Comments on the Knight Shift in Bismuth and Other<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-Band Diamagnetic Metals

Watson, R. E.; Bennett, L. H.; Carter, G. C.; Weisman, I. D.

doi:10.1103/physrevb.3.222

Cited by 29 publications

(10 citation statements)

References 39 publications

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“…We use the value n = 2.4 reported for lattice sites in Bi 2 Te 3 (20). The hyperfine coupling, which is a local probe of the electronic wavefunctions in the vicinity of implanted 8 Li + ions, is mediated by the strong SOC between the nuclei and the p-band carriers (11,16,21,22). The hyperfine constants are plotted in Fig.…”

Section: Resultsmentioning

confidence: 99%

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Nanoscale β-nuclear magnetic resonance depth imaging of topological insulators

Koumoulis

Morris

et al. 2015

Proc. Natl. Acad. Sci. U.S.A.

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Considerable evidence suggests that variations in the properties of topological insulators (TIs) at the nanoscale and at interfaces can strongly affect the physics of topological materials. Therefore, a detailed understanding of surface states and interface coupling is crucial to the search for and applications of new topological phases of matter. Currently, no methods can provide depth profiling near surfaces or at interfaces of topologically inequivalent materials. Such a method could advance the study of interactions. Herein, we present a noninvasive depth-profiling technique based on β-detected NMR (β-NMR) spectroscopy of radioactive 8 Li + ions that can provide "one-dimensional imaging" in films of fixed thickness and generates nanoscale views of the electronic wavefunctions and magnetic order at topological surfaces and interfaces. By mapping the 8 Li nuclear resonance near the surface and 10-nm deep into the bulk of pure and Cr-doped bismuth antimony telluride films, we provide signatures related to the TI properties and their topological nontrivial characteristics that affect the electronnuclear hyperfine field, the metallic shift, and magnetic order. These nanoscale variations in β-NMR parameters reflect the unconventional properties of the topological materials under study, and understanding the role of heterogeneities is expected to lead to the discovery of novel phenomena involving quantum materials.topological insulator | nuclear magnetic resonance | depth profiling | condensed matter physics | nanoscale physics T opological insulators (TIs) are narrow-gap semiconductor materials that are insulating in the bulk and conductive on their surface. The constituent atoms are typically heavy elements with large spin-orbit coupling (SOC). In time-reversal-invariant materials, the electronic structure of TIs is characterized by band inversions from strong SOC at an odd number of time-reversalinvariant momenta in the bulk Brillouin zone. Unlike metals or ordinary insulators (OIs), charge carriers in TIs evolve from metallic to insulating as a function of depth from the surface. The surface-state electrons are characterized by a suppression of backscattering and an intrinsic chirality of spin-momentum locking, making them of interest in spintronics. A number of theoretical predictions of experimental observations have been made including Majorana fermions, condensed-matter axions, and quantized Hall conductance (1, 2). Heterostructure engineering, where a crystal is formed consisting of a sequence of different building blocks (for example, alternating TI and OI layers), can trigger new physical phenomena such as TIs with enhanced bulk band gaps (3) or Weyl semimetals (4).Because topological materials are characterized by sharp changes in electronic properties at their surfaces and at interfaces with other materials, sensitive techniques are required to probe electronic and magnetic properties in a spatially resolved manner down to the atomic length scale. It has become clear that TI properties are spatially de...

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Section: Resultsmentioning

confidence: 99%

“…The Knight shift is an NMR parameter that probes the local polarization of conduction band electronic spins induced by an external field. The nuclear spins are coupled to the conduction band electrons through the hyperfine interaction, which is a measure of carrier density (11)(12)(13). Quantitative values of the Knight shift …”

Section: Resultsmentioning

confidence: 99%

Nanoscale β-nuclear magnetic resonance depth imaging of topological insulators

Koumoulis

Morris

et al. 2015

Proc. Natl. Acad. Sci. U.S.A.

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“…Negative Knight shifts in p-type semiconductors are classical cases of core polarization from pband carriers [31,[32][33][34][35][36]. The satellite peak amplitude increases with decreasing particle size [ Fig.…”

Section: Introductionmentioning

confidence: 99%

NMR Probe of Metallic States in Nanoscale Topological Insulators

et al. 2013

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A 125Te NMR study of bismuth telluride nanoparticles as a function of particle size revealed that the spin-lattice relaxation is enhanced below 33 nm, accompanied by a transition of NMR spectra from the single to the bimodal regime. The satellite peak features a negative Knight shift and higher relaxivity, consistent with core polarization from p-band carriers. Whereas nanocrystals follow a Korringa law in the range 140-420 K, micrometer particles do so only below 200 K. The results reveal increased metallicity of these nanoscale topological insulators in the limit of higher surface-to-volume ratios.

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“…Indeed, the positive shift with MgB 2 has been observed experimentally but found to be negative with AlB 2 [11]. One may add that negative Knight shifts were observed in a number of p-electron metals and intermetallic compounds [20] but no clear explanation was proposed. The interatomic effects arising from the spin polarization at neighboring B sites are mentioned as a possible source of the negative hyperfine field at the boron site in some TMB 2 borides [21].…”

Section: Resultsmentioning

confidence: 94%