]	Yang N X, Yan Q, Sun Q F 2020 Phys. Rev. B 102 245412 Google Scholar
[29]	Tang H, Wang X, Xiong Y, Zhao Y, Zhang Y, Zhang Y, Yang J, Xu D 2015 Nanoscale 7 6683 Google Scholar
[30]	Fan D D, Liu H J, Cheng L, Jiang P H, Shi J, Tang X F 2014 Appl. Phys. Lett. 105 133113 Google Scholar
[31]	Zberecki K, Wierzbicki M, Barnaś J, Swirkowicz R 2013 Phys. Rev. B 88 115404 Google Scholar
[32]	Liu W, Yan X, Chen G, Ren Z 2012 Nano Energy 1 42 Google Scholar
[33]	Tang J, Chen Y, McCuskey S R, Chen L, Bazan G C, Liang Z 2019 Adv. Electron. Mater. 5 1800943 Google Scholar
[34]	Foster S, Thesberg M, Neophytou N 2017 Phys. Rev. B 96 195425 Google Scholar
[35]	Huang W, Wang J S, Liang G 2011 Phys. Rev. B 84 045410 Google Scholar
[36]	Liang L, Cruz-Silva E, Girão E C, Meunier V 2012 Phys. Rev. B 86 115438 Google Scholar
[37]	Liang L, Meunier V 2013 Appl. Phys. Lett. 102 143101 Google Scholar
[38]	Sevinçli H, Cuniberti G 2010 Phys. Rev. B 81 113401 Google Scholar
[39]	Mazzamuto F, Nguyen V H, Apertet Y, Caër C, Chassat C, Martin J S, Dollfus P 2011 Phys. Rev. B 83 235426 Google Scholar
[40]	Karamitaheri H, Neophytou N, Pourfath M, Faez R, Kosina H 2012 J. Appl. Phys. 111 054501 Google Scholar
[41]	Anno Y, Imakita Y, Takei K, Akita S, Arie T 2017 2D Materials 4 025019 Google Scholar
[42]	Xiao H, Cao W, Ouyang T, Xu X, Ding Y C, Zhong J X 2018 Appl. Phys. Lett. 112 233107 Google Scholar
[43]	Dollfus P, Nguyen V H, Saint-Martin J 2015 J. Phys. Condens. Matter 27 133204 Google Scholar
[44]	Xu Y, Li Z, Duan W 2014 Small 10 2182 Google Scholar
[45]	Li D, Gong Y, Chen Y, Lin J, Khan Q, Zhang Y, Li Y, Zhang H, Xie H 2020 Nano-Micro Lett. 12 36 Google Scholar
[46]	Hippalgaonkar K, Wang Y, Ye Y, Qiu D Y, Zhu H, Wang Y, Moore J, Louie S G, Zhang X 2017 Phys. Rev. B 95 115407 Google Scholar
[47]	Zhu X L, Hou C H, Zhang P, Liu P F, Xie G F, Wang B T 2020 J. Phys. Chem. C 124 1812 Google Scholar
[48]	Zhang G, Zhang Y W 2017 J. Mater. Chem. C 5 7684 Google Scholar
[49]	Zhang G, Zhang Y W 2015 Mech. Mater. 91 382 Google Scholar
[50]	Zeng Y J, Wu D, Cao X H, Zhou W X, Tang L M, Chen K Q 2020 Adv. Funct. Mater. 30 1903873 Google Scholar
[51]	Zhou D, Zhang H, Zheng H, Xu Z, Xu H, Guo H, Li P, Tong Y, Hu B, Chen L 2022 Small 18 2200679 Google Scholar
[52]	Hurtado-Gallego J, Sangtarash S, Davidson R, et al. 2022 Nano Lett. 22 948 Google Scholar
[53]	Reddy P, Jang S Y, Segalman R A, Majumdar A 2007 Science 315 1568 Google Scholar
[54]	Miao R, Xu H, Skripnik M, Cui L, et al. 2018 Nano Lett. 18 5666 Google Scholar
[55]	Famili M, Grace I M, Al-Galiby Q, Sadeghi H, Lambert C J 2017 Adv. Funct. Mater. 28 1703135 Google Scholar
[56]	Bürkle M, Hellmuth T J, Pauly F, Asai Y 2015 Phys. Rev. B 91 165419 Google Scholar
[57]	Wu D, Cao X H, Chen S Z, Tang L M, Feng Y X, Chen K Q, Zhou W X 2019 J. Mater. Chem. A 7 19037 Google Scholar
[58]	Finch C, Garcia-Suarez V, Lambert C 2009 Phys. Rev. B 79 033405 Google Scholar
[59]	Klöckner J C, Cuevas J C, Pauly F 2017 Phys. Rev. B 96 24519 Google Scholar
[60]	Ratner M 2013 Nat. Nanotechnol. 8 378 Google Scholar
[61]	Hong G, Wu Q H, Ren J, Wang C, Zhang W, Lee S T 2013 Nano Today 8 388 Google Scholar
[62]	Zu F X, Gao G Y, Fu H H 2015 Appl. Phys. Lett. 107 252403 Google Scholar
[63]	Ni Y, Yao K L, Tang C Q, Gao G Y, Fu H H, Zhu S C 2014 RSC Adv. 4 18522 Google Scholar
[64]	Cao X H, Zhou W X, Chen C Y, Tang L M, Long M Q, Chen K Q 2017 Sci. Rep. 7 10842 Google Scholar
[65]	Wu D, Cao X H, Jia P Z, et al. 2020 Science. China-Phys. Mech. Astron. 63 276811 Google Scholar
[66]	Wang D, Tang L, Long M, Shuai Z 2011 J. Phys. Chem. C 115 5940 Google Scholar
[67]	Lederer J, Kaiser W, Mattoni A, Gagliardi A 2018 Adv. Theory Simul. 2 1800136 Google Scholar
[68]	Harada K, Sumino M, Adachi C, Tanaka S, Miyazaki K 2010 Appl. Phys. Lett. 96 253304 Google Scholar
[69]	Zhao W, Dai X, Liu L, Meng Q, Zou Y, Di C A, Zhu D 2021 Appl. Phys. Lett. 118 253302 Google Scholar
[70]	Krüger J, García F, Eisenhut F, et al. 2017 Angew. Chem. Int. Ed. 56 11945 Google Scholar
[71]	Chen X K, Hu X Y, Jia P, Xie Z X, Liu J 2021 Int. J. Mech. Sci. 206 106576 Google Scholar
[72]	Ying P, Liang T, Du Y, Zhang J, Zeng X, Zhong Z 2022 Int. J. Heat Mass Transfer 183 122060 Google Scholar
[73]	Xie Z X, Chen X K, Yu X, Deng Y X, Zhang Y, Zhou W X, Jia P Z 2023 Comput. Mater. Sci. 220 112041 Google Scholar
[74]	Wang J S, Wang J, Lü J T 2008 Eur. Phys. J. B 62 381 Google Scholar
[75]	Watanabe S, Ohno M, Yamashita Y, Terashige T, Okamoto H, Takeya J 2019 Phys. Rev. B 100 241201(R Google Scholar
[76]	Zhou J, Yang R 2011 Appl. Phys. Lett. 98 173107 Google Scholar
[77]	Cui L, Hur S, Akbar Z A, Klöckner J C, Jeong W, Pauly F, Jang S Y, Reddy P, Meyhofer E 2019 Nature 572 628 Google Scholar

