Abstract
In the spin-Peierls compound ${\mathrm{CuGeO}}_{3}$, the commensurate-incommensurate transition concerning the modulation of atomic position and the local spin polarization is fully monitored (at $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}4\mathrm{K}$ $\ensuremath{\simeq}$ zero- $T$ limit) by the application of an external magnetic field $(H)$ above a threshold value ${H}_{c}\ensuremath{\simeq}13\mathrm{T}$. The solitonic profile of the spin polarization, as well as its absolute magnitude, has been precisely imaged from ${}^{65}\mathrm{Cu}$ NMR line shapes obtained for $h\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}({H\ensuremath{-}H}_{c})/{H}_{c}$ varying from 0.0015 to 1. This offers a unique possibility to test quantitatively the various numerical and analytical methods developed to solve a generic Hamiltonian in 1D physics, namely strongly interacting fermions in the presence of electron-phonon coupling at arbitrary band filling.
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