Possibility of Truly Multi-dimensional Scanning Tunneling Spectroscopy and Application on Superconductivity Problems

Jhinhwan Lee

In this presentation, I would like to discuss about what could possibly be the most stringent solution to the unresolved explanation to cuprate superconductivity based on a multi-dimensional scanning tunneling spectroscopy (a general term I created to stress the coverage of the multi-dimensional phase space by a variable temperature and variable magnetic-field spectroscopic-imaging scanning tunneling microscopy), a novel cross-sectional Fourier-transform scanning tunneling spectroscopy analysis and a full finite-temperature many-body Green’s function-based quantum-field theoretical simulation. The experimental technology is demonstrated in a recent experiment [Science 325, 1099 (2009)] which shows the QPI patterns of extremely uniform quality as a function of temperature spanning 0.1Tc ~ 1.5Tc of the strongly underdoped (Tc~37K) cuprate superconductor. This technology can also be used in the research on atomic scale order parameters for various phase transitions as demonstrated in the recent nematicity order parameter research [Nature 466, 347 (2010)]. I will further discuss what technological improvement is desirable for a truly multi-dimensional scanning tunneling spectroscopy and show recent development progress in a low temperature high magnetic field scanning tunneling microscopy facility.