施引文献

图 1 并苯连接石墨烯纳米带形成分子结的几何结构示意图. 并苯分子与石墨烯纳米带电极间的接触位置用整数1, 2, 3表示. 为了方便描述, 统一用AN(mn)来表示几何结构, 其中, “N”代表并苯分子长度(也就是苯环的数目), “m, n”分别表示左电极、右电极与中间并苯分子的接触位置. 例如: 本图可以用A5(22)表示

Fig. 1. Schematic geometric structure of the molecule junction formed by the acene linked with graphene nanoribbons. The contact positions between the acene molecule and graphene nanoribbon electrodes are denoted by the integers 1, 2, and 3. For the sake of description, we uniformly apply “AN(mn)” to represent the geometric structures, where “N” denotes the length of the acene molecule (namely the number of benzene rings), “m, n” denote the contact position between the left, right electrodes and the acene molecule, respectively. For example, this geometric structure is denoted by A5(22).

下载: 全尺寸图片幻灯片

图 2 声子热导$ {\sigma }_{{\rm{p}}} $与温度T的关系. 右下角的插图呈现了低温时声子热导$ {\sigma }_{{\rm{p}}} $与温度T关系的细节行为

Fig. 2. Phononic thermal conductance $ {\sigma }_{{\rm{p}}} $ versus the temperature T. The bottom-right inset shows the detailed behavior of the phononic thermal conductance $ {\sigma }_{{\rm{p}}} $ versus the temperature T at low temperatures.

