The k-space origins of scattering in Bi sub(2)Sr sub(2)CaCu sub(2)O sub(8+x)

We demonstrate a general, computer automated procedure that inverts the reciprocal space scattering data (q-space) that are measured by spectroscopic imaging scanning tunnelling microscopy (Sl-STM) in order to determine the momentum space (k-space) scattering structure. This allows a detailed examin...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2013-08, Vol.25 (33), p.1-17
Main Authors: Alldredge, Jacob W, Calleja, Eduardo M, Dai, Jixia, Eisaki, H, Uchida, S, McElroy, Kyle
Format: Article
Language:English
Subjects:
BISMUTH OXIDE
COMPUTER SIMULATION
Condensed matter
Dispersions
Doping
Excitation
Imaging
Origins
SCATTERING
SUPERCONDUCTORS
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Summary:We demonstrate a general, computer automated procedure that inverts the reciprocal space scattering data (q-space) that are measured by spectroscopic imaging scanning tunnelling microscopy (Sl-STM) in order to determine the momentum space (k-space) scattering structure. This allows a detailed examination of the k-space origins of the quasiparticle interference (QPI) pattern in Bi sub(2)Sr sub(2)CaCu sub(2)O sub(8+x) within the theoretical constraints of the joint density of states (JDOS). Our new method allows measurement of the differences between the positive and negative energy dispersions, the gap structure and an energy dependent scattering length scale. Furthermore, it resolves the transition between the dispersive QPI and the checkerboard (q*1 excitation). We have measured the k-space scattering structure over a wide range of doping (p ~ 0.22-0.08), including regions where the octet model is not applicable. Our technique allows the complete mapping of the k-space scattering origins of the spatial excitations in Bi sub(2)Sr sub(2)CaCu sub( 2)O sub(8+x), which allows for better comparisons between Sl-STM and other experimental probes of the band structure. By applying our new technique to such a heavily studied compound, we can validate our new general approach for determining the k-space scattering origins from Sl-STM data.
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/25/33/335601