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  4. NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics

NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics

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Author(s)
Zhang, Wenxian
•
Cappellaro, Paola
•
Antler, Natania
•
Pepper, Brian
•
Cory, David G.
•
Dobrovitski, Viatcheslav V.
•
Ramanathan, Chandrasekhar
•
Viola, Lorenza
Date Issued
November 2009
Journal
Physical Review A
Publisher
American Physical Society
Citation
Zhang, Wenxian et al. “NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics.” Physical Review A 80.5 (2009): 052323. © 2009 The American Physical Society
Version
Final published version
Abstract
The [superscript 19]F spins in a crystal of fluorapatite have often been used to experimentally approximate a one-dimensional spin system. Under suitable multipulse control, the nuclear-spin dynamics may be modeled to first approximation by a double-quantum one-dimensional Hamiltonian, which is analytically solvable for nearest-neighbor couplings. Here, we use solid-state nuclear magnetic resonance techniques to investigate the multiple quantum coherence dynamics of fluorapatite, with an emphasis on understanding the region of validity for such a simplified picture. Using experimental, numerical, and analytical methods, we explore the effects of long-range intrachain couplings, cross-chain couplings, as well as couplings to a spin environment, all of which tend to damp the oscillations of the multiple quantum coherence signal at sufficiently long times. Our analysis characterizes the extent to which fluorapatite can faithfully simulate a one-dimensional quantum wire.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/52310
DOI of Published Version
http://dx.doi.org/10.1103/PhysRevA.80.052323
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