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Charge collective modes in an incommensurately modulated cuprate
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Charge collective modes in an incommensurately modulated cuprate
L. Wray,1 D. Qian,1 D. Hsieh,1 Y. Xia,1 H. Eisaki,2 and M.Z. Hasan1
1Department of Physics, Joseph Henry Laboratories of Physics, Princeton University, Princeton, NJ 08544
2Nanoelectronics Research Institute (NeRI), AIST, Central 2, Tsukuba, Ibaraki 305-8568, Japan
(Dated: February 3, 2008)
We report the first measurement of collective charge modes of insulating Sr14Cu24O41 using
inelastic resonant x-ray scattering over the complete Brillouin zone. Our results show that the
intense excitation modes at the charge gap edge predominantly originate from the ladder-containing
planar substructures. The observed ladder modes (E vs. Q) are found to be dispersive for momentum
transfers along the ”legs” ( ~Q ‖ c?) but nearly localized along the ”rungs” ( ~Q ‖ a?). Dispersion and
peakwidth characteristics are similar to the charge spectrum of 1D Mott insulators, and we show that
our results can be understood in the strong coupling limit (U ? tladder tchain). The observed
behavior is in marked contrast to the charge spectrum seen in most two dimensional cuprates.
Quite generally, our results also show that momentum-tunability of inelastic scattering can be used
to resolve mode contributions in multi-component incommensurate systems.
PACS numbers:
The evolution of charge dynamics with dimensional
cross-over is one of the most fundamental themes in
strongly correlated electron systems. For example, in 1D
systems electrons exhibit charge-spin separation [1] and
in 2D superconductivity appears upon doping [2]. The
electron behavior in materials with somewhat interme-
diate dimensionality is poorly understood but of great
current interest [3, 4, 5, 6, 7]. The doped cuprate com-
pound Sr14?xCaxCu24O41 series exhibits unusual quan-
tum magnetism, electron-phonon coupling, charge-order
and superconductivity under high
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