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Charge density waves in low-dimensional material

Fan Jin-Ze Fang Zhan-Bo Luo Chao-Jie Zhang Hui

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Charge density waves in low-dimensional material

Fan Jin-Ze, Fang Zhan-Bo, Luo Chao-Jie, Zhang Hui
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  • Charge density waves (CDWs) have triggered off extensive research in low-dimensional systems. The discovery of CDW offers a new crucial clue to understanding the intrinsic mechanisms of low-dimensional electron-phonon coupling and electron correlation. In addition, the physical properties of low-dimensional material such as magnetism and superconductivity can be fine-tuned with accurately and effectively controlled CDW phase. At the beginning,we briefly introduce the basic properties of CDW in one-dimensional and quasi one-dimensional materials, revealing the physical proprieties of the CDW, for instance, the excited state and the manipulation technologies. Then, focusing on the CDW in a two-dimensional system, we mainly introduce the recent research progress and the generation mechanism of CDW of two-dimensional materials. The interaction between CDW and Mott insulator and between superconductivity and other orders such as spin density wave and pair density wave provide a new perspective to research the multi-electron collective excitation and electron interaction. The manipulation of multi-electron collective excitation and electron-phonon interaction in CDW through doping, high pressure and laser pulse is also introduced and shares similarity with the one-dimensional system. Finally, in this article we propose a potential research application of two dimensional CDW.
      Corresponding author: Zhang Hui, huiz@ustc.edu.cn
    • Funds: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0205004) and the National Natural Science Foundation of China (Grant Nos. 11804324, 12074357).
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  • 图 1  一维Peierls相变的基本原理 (a) 均匀排列的一维原子链示意图; (b) Peierls相变后的原子链示意图; (c) 发生Peierls相变前后的能带结构, 能带在kF处打开带隙[2]; (d) 一维、二维和三维自由电子气的Lindhard响应函数实部[4]; (e) 2kF处的声子软化过程[4]

    Figure 1.  Fundamentals of Peierls transition: (a) Diagram of uniformly arranged one-dimensional (1D) atomic chain; (b) diagram of the 1D atomic chain after Peierls transition; (c) band structure of the 1D atomic chain before and after Peierls transition, with a gap opening at kF[2]; (d) real part of Lindhard function for 1D, two-dimensional (2D) and three-dimensional (3D) free electron gas models[4]; (e) process of phonon softening at 2kF[4].

    图 2  (a) In-Si原子链在Peierls相变时的STM图, 插图是In-Si原子链相变前后的重构[39]; (b) In-Si原子链中存在的手性拓扑孤子的STM图[52]; (c) 缺陷调控的In-Si原子链金属相和绝缘相共存, 插图为缺陷密度对4×1相的面积分数的调控作用[58]; (d) MTB结构的示意图[62]; (e) 二维材料MoSe2中MTB的STM图[63]; (f) STS测量的二维材料MoSe2中MTB和畴中心的dI/dV[63]

    Figure 2.  (a) STM image of Peierls transition in In-Si atomic chain. Inset: 4×1 reconstruction before the Peierls transition and 8 × 2 reconstruction after the Peierls transition[39]. (b) STM image of chiral topological solitons in In-Si atomic chain[52]. (c) STM images of the coexistence of metallic phase and CDW phase in defect-rich In-Si atomic chain. Inset: manipulation of defect density on areal fraction of 4 × 1 phase[58]. (d) Diagram of MTB structure[62]. (e) STM image of MTB in 2D material MoSe2[63]. (f) dI/dV spectrum of MTB and domain center in 2D material MoSe2 measured by STS[63].

    图 3  常见二维材料的CDW性质, 数据来源于文献[68, 69].

    Figure 3.  CDW properties of 2D material, data from Ref. [68, 69].

    图 4  二维体系中CDW产生的几种机理图 (a) ARPES测量的单层VSe2费米面结构[71]; (b) 单层VSe2中的完美费米面嵌套[71]; (c) 通过非弹性X射线散射测量的不同温度下2H-NbSe2中电声子耦合导致的声子软化[84]; (d) ARPES测量的RbV3Sb5费米面结构, 在鞍点处有高态密度[80]; (e) 1T-TiSe2中Jahn-Teller畸变示意图[92]; (f) 1T-TiSe2中普通态和激子绝缘体的能带色散和光谱权重[94]

    Figure 4.  Several mechanisms of CDW transitions: (a) Fermi surface map of monolayer VSe2 measured by ARPES[71]; (b) perfect Fermi surface nesting of monolayer VSe2[71]; (c) phonon softening in 2H-NbSe2 at different temperature induced by Electron-phonon coupling, measured by inelastic X-ray scattering[84]; (d) Fermi surface map of RbV3Sb5 measured by ARPES with high density of state around saddle point[80]; (e) diagram of Jahn-Teller distortions in 1T-TiSe2[92]; (f) band dispersions and corresponding spectral weights of normal state and exciton insulator in 1T-TiSe2[94].

    图 5  (a) 1T-TaS2中的David星、CCDW、NCCDW示意图[97]; (b) 2H-NbS2中的1T层示意图, 每个David星中心都有一个未配对的局域磁矩[100]

    Figure 5.  (a) Diagrams of the Star of David pattern, CCDW, and NCCDW in 1T-TaS2[97]; (b) Diagram of the 1T layer in 2H-NbS2, each Star of David contains an unpaired magnetic moment localized in the center[100].

