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

TitleNMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics
Publication TypeJournal Article
Year of Publication2009
AuthorsZhang WX, Cappellaro P, Antler N, Pepper B, Cory DG, Dobrovitski VV, Ramanathan C, Viola L
Journal TitlePhysical Review A
Volume80
Pages052323
Date Published11/01
ISBN Number1050-2947
Accession NumberISI:000272310000058
Keywordscalcium compounds, diamond, EXCITATION, line-shape, nuclear magnetic resonance, nuclear-magnetic-resonance, numerical analysis, quantum wires, qubits, solids, spin dynamics, spin hamiltonians, spin systems, temperature, TRANSITIONS
Abstract

The F-19 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.

URL<Go to ISI>://000272310000058
DOI10.1103/Physreva.80.052323