下载: 全尺寸图片幻灯片

图 3 声子输运系数与入射声子能量的关系

Fig. 3. Phononic transmission coefficient versus the energy of incident phonons.

下载: 全尺寸图片幻灯片

图 4 A3(31), A3(22), A3(21)和A3(11)的(a)电导、(b) Seebeck系数、(c)热导和(d)ZT. 实线、划线、双点划线和点划线分别对应着A3(31), A3(22), A3(21)和A3(11). 图(c)中, 四条平整的曲线对应着声子热导

Fig. 4. (a) Electrical conductance, (b) Seebeck coefficient, (c) thermal conductance, and (d) ZT of A3(31), A3(22), A3(21)和A3(11). The solid, dashed, double-dot-dashed, and dot-dashed curves correspond to A3(31), A3(22), A3(21), and A3(11), respectively. In panel (c), four flat curves correspond to the phononic thermal conductance.

下载: 全尺寸图片幻灯片

图 5 电子输运系数和对应的投影局域态密度. (a1)和(a2), (b1)和(b2), (c1)和(c2), (d1)和(d2)分别对应着A3(31), A3(22), A3(21), A3(11)

Fig. 5. Electronic transmission coefficient and projected local density of states. (a1) and (a2), (b1) and (b2), (c1) and (c2), (d1) and (d2) correspond to A3(31), A3(22), A3(21), A3(11), respectively.

下载: 全尺寸图片幻灯片

图 6 $ {ZT}_{{\rm{m}}{\rm{a}}{\rm{x}}} $与温度T的关系

Fig. 6. $ {ZT}_{{\rm{m}}{\rm{a}}{\rm{x}}} $ versus the temperature T.

下载: 全尺寸图片幻灯片

图 7 (a) 电导$ G $和(b) 电子热导$ {\sigma }_{{\rm{e}}} $与化学势$ \mu $的关系. 实线、划线、双点划线、点划线分别对应着并三苯(N = 3)、并五苯(N = 5)、并七苯(N = 7)、并九苯(N = 9). 图(b)中插图表示的是温度为300 K时的声子热导

Fig. 7. (a) Electrical conductance and (b) electronic thermal conductance versus the versus the chemical potential $ \mu $. The solid, dashed, double-dot-dashed, and dot-dashed curves correspond to anthracene (N = 3), pentacene (N = 5), heptacene (N = 7), and nonacene (N = 9). The inset in (b) denotes the phononic thermal conductance at T = 300 K.

下载: 全尺寸图片幻灯片

图 8 (a) Seebeck系数和(b) 热电优值ZT与化学势$ \mu $的关系. 实线、划线、双点划线、点划线分别对应着并三苯(N = 3)、并五苯(N = 5)、并七苯(N = 7)、并九苯(N = 9)

Fig. 8. (a) Seebeck coefficient and (b) $ {ZT}_{{\rm{m}}{\rm{a}}{\rm{x}}} $versus the versus the chemical potential $ \mu $. The solid, dashed, double-dot-dashed, and dot-dashed curves correspond to anthracene (N = 3), pentacene (N = 5), heptacene (N = 7), and nonacene (N = 9), respectively.

下载: 全尺寸图片幻灯片

表 1 最大热电优值ZT($ {ZT}_{{\rm{m}}{\rm{a}}{\rm{x}}} $)对应的热电参数

Table 1. Thermoelectric parameters corresponding to the maximum of the thermoelectric figure of merit (ZT_max).

N	接触位置	$ {ZT}_{{\rm{m}}{\rm{a}}{\rm{x}}} $	G/mS	S/(mV·K^–1)	σ_p/(nW·K^–1)	σ_e/(nW·K^–1)	σ_p+σ_e/(nW·K^–1)
N = 3	(31)	0.34	0.012	–0.194	0.342	0.044	0.385
	(22)	0.09	0.037	0.065	0.264	0.246	0.510
	(21)	0.51	0.032	0.150	0.242	0.184	0.425
	(11)	0.16	0.046	0.085	0.336	0.293	0.630
N = 5	(31)	0.28	0.015	–0.155	0.314	0.076	0.390
	(22)	0.10	0.030	0.071	0.232	0.217	0.449
	(21)	0.32	0.010	0.174	0.231	0.052	0.283
	(11)	0.14	0.027	–0.092	0.311	0.171	0.483
N = 7	(31)	0.42	0.017	–0.178	0.305	0.080	0.385
	(22)	0.23	0.025	0.103	0.210	0.144	0.350
	(21)	0.44	0.012	0.183	0.221	0.053	0.274
	(11)	0.40	0.017	0.176	0.304	0.086	0.390
N = 9	(31)	0.41	0.023	0.149	0.301	0.069	0.370
	(22)	0.35	0.017	–0.141	0.205	0.086	0.291
	(21)	0.44	0.018	–0.155	0.217	0.076	0.293
	(11)	0.36	0.016	0.163	0.298	0.055	0.353