    图 6  二维体系中的CDW调控研究 (a) 1T-TaS2中电脉冲诱导金属镶嵌相的STM图像, 插图为金属镶嵌相中CCDW的David星构型, 未发生过改变[101]; (b) 光脉冲使1T-TaS2在CCDW和隐藏态之间切换, 插图为实验装置的示意图[104]; (c) 1T-TaS2中部分吸附水分子层的STM图像, 插图为STM图像的傅里叶变换, 存在 $ \sqrt{\text{13}}\times \sqrt{\text{13}} $ 和3×3两种CDW周期[109]; (d), (e) 单层的NbSe2/双层石墨烯和NbSe2/SrTiO3的STM图像[122]

    Figure 6.  CDW manipulation in 2D system: (a) STM image of metallic mosaic phase induced by voltage pulses in 1T-TaS2. Inset: unchanged David-star formation in CCDW of metallic mosaic phase[101]. (b) Switching between CCDW and hidden state induced by optical pulse in 1T-TaS2. Inset: diagram of experimental setup[104]. (c) STM image of partially water-adsorbed 1T-TaS2. Inset: Fourier transform images of STM topography showing two types of CDW periodicity including $ \sqrt{\text{13}}\times\sqrt{\text{13}} $ and 3×3[109]. (d), (e) STM images of monolayer NbSe2/BLG and NbSe2/SrTiO3(111) [122].

    图 7  CDW与Mott绝缘体的关系 (a) 1T-TaS2中电阻和CDW相随温度的变化, 插图为CCDW、三斜CDW、NCCDW、ICCDW的示意图[124]; (b), (c) STM测量的1T-TaS2和4Hb-TaS2中dI/dV谱的空间分布, 插图为1T-TaS2和4Hb-TaS2结构的示意图[126]; (d) 单层1T-NbSe2的STM图像, UHB的分布相对CDW有$\sqrt{\text{3}}\times\sqrt{\text{3}}$R30°的超结构[132]; (e) 单层1T-NbSe2中电荷转移绝缘体示意图[99]; (f) STS测量的单层1T-NbSe2的dI/dV[99]

    Figure 7.  Relationship between CDW and Mott insulators: (a) The changes of resistivity and CDW phase with respect to temperature in 1T-TaS2, where the insert is the diagram of CCDW, triclinic CDW, NCCDW and ICCDW[124]. (b), (c) Spatial distribution of dI/dV spectrum of 1T-TaS2 and 4Hb-TaS2 measured by STS. Insets are diagrams of their structure[126]. (d) STM image of monolayer 1T-NbSe2. The distribution of UHB shows $\sqrt{\text{3}}\times\sqrt{\text{3}}$ R30° superstructure with respect to CDW[132]. (e) Diagram of charge transfer insulator in monolayer 1T-NbSe2[99]. (f) dI/dV spectrum of 1T-NbSe2 measured by STS[99].

    图 8  超导与CDW的关系 (a) 1T-FexTaS2的相图[167]; (b) ARPES测量的不同掺杂下1T- FexTaS2的能量分布曲线, 在Γ点有电子口袋[167]; (c) Cu0.08TiSe2的STM图像, 插图为STM图的傅里叶变换[173]; (d) STS测量的Cu0.08TiSe2中CDW区域和畴壁的dI/dV[173]; (e) 电子辐照的2H-NbSe2中温度-剩余电阻率相图[162]

    Figure 8.  Relationship between CDW and superconductivity: (a) Phase diagram of 1T-FexTaS2[167]; (b) ARPES-measured energy distribution curves of 1T-FexTaS2 at different doping level showing an electron pocket at Γ point[167]; (c) STM topography of Cu0.08TiSe2, where the inset is the Fourier transform of STM image[173]; (d) STS-measured dI/dV spectra of CDW regions and domain walls in Cu0.08TiSe2[173]; (e) temperature-residual resistivity phase diagram of 2H-NbSe2 upon electron irradiation[162].

    图 9  (a) 2H-NbSe2中拉曼谱的CDW模式和超导模式随温度变化, 进入超导态后谱权重从CDW模式向超导模式中转移, 插图为减去8 K测量数据后的拉曼谱[213]; (b) 1T-TiSe2中STM图像的傅里叶变换[216]; (c) 图(b)中沿3个波矢方向的线截面[216]; (d) STS测量的不同磁场下RbV3Sb5中dI/dV图的傅里叶变换[223]

    Figure 9.  (a) Changes of CDW mode and SC mode of Raman spectra with respect to temperature in 2H-NbSe2 with spectral weight transfer from CDW mode to SC mode when going into SC state, inset: Raman spectra subtracted from the data measured at 8 K[213]; (b) Fourier transform of STS-measured dI/dV map in 1T-TiSe2[216]; (c) line profiles along three wave vectors of figure (b) [216]; (d) Fourier transform of STS image in RbV3Sb5 at different magnetic field[223].

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Metrics
  • Abstract views:  14001
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  • Cited By: 0
Publishing process
  • Received Date:  08 January 2022
  • Accepted Date:  12 February 2022
  • Available Online:  28 February 2022
  • Published Online:  20 June 2022

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