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Yu T, Luo R, Wang T, Zhang D, Liu W, Yu T, Liao Q. Enhancement of Casimir Friction between Graphene-Covered Topological Insulator. NANOMATERIALS (BASEL, SWITZERLAND) 2022; 12:1148. [PMID: 35407266 PMCID: PMC9000827 DOI: 10.3390/nano12071148] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/17/2022] [Revised: 03/14/2022] [Accepted: 03/28/2022] [Indexed: 11/26/2022]
Abstract
Casimir friction is theoretically studied between graphene-covered undoped bismuth selenide (Bi2Se3) in detail. In the graphene/Bi2Se3 composite structure, the coupling of the hyperbolic phonon polaritons supported by Bi2Se3 with the surface plasmons supported by graphene can lead to the hybrid surface plasmon-phonon polaritons (SPPPs). Compared with that between undoped Bi2Se3, Casimir friction can be enhanced by more than one order of magnitude due to the contribution of SPPPs. It is found that the chemical potential that can be used to modulate the optical characteristic of SPPPs plays an important role in Casimir friction. In addition, the Casimir friction between doped Bi2Se3 is also studied. The friction coefficient between doped Bi2Se3 can even be larger than that between graphene-covered undoped Bi2Se3 for suitable chemical potential due to the contribution of unusual electron surface states. The results obtained in this work are not only beneficial to the study of Casimir frictions but also extend the research ranges of topological insulators.
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Affiliation(s)
| | | | - Tongbiao Wang
- Department of Physics, Nanchang University, Nanchang 330031, China; (T.Y.); (R.L.); (D.Z.); (W.L.); (T.Y.); (Q.L.)
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Wang TB, Zhou Y, Mu HQ, Shehzad K, Zhang DJ, Liu WX, Yu TB, Liao QH. Enhancement of lateral Casimir force on a rotating particle near hyperbolic metamaterial. NANOTECHNOLOGY 2022; 33:245001. [PMID: 35235909 DOI: 10.1088/1361-6528/ac59e6] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/13/2022] [Accepted: 03/01/2022] [Indexed: 06/14/2023]
Abstract
Enhancement of weak Casimir forces is extremely important for their practical detection and subsequent applications in variety of scientific and technological fields. We study the lateral Casimir forces acting on the rotating particles with small radius of 50 nm as well as that with large radius of 500 nm near the hyperbolic metamaterial made of silicon carbide (SiC) nanowires. It is found that the lateral Casimir force acting on the small particle of 50 nm near hyperbolic metamaterial with appropriate filling fraction can be enhanced nearly four times comparing with that acting on the same particle near SiC bulk in the previous study. Such enhancement is caused by the coupling between the resonance mode excited by nanoparticle and the hyperbolic mode supported by hyperbolic metamaterial. The results obtained in this study provide an efficient method to enhance the interaction of nanoscale objects.
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Affiliation(s)
- Tong-Biao Wang
- Department of Physics, Nanchang University, Nanchang 330031, People's Republic of China
| | - Ying Zhou
- Department of Physics, Nanchang University, Nanchang 330031, People's Republic of China
| | - Hong-Qian Mu
- Department of Physics, Nanchang University, Nanchang 330031, People's Republic of China
| | - Khurram Shehzad
- College of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, People's Republic of China
| | - De-Jian Zhang
- Department of Physics, Nanchang University, Nanchang 330031, People's Republic of China
| | - Wen-Xing Liu
- Department of Physics, Nanchang University, Nanchang 330031, People's Republic of China
| | - Tian-Bao Yu
- Department of Physics, Nanchang University, Nanchang 330031, People's Republic of China
| | - Qing-Hua Liao
- Department of Physics, Nanchang University, Nanchang 330031, People's Republic of China
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Poggio M, Degen CL. Force-detected nuclear magnetic resonance: recent advances and future challenges. NANOTECHNOLOGY 2010; 21:342001. [PMID: 20671365 DOI: 10.1088/0957-4484/21/34/342001] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Abstract
We review recent efforts to detect small numbers of nuclear spins using magnetic resonance force microscopy. Magnetic resonance force microscopy (MRFM) is a scanning probe technique that relies on the mechanical measurement of the weak magnetic force between a microscopic magnet and the magnetic moments in a sample. Spurred by the recent progress in fabricating ultrasensitive force detectors, MRFM has rapidly improved its capability over the last decade. Today it boasts a spin sensitivity that surpasses conventional, inductive nuclear magnetic resonance detectors by about eight orders of magnitude. In this review we touch on the origins of this technique and focus on its recent application to nanoscale nuclear spin ensembles, in particular on the imaging of nanoscale objects with a three-dimensional (3D) spatial resolution better than 10 nm. We consider the experimental advances driving this work and highlight the underlying physical principles and limitations of the method. Finally, we discuss the challenges that must be met in order to advance the technique towards single nuclear spin sensitivity-and perhaps-to 3D microscopy of molecules with atomic resolution.