下载: 导出CSV

map

[1]	Wu C W, Ren X, Xie G, Zhou W X, Zhang G, Chen K Q 2022 Phys. Rev. Appl. 18 014053 Google Scholar
[2]	Jia P Z, Xie J P, Chen X K, Zhang Y, Yu X, Zeng Y J, Xie Z X, Deng Y X, Zhou W X 2023 J. Phys. Condens. Matter 35 073001 Google Scholar
[3]	Li N, Ren J, Wang L, Zhang G, Hanggi P, Li B 2012 Rev. Mod. Phys. 84 1045 Google Scholar
[4]	Su L, Wang D, Wang S, Qin B, Wang Y, Qin Y, Jin Y, Chang C, Zhao L D 2022 Science 375 1385 Google Scholar
[5]	陈晓彬, 段文晖 2015 64 186302 Google Scholar Chen X B, Duan W H 2015 Acta Phys. Sin. 64 186302 Google Scholar
[6]	Jia P Z, Xie Z X, Deng Y X, Zhang Y, Tang L M, Zhou W X, Chen K Q 2022 Appl. Phys. Lett. 121 043901 Google Scholar
[7]	余泽浩, 张力发, 吴靖, 赵云山 2023 72 057301 Google Scholar Yu Z H, Zhang L F, Wu J, Zhao Y S 2023 Acta Phys. Sin. 72 057301 Google Scholar
[8]	Shi X L, Zou J, Chen Z G 2020 Chem. Rev. 120 7399 Google Scholar
[9]	Wang T, Zhang C, Snoussi H, Zhang G 2020 Adv. Funct. Mater. 30 1906041 Google Scholar
[10]	Xie Q Y, Ma J J, Liu Q Y, Liu P F, Zhang P, Zhang K W, Wang B T 2022 Phys. Chem. Chem. Phys. 24 7303 Google Scholar
[11]	Zhou Z Z, Liu H J, Fan D D, Cao G H, Sheng C Y 2019 Phys. Rev. B 99 085410 Google Scholar
[12]	Deng L, Chen G M 2021 Nano Energy 80 105448 Google Scholar
[13]	Xie Z X, Tang L M, Pan C N, Li K M, Chen K Q, Duan W 2012 Appl. Phys. Lett. 100 073105 Google Scholar
[14]	Ouyang Y, Guo J 2009 Appl. Phys. Lett. 94 263107 Google Scholar
[15]	王艳, 陈南迪, 杨陈, 曾召益, 胡翠娥, 陈向荣 2021 70 116301 Google Scholar Wang Y, Chen N D, Chen Y, Zeng Z Y, Hu C E, Chen X R 2021 Acta Phys. Sin. 70 116301 Google Scholar
[16]	Jiang J W, Wang J S, Li B 2011 J. Appl. Phys. 109 014326 Google Scholar
[17]	Pan H, Tang L M, Chen K Q 2022 Phys. Rev. B 105 064401 Google Scholar
[18]	Pan H, Ding Z K, Zeng B W, Luo N N, Zeng J, Tang L M, Chen K Q 2023 Phys. Rev. B 107 104303 Google Scholar
[19]	Hicks L D, Dresselhaus M S 1993 Phys. Rev. B 47 12727 Google Scholar
[20]	宗志成, 潘东楷, 邓世琛, 万骁, 杨哩娜, 马登科, 杨诺 2023 72 034401 Google Scholar Zong Z C, Pan D K, Deng S C, Wan X, Yang L N, Ma D K, Yang N 2023 Acta Phys. Sin. 72 034401 Google Scholar
[21]	Markussen T, Jauho A P, Brandbyge M 2009 Phys. Rev. Lett. 103 055502 Google Scholar
[22]	Hochbaum A I, Chen R, Delgado R D, Liang W, Garnett E C, Najarian M, Majumdar A, Yang P 2008 Nature 451 163 Google Scholar
[23]	Chen I J, Burke A, Svilans A, Linke H, Thelander C 2018 Phys. Rev. Lett. 120 177703 Google Scholar
[24]	Ohnishi M, Shiga T, and Shiomi J 2017 Phys. Rev. B 95 155405 Google Scholar
