Operating a phase-locked loop controlling a high-Q tuning fork sensor for scanning force microscopy

Details Operating a phase-locked loop controlling a high-Q tuning fork sensor for scanning force microscopy Operating a phase-locked loop controlling a high-Q tuning fork sensor for scanning force microscopy

2001-12-21

arxiv.org/abs/cond-mat/0112415v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 8 figures

Scientific paper

The implementation of a tuning fork sensor in a scanning force microscope operational at 300 mK is described and the harmonic oscillator model of the sensor is motivated. These sensors exhibit very high quality factors at low temperatures. The nested feedback comprising the sensor, a phase locked loop and a conventional $z$-feedback is analyzed in terms of linear control theory and the dominant noise source of the system is identified. It is shown that the nested feedback has a low pass response and that the optimum feedback parameters for the phase-locked loop and the $z$-feedback can be determined from the knowledge of the tuning fork resonance alone regardless of the tip shape. The advantages of this system compared to pure phase control are discussed.

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