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Affiliation(s)
- M Poggio
- Department of Physics, University of Basel, Basel, Switzerland
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Yazdanian SM, Hoepker N, Kuehn S, Loring RF, Marohn JA. Quantifying electric field gradient fluctuations over polymers using ultrasensitive cantilevers. NANO LETTERS 2009; 9:2273-9. [PMID: 19435337 PMCID: PMC2838734 DOI: 10.1021/nl9004332] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
An ultrasensitive cantilever, oscillating parallel to a surface in vacuum, is used to probe weak thermal electric field gradient fluctuations over thin polymer films. We measure the power spectrum of cantilever frequency fluctuations as a function of cantilever height and voltage over polymers of various compositions and thicknesses. The data are well described by a linear-response theory that calculates stochastic electric fields arising from thermally driven dielectric fluctuations.
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Affiliation(s)
- Showkat M. Yazdanian
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301
| | - Nikolas Hoepker
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853
| | - Seppe Kuehn
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301
| | - Roger F. Loring
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301
| | - John A. Marohn
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301
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Yazdanian SM, Marohn JA, Loring RF. Dielectric fluctuations in force microscopy: noncontact friction and frequency jitter. J Chem Phys 2008; 128:224706. [PMID: 18554042 DOI: 10.1063/1.2932254] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Electric force microscopy, in which a charged probe oscillates tens to hundreds of nanometers above a sample surface, provides direct mechanical detection of relaxation in molecular materials. Noncontact friction, the damping of the probe's motions, reflects the dielectric function at the resonant frequency of the probe, while fluctuations in the probe frequency are induced by slower molecular motions. We present a unified theoretical picture of both measurements, which relates the noncontact friction and the power spectrum of the frequency jitter to dielectric properties of the sample and to experimental geometry. Each observable is related to an equilibrium correlation function associated with electric field fluctuations, which is determined by two alternative, complementary strategies for a dielectric continuum model of the sample. The first method is based on the calculation of a response function associated with the polarization of the dielectric by a time-varying external charge distribution. The second approach employs a stochastic form of Maxwell's equations, which incorporate a fluctuating electric polarization, to compute directly the equilibrium correlation function in the absence of an external charge distribution. This approach includes effects associated with the propagation of radiation. In the experimentally relevant limit that the tip-sample distance is small compared to pertinent wavelengths of radiation, the two methods yield identical results. Measurements of the power spectrum of frequency fluctuations of an ultrasensitive cantilever together with measurements of the noncontact friction over a poly(methylmethacrylate) film are used to estimate the minimum experimentally detectable frequency jitter. The predicted jitter for this polymer is shown to exceed this threshold, demonstrating the feasibility of the measurement.
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Affiliation(s)
- Showkat M Yazdanian
- Department of Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, New York 14853, USA
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Abstract
The invention and initial demonstration of magnetic resonance force microscopy (MRFM) in the early 1990s launched a renaissance of mechanical approaches to detecting magnetic resonance. This article reviews progress made in MRFM in the last decade, including the demonstration of scanned probe detection of magnetic resonance (electron spin resonance, ferromagnetic resonance, and nuclear magnetic resonance) and the mechanical detection of electron spin resonance from a single spin. Force and force-gradient approaches to mechanical detection are reviewed and recent related work using attonewton sensitivity cantilevers to probe minute fluctuating electric fields near surfaces is discussed. Given recent progress, pushing MRFM to single proton sensitivity remains an exciting possibility. We will survey some practical and fundamental issues that must be resolved to meet this challenge.
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Affiliation(s)
- Seppe Kuehn
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853, USA
| | - Steven A. Hickman
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853, USA
| | - John A. Marohn
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853, USA
- Kavli Institute at Cornell for Nanoscale Science, Cornell University, Ithaca, New York 14853, USA
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Abstract
Dielectric fluctuations are shown to be the dominant source of noncontact friction in high-sensitivity scanning probe microscopy of dielectric materials. Recent measurements have directly determined the friction acting on custom-fabricated single-crystal silicon cantilevers whose capacitively charged tips are located 3-200 nm above thin films of poly(methyl methacrylate), poly(vinyl acetate), and polystyrene. Differences in measured friction among these polymers are explained here by relating electric field fluctuations at the cantilever tip to dielectric relaxation of the polymer.
