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Pan Z, Yang L, Tao Y, Zhu Y, Xu YQ, Mao Z, Li D. Net negative contributions of free electrons to the thermal conductivity of NbSe 3 nanowires. Phys Chem Chem Phys 2020; 22:21131-21138. [PMID: 32959836 DOI: 10.1039/d0cp03484c] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Understanding transport mechanisms of electrons and phonons, two major energy carriers in solids, are crucial for various engineering applications. It is widely believed that more free electrons in a material should correspond to a higher thermal conductivity; however, free electrons also scatter phonons to lower the lattice thermal conductivity. The net contribution of free electrons has been rarely studied because the effects of electron-phonon (e-ph) interactions on lattice thermal conductivity have not been well investigated. Here an experimental study of e-ph scattering in quasi-one-dimensional NbSe3 nanowires is reported, taking advantage of the spontaneous free carrier concentration change during charge density wave (CDW) phase transition. Contrary to the common wisdom that more free electrons would lead to a higher thermal conductivity, results show that during the depinning process of the condensed electrons, while the released electrons enhance the electronic thermal conductivity, the overall thermal conductivity decreases due to the escalated e-ph scattering. This study discloses how competing effects of free electrons result in unexpected trends and provides solid experimental data to dissect the contribution of e-ph scattering on lattice thermal conductivity. Lastly, an active thermal switch design is demonstrated based on tuning electron concentration through electric field.
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Affiliation(s)
- Zhiliang Pan
- Department of Mechanical Engineering, Vanderbilt University, Nashville, TN 37235, USA.
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2
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Geil EC, Thorne RE. Spatially resolved transient dynamics of charge density waves in NbSe(3). PHYSICAL REVIEW LETTERS 2015; 114:016404. [PMID: 25615486 DOI: 10.1103/physrevlett.114.016404] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/25/2014] [Indexed: 06/04/2023]
Abstract
We have developed methods for acquiring temporally and spatially resolved spectrograms of the velocity of sliding charge-density waves (CDWs), allowing unprecedented access to CDW dynamics. Complex transients arising from the interplay between elastic and plastic processes occur when the driving field direction is reversed. A transient spectral component due to shear elasticity can be unambiguously identified, and allows the most direct determination to date of the CDW's shear elastic modulus. Near current contacts, initially elastic displacements are followed by an elastic-to-plastic transition. A simple model provides a semiquantitative account of many aspects of these transients.
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Affiliation(s)
- E C Geil
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
| | - R E Thorne
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
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Sengupta S, Samudrala N, Singh V, Thamizhavel A, Littlewood PB, Tripathi V, Deshmukh MM. Plasmon mode modifies the elastic response of a nanoscale charge density wave system. PHYSICAL REVIEW LETTERS 2013; 110:166403. [PMID: 23679627 DOI: 10.1103/physrevlett.110.166403] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/13/2012] [Indexed: 06/02/2023]
Abstract
The elastic response of suspended NbSe(3) nanowires is studied across the charge density wave phase transition. The nanoscale dimensions of the resonator lead to a large resonant frequency (~10-100 MHz), bringing the excited phonon frequency in close proximity of the plasmon mode of the electronic condensate-a parameter window not accessible in bulk systems. The interaction between the phonon and plasmon modes strongly modifies the elastic properties at high frequencies. This is manifested in the nanomechanics of the system as a sharp peak in the temperature dependence of the elastic modulus (relative change of 12.8%) in the charge density wave phase.
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Affiliation(s)
- Shamashis Sengupta
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Mumbai 400005, India.
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Isakovic AF, Evans PG, Kmetko J, Cicak K, Cai Z, Lai B, Thorne RE. Shear modulus and plasticity of a driven charge density wave. PHYSICAL REVIEW LETTERS 2006; 96:046401. [PMID: 16486854 DOI: 10.1103/physrevlett.96.046401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2005] [Indexed: 05/06/2023]
Abstract
We have probed the effects of transverse variations in pinning strength on charge-density-wave (CDW) structure in NbSe3 by x-ray micro-beam diffraction. In ribbonlike crystals having a large longitudinal step in thickness, the CDW first depins on the thick side of the step, causing rotations of the CDW wave vector. By measuring these rotations as a function of position and electric field, the corresponding shear strains are determined, allowing the CDW's shear modulus to be estimated. These results demonstrate the usefulness of x-ray microdiffraction as a tool in studying collective dynamics in electronic crystals.