[25]	Zhou G, Li L, Li G H 2010 Appl. Phys. Lett. 97 023112 Google Scholar
[26]	Dash A, Scheunemann D, Kemerink M 2022 Phys. Rev. Appl. 18 064022 Google Scholar
[27]	Huang N T, Nugraha A R T, Saito R 2019 Energies 12 4561 Google Scholar
[28]	Yang N X, Yan Q, Sun Q F 2020 Phys. Rev. B 102 245412 Google Scholar
[29]	Tang H, Wang X, Xiong Y, Zhao Y, Zhang Y, Zhang Y, Yang J, Xu D 2015 Nanoscale 7 6683 Google Scholar
[30]	Fan D D, Liu H J, Cheng L, Jiang P H, Shi J, Tang X F 2014 Appl. Phys. Lett. 105 133113 Google Scholar
[31]	Zberecki K, Wierzbicki M, Barnaś J, Swirkowicz R 2013 Phys. Rev. B 88 115404 Google Scholar
[32]	Liu W, Yan X, Chen G, Ren Z 2012 Nano Energy 1 42 Google Scholar
[33]	Tang J, Chen Y, McCuskey S R, Chen L, Bazan G C, Liang Z 2019 Adv. Electron. Mater. 5 1800943 Google Scholar
[34]	Foster S, Thesberg M, Neophytou N 2017 Phys. Rev. B 96 195425 Google Scholar
[35]	Huang W, Wang J S, Liang G 2011 Phys. Rev. B 84 045410 Google Scholar
[36]	Liang L, Cruz-Silva E, Girão E C, Meunier V 2012 Phys. Rev. B 86 115438 Google Scholar
[37]	Liang L, Meunier V 2013 Appl. Phys. Lett. 102 143101 Google Scholar
[38]	Sevinçli H, Cuniberti G 2010 Phys. Rev. B 81 113401 Google Scholar
[39]	Mazzamuto F, Nguyen V H, Apertet Y, Caër C, Chassat C, Martin J S, Dollfus P 2011 Phys. Rev. B 83 235426 Google Scholar
[40]	Karamitaheri H, Neophytou N, Pourfath M, Faez R, Kosina H 2012 J. Appl. Phys. 111 054501 Google Scholar
[41]	Anno Y, Imakita Y, Takei K, Akita S, Arie T 2017 2D Materials 4 025019 Google Scholar
[42]	Xiao H, Cao W, Ouyang T, Xu X, Ding Y C, Zhong J X 2018 Appl. Phys. Lett. 112 233107 Google Scholar
[43]	Dollfus P, Nguyen V H, Saint-Martin J 2015 J. Phys. Condens. Matter 27 133204 Google Scholar
[44]	Xu Y, Li Z, Duan W 2014 Small 10 2182 Google Scholar
[45]	Li D, Gong Y, Chen Y, Lin J, Khan Q, Zhang Y, Li Y, Zhang H, Xie H 2020 Nano-Micro Lett. 12 36 Google Scholar
[46]	Hippalgaonkar K, Wang Y, Ye Y, Qiu D Y, Zhu H, Wang Y, Moore J, Louie S G, Zhang X 2017 Phys. Rev. B 95 115407 Google Scholar
[47]	Zhu X L, Hou C H, Zhang P, Liu P F, Xie G F, Wang B T 2020 J. Phys. Chem. C 124 1812 Google Scholar
[48]	Zhang G, Zhang Y W 2017 J. Mater. Chem. C 5 7684 Google Scholar
[49]	Zhang G, Zhang Y W 2015 Mech. Mater. 91 382 Google Scholar
[50]	Zeng Y J, Wu D, Cao X H, Zhou W X, Tang L M, Chen K Q 2020 Adv. Funct. Mater. 30 1903873 Google Scholar
[51]	Zhou D, Zhang H, Zheng H, Xu Z, Xu H, Guo H, Li P, Tong Y, Hu B, Chen L 2022 Small 18 2200679 Google Scholar
