【摘 要】
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In this work,we study the dissipation mechanism and frictional force of a nanometer-sized tip scanning a metal surface via a path integral approach.The metal,wi
【机 构】
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School of Physics, Zhengzhou University, Zhengzhou 450001, China;International Laboratory for Quantu
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In this work,we study the dissipation mechanism and frictional force of a nanometer-sized tip scanning a metal surface via a path integral approach.The metal,with internal degrees of freedom (c,c+) and a tip with an internal degree of freedom (d,d+) couple with one another by means of an exchanged potential,V.Having integrated out all internal degrees of freedom,we obtain the in-out amplitude.Moreover,we calculate the imaginary part of the in-out amplitude and the frictional force.We find the imaginary part of the in-out amplitude to be positive,and correlated to the sliding velocity in most cases.The frictional force is proportional to the sliding velocity for the case where v ＜ 0.01.However,for cases where v ＞ 0.01,the frictional force demonstrates nonlinear dependence on sliding velocity.
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