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Affiliation(s)
- A F Isakovic
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
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O'Neill K, Cicak K, Thorne RE. Measurement of the shear strength of a charge density wave. PHYSICAL REVIEW LETTERS 2004; 93:066601. [PMID: 15323647 DOI: 10.1103/physrevlett.93.066601] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/03/2003] [Indexed: 05/24/2023]
Abstract
We have explored the shear plasticity of charge density waves (CDWs) in NbSe3 samples with cross sections having a single microfabricated thickness step. Shear stresses along the step result from thickness-dependent CDW pinning. For small thickness differences the CDW depins elastically at the volume average depinning field. For large thickness differences the thicker, more weakly pinned side depins first via plastic shear, and shear plasticity contributes substantial dissipation well above the depinning field. A simple model describes the qualitative features of our data and yields a value for the CDW's shear strength of approximately 9.5 x 10(3) Nm(-2). This value is orders of magnitude smaller than the CDW's longitudinal modulus but much larger than corresponding values for flux line lattices, and in part explains the relative coherence of the CDW response.
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Affiliation(s)
- K O'Neill
- Laboratory of Atomic and Solid State Physics, Clark Hall, Cornell University, Ithaca, New York 14853-2501, USA
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Interactions of Sliding Charge-Density Waves with Phonons. J SOLID STATE CHEM 2000. [DOI: 10.1006/jssc.2000.8909] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Virosztek A, Maki K. Sound propagation in density wave conductors and the effect of long-range Coulomb interaction. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:3741-3745. [PMID: 9983924 DOI: 10.1103/physrevb.53.3741] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Bloom I, Marley AC, Weissman MB. Discrete fluctuators and broadband noise in the charge-density wave in NbSe3. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:5081-5088. [PMID: 9976845 DOI: 10.1103/physrevb.50.5081] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Bloom I, Marley AC, Weissman MB. Nonequilibrium dynamics of discrete fluctuators in charge-density waves in NbSe3. PHYSICAL REVIEW LETTERS 1993; 71:4385-4388. [PMID: 10055233 DOI: 10.1103/physrevlett.71.4385] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Maclean D, Simpson A, Jericho MH. Static Young's modulus obtained by dilatometry on TaS3 in the drifting charge-density-wave state. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:12117-12120. [PMID: 10003122 DOI: 10.1103/physrevb.46.12117] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hardner HT, Marley AC, Weissman MB, Thorne RE. Charge-density-wave memory loss under ac bias in NbSe3. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:9833-9836. [PMID: 10002807 DOI: 10.1103/physrevb.46.9833] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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12
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Xu ZG, Brill JW. Relaxation and elastic anomalies in charge-density-wave conductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:3953-3961. [PMID: 10002005 DOI: 10.1103/physrevb.45.3953] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Marley AC, Weissman MB, Jacobsen RL, Mozurkewich G. Vector symmetry of fluctuations in nonlinear charge-density-wave conductance. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:8353-8356. [PMID: 9998780 DOI: 10.1103/physrevb.44.8353] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Jacobsen RL, Weissman MB, Mozurkewich G. Elastic effects of an ac-driven charge-density wave in TaS3. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:13198-13205. [PMID: 9997144 DOI: 10.1103/physrevb.43.13198] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Xu ZG, Brill JW. Uniaxial-strain dependence of shear-modulus anomalies in TaS3. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:11037-11042. [PMID: 9996837 DOI: 10.1103/physrevb.43.11037] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Tritt TM, Skove MJ, Ehrlich AC. Change in Young's modulus at low frequency upon charge-density-wave depinning in TaS3. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:9972-9975. [PMID: 9996708 DOI: 10.1103/physrevb.43.9972] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Mozurkewich G. Phase-relaxation interpretation of elastic softening induced by sliding charge-density waves. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:11183-11188. [PMID: 9995400 DOI: 10.1103/physrevb.42.11183] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Virosztek A, Maki K. Sound propagation in charge- and spin-density waves. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:7055-7060. [PMID: 9992962 DOI: 10.1103/physrevb.41.7055] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Xiang X, Brill JW. Frequency dependence of elastic anomalies in charge-density-wave conductors. PHYSICAL REVIEW LETTERS 1989; 63:1853-1856. [PMID: 10040690 DOI: 10.1103/physrevlett.63.1853] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Jacobsen RL, Mozurkewich G. Effects of irradiation on elastic properties of TaS3. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:10913-10917. [PMID: 9947902 DOI: 10.1103/physrevb.39.10913] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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