[52]	Hurtado-Gallego J, Sangtarash S, Davidson R, et al. 2022 Nano Lett. 22 948 Google Scholar
[53]	Reddy P, Jang S Y, Segalman R A, Majumdar A 2007 Science 315 1568 Google Scholar
[54]	Miao R, Xu H, Skripnik M, Cui L, et al. 2018 Nano Lett. 18 5666 Google Scholar
[55]	Famili M, Grace I M, Al-Galiby Q, Sadeghi H, Lambert C J 2017 Adv. Funct. Mater. 28 1703135 Google Scholar
[56]	Bürkle M, Hellmuth T J, Pauly F, Asai Y 2015 Phys. Rev. B 91 165419 Google Scholar
[57]	Wu D, Cao X H, Chen S Z, Tang L M, Feng Y X, Chen K Q, Zhou W X 2019 J. Mater. Chem. A 7 19037 Google Scholar
[58]	Finch C, Garcia-Suarez V, Lambert C 2009 Phys. Rev. B 79 033405 Google Scholar
[59]	Klöckner J C, Cuevas J C, Pauly F 2017 Phys. Rev. B 96 24519 Google Scholar
[60]	Ratner M 2013 Nat. Nanotechnol. 8 378 Google Scholar
[61]	Hong G, Wu Q H, Ren J, Wang C, Zhang W, Lee S T 2013 Nano Today 8 388 Google Scholar
[62]	Zu F X, Gao G Y, Fu H H 2015 Appl. Phys. Lett. 107 252403 Google Scholar
[63]	Ni Y, Yao K L, Tang C Q, Gao G Y, Fu H H, Zhu S C 2014 RSC Adv. 4 18522 Google Scholar
[64]	Cao X H, Zhou W X, Chen C Y, Tang L M, Long M Q, Chen K Q 2017 Sci. Rep. 7 10842 Google Scholar
[65]	Wu D, Cao X H, Jia P Z, et al. 2020 Science. China-Phys. Mech. Astron. 63 276811 Google Scholar
[66]	Wang D, Tang L, Long M, Shuai Z 2011 J. Phys. Chem. C 115 5940 Google Scholar
[67]	Lederer J, Kaiser W, Mattoni A, Gagliardi A 2018 Adv. Theory Simul. 2 1800136 Google Scholar
[68]	Harada K, Sumino M, Adachi C, Tanaka S, Miyazaki K 2010 Appl. Phys. Lett. 96 253304 Google Scholar
[69]	Zhao W, Dai X, Liu L, Meng Q, Zou Y, Di C A, Zhu D 2021 Appl. Phys. Lett. 118 253302 Google Scholar
[70]	Krüger J, García F, Eisenhut F, et al. 2017 Angew. Chem. Int. Ed. 56 11945 Google Scholar
[71]	Chen X K, Hu X Y, Jia P, Xie Z X, Liu J 2021 Int. J. Mech. Sci. 206 106576 Google Scholar
[72]	Ying P, Liang T, Du Y, Zhang J, Zeng X, Zhong Z 2022 Int. J. Heat Mass Transfer 183 122060 Google Scholar
[73]	Xie Z X, Chen X K, Yu X, Deng Y X, Zhang Y, Zhou W X, Jia P Z 2023 Comput. Mater. Sci. 220 112041 Google Scholar
[74]	Wang J S, Wang J, Lü J T 2008 Eur. Phys. J. B 62 381 Google Scholar
[75]	Watanabe S, Ohno M, Yamashita Y, Terashige T, Okamoto H, Takeya J 2019 Phys. Rev. B 100 241201(R Google Scholar
[76]	Zhou J, Yang R 2011 Appl. Phys. Lett. 98 173107 Google Scholar
[77]	Cui L, Hur S, Akbar Z A, Klöckner J C, Jeong W, Pauly F, Jang S Y, Reddy P, Meyhofer E 2019 Nature 572 628 Google Scholar