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Affiliation(s)
- Seppe Kuehn
- Department of Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, New York 14853, USA
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Kuehn S, Loring RF, Marohn JA. Dielectric fluctuations and the origins of noncontact friction. PHYSICAL REVIEW LETTERS 2006; 96:156103. [PMID: 16712172 PMCID: PMC1941717 DOI: 10.1103/physrevlett.96.156103] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/13/2006] [Indexed: 05/09/2023]
Abstract
Dielectric fluctuations underlie a wide variety of physical phenomena, from ion mobility in electrolyte solutions and decoherence in quantum systems to dynamics in glass-forming materials and conformational changes in proteins. Here we show that dielectric fluctuations also lead to noncontact friction. Using high sensitivity, custom fabricated, single crystal silicon cantilevers we measure energy losses over poly(methyl methacrylate), poly(vinyl acetate), and polystyrene thin films. A new theoretical analysis, relating noncontact friction to the dielectric response of the film, is consistent with our experimental observations. This work constitutes the first direct, mechanical detection of noncontact friction due to dielectric fluctuations.
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Affiliation(s)
- Seppe Kuehn
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301, USA
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Volokitin AI, Persson BNJ. Adsorbate-induced enhancement of electrostatic noncontact friction. PHYSICAL REVIEW LETTERS 2005; 94:086104. [PMID: 15783908 DOI: 10.1103/physrevlett.94.086104] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2004] [Indexed: 05/24/2023]
Abstract
We study the noncontact friction between an atomic force microscope tip and a metal substrate in the presence of bias voltage. The friction is due to energy losses in the sample created by the electromagnetic field from the oscillating charges induced on the tip surface by the bias voltage. We show that the friction can be enhanced by many orders of magnitude if the adsorbate layer can support acoustic vibrations. The theory predicts the magnitude and the distance dependence of friction in good agreement with recent puzzling noncontact friction experiment [B. C. Stipe, H. J. Mamin, T. D. Stowe, T. W. Kenny, and D. Rugar, Phys. Rev. Lett. 87, 096801 (2001).]. We demonstrate that even an isolated adsorbate can produce high enough friction to be measured experimentally.
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Affiliation(s)
- A I Volokitin
- Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Germany
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Hoppe S, Ctistis G, Paggel JJ, Fumagalli P. Spectroscopy of the shear force interaction in scanning near-field optical microscopy. Ultramicroscopy 2005; 102:221-6. [PMID: 15639353 DOI: 10.1016/j.ultramic.2004.10.002] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/24/2004] [Revised: 09/25/2004] [Accepted: 10/12/2004] [Indexed: 11/25/2022]
Abstract
Shear force detection is a common method of tip-sample distance control in scanning near-field optical microscopy. Shear force is the force acting on a laterally oscillating probe tip near a surface. Despite its frequent use, the nature of the interaction between tip and sample surface is a matter of debate. In order to investigate the problem, approach curves, i.e. amplitude and phase of the tip oscillation as a function of the tip-sample distance, are studied in terms of a harmonic oscillator model. The extracted force and damping constants are influenced by the substrate material. The character of the interaction ranges from elastic to dissipative. The interaction range is of atomic dimensions with a sharp onset. Between a metal-coated tip and a Cu sample, a power law for the force-distance curve is observed.
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Affiliation(s)
- Stefan Hoppe
- Freie Universität Berlin, Institut für Experimentalphysik, Arnimallee 14, 14195 Berlin, Germany
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Jänsch HJ, Gerhard P, Koch M. 129Xe on Ir(111): NMR study of xenon on a metal single crystal surface. Proc Natl Acad Sci U S A 2004; 101:13715-9. [PMID: 15361579 PMCID: PMC518822 DOI: 10.1073/pnas.0405426101] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
NMR experiments of (129)Xe adsorbed on an iridium single crystal surface are reported. Very high nuclear polarization (P(z) approximately 0.7) makes the experiment possible. A coverage of less then one monolayer is investigated on the Ir(111) surface with an area of 0.8 cm(2). The observed resonance line shifts are very large and highly anisotropic. We find sigma(iso) = 1,032 +/- 11 ppm and sigma(an) = 291 +/- 33 ppm, which are far above the typical range of physisorption. The highly ordered substrate leads to homogeneous conditions for the xenon atoms, as seen in the narrow linewidth of 20 ppm. Chemical shifts under physisorption conditions are not large enough to totally explain the results. Knight shift can clearly be identified as the cause of the findings. This shift shows the presence of conduction electrons of the metallic substrate at the xenon nucleus and thus the mixing of metallic and atomic states at the Fermi level. Such mixing is in accordance with recent Hartree-Fock and density functional calculations of similar van der Waals adsorption systems. Quantitative comparisons, however, fail completely. The size and ratio of sigma(an) and sigma(iso) are pure ground-state properties in a structurally simple system. They are accessible to theory and provide detailed local information that can serve as a benchmark for theory.
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Affiliation(s)
- H J Jänsch
- Department of Physics and Center for Materials Science, Philipps Universität Marburg, 35032 Marburg, Germany.
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