[1]	赵俊, 姚璨, 曾晖. 新型正交相BN单层半导体有毒气体吸附性能及电输运性能的理论研究. , 2024, 73(12): 126802. doi: 10.7498/aps.73.20231621
[2]	郭琳, 杨小帆, 程二建, 泮炳霖, 朱楚楚, 李世燕. 三角晶格自旋液体候选材料NaYbSe₂在高压下的超导转变. , 2023, 72(15): 157401. doi: 10.7498/aps.72.20230730
[3]	申开波, 刘英光, 李鑫, 李亨宣. 石墨烯纳米网中的声子干涉效应. , 2023, 72(12): 123102. doi: 10.7498/aps.72.20230361
[4]	罗天麟, 丁亚飞, 韦宝杰, 杜建迎, 沈翔瀛, 朱桂妹, 李保文. 低维微纳尺度体系声子热传导和热调控: 来自芯片散热的非平衡统计物理问题. , 2023, 72(23): 234401. doi: 10.7498/aps.72.20231546
[5]	余泽浩, 张力发, 吴靖, 赵云山. 二维层状热电材料研究进展. , 2023, 72(5): 057301. doi: 10.7498/aps.72.20222095
[6]	吴成伟, 谢国锋, 周五星. 全固态锂离子电池内部热输运研究前沿. , 2022, 71(2): 026501. doi: 10.7498/aps.71.20211887
[7]	王浩林, 宗其军, 黄焱, 陈以威, 朱雨剑, 魏凌楠, 王雷. 二维原子晶体的转移堆叠方法及其高质量电子器件的研究进展. , 2021, 70(13): 138202. doi: 10.7498/aps.70.20210929
[8]	陈亚琦, 许华慨, 唐东升, 余芳, 雷乐, 欧阳钢. 单根SnO₂纳米线器件的电输运性能及其机理研究. , 2018, 67(24): 246801. doi: 10.7498/aps.67.20181402
[9]	齐伟华, 马丽, 李壮志, 唐贵德, 吴光恒. 金属价电子结构对磁性和电输运性质的影响. , 2017, 66(2): 027101. doi: 10.7498/aps.66.027101
[10]	张玺, 刘超飞, 王健. 低维超导的实验进展. , 2015, 64(21): 217405. doi: 10.7498/aps.64.217405
[11]	王保柱, 张秀清, 张奥迪, 周晓然, Bahadir Kucukgok, Na Lu, 肖红领, 王晓亮, Ian T. Ferguson. 金属有机物化学气相沉积生长GaN薄膜的室温热电特性研究. , 2015, 64(4): 047202. doi: 10.7498/aps.64.047202
[12]	白继元, 贺泽龙, 李立, 韩桂华, 张彬林, 姜平晖, 樊玉环. 两端线型双量子点分子Aharonov-Bohm干涉仪电输运. , 2015, 64(20): 207304. doi: 10.7498/aps.64.207304
[13]	董海明. 低温下二硫化钼电子迁移率研究. , 2013, 62(20): 206101. doi: 10.7498/aps.62.206101
[14]	张飞鹏, 张忻, 路清梅, 刘燕琴, 张久兴. Ca位置换Fe的氧化物Ca1-xFexMnO3(x=00.12)的制备及电输运性能. , 2011, 60(8): 087205. doi: 10.7498/aps.60.087205
[15]	丁磊, 王聪, 褚立华, 纳元元, 闫君. 反钙钛矿Mn3AX化合物的晶格、磁性和电输运性质的研究进展. , 2011, 60(9): 097507. doi: 10.7498/aps.60.097507
[16]	鲍志刚, 陈元平, 欧阳滔, 杨凯科, 钟建新. L型石墨纳米结的热输运. , 2011, 60(2): 028103. doi: 10.7498/aps.60.028103
[17]	张飞鹏, 张忻, 路清梅, 张久兴. Ca3－x AgxCo4O9(x=0—0.05)氧化物的电输运性能. , 2010, 59(6): 4211-4215. doi: 10.7498/aps.59.4211
[18]	宋超, 陈谷然, 徐骏, 王涛, 孙红程, 刘宇, 李伟, 陈坤基. 不同退火温度下晶化硅薄膜的电学输运性质. , 2009, 58(11): 7878-7883. doi: 10.7498/aps.58.7878
[19]	熊昌民, 孙继荣, 王登京, 沈保根. 厚度与应变效应对La0.67Ca0.33MnO3薄膜电输运与居里温度的影响. , 2004, 53(11): 3909-3915. doi: 10.7498/aps.53.3909
[20]	徐刚毅, 王天民, 何宇亮, 马智训, 郑国珍. 纳米硅薄膜的低温电输运机制. , 2000, 49(9): 1798-1803. doi: 10.7498/aps.49.1798

计量

文章访问数: 3802
PDF下载量: 85
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板