1. Field of the Invention
The present invention relates to a scanning probe microscope such as a scanning capacitance microscope (ScaM).
2. Description of the Related Art
A prior art scanning probe microscope includes a conductive probe unit which is constructed by a cantilever and a probe at its free end (see: JP-A-8-54403). The cantilever is adapted to be approximately in parallel with a surface of a sample, and the probe is in proximity to the surface of the sample. In this case, the cantilever associated with the probe is made of monocrystalline silicon covered by silicon oxide or silicon nitride and metal coated on the monocrystalline silicon. Thus, the cantilever serves as a spring. This will be explained later in detail.
In the above-described prior art scanning probe microscope, however, since the coated metal of the cantilever is so thin that the coated metal has a high impedance, i.e., a low conductivity, the sensitivity of a sensor connected to the probe is substantially decreased. Also, since the coated metal of the cantilever has a larger surface to create a large stray capacitance between the cantilever and the sample, a signal generated from the probe is suppressed by the large stray capacitance. Further, since the radius of curvature of the tip portion of the probe is large, the spatial resolution cannot be increased. In order to increase the spatial resolution, the coated metal has to be made thinner to decrease the radius of curvature of the tip portion thereof; however, this further increases the impedance of the coated metal. In addition, the coated metal is easily peeled off by the friction between the coated metal and the sample. Further, Joule heat generated stays at the tip portion of the probe to dissolve the coated metal at the tip portion of the probe. Thus, the conductivity of the coated metal is decreased.
It is an object of the present invention to provide a scanning probe microscope constructed by a conductive probe capable of having a low impedance, a small stray capacitance, a small radius of curvature at the tip portion thereof, and preventing the tip portion from being peeled off and dissolved.
Another object is to provide a scanning probe microscope capable of simply obtaining a concentration of majority carriers in equilibrium or a concentration of duponts in a semiconductor device.
Still another object is to provide a conductive probe for use in the above-mentioned scanning probe microscope.
According to the present invention, a probe for use in a scanning probe microscope includes a single conductive material having a sharp end. Also, a scanning probe microscope for a sample is constructed by a probe having a conductive sharp end; a moving unit for moving the sample along a Z-direction and moving the sample in X- and Y-directions; a vibrating unit for vibrating the probe along a direction approximately in parallel with a surface of the sample; a vibration detecting unit for detecting a vibration state of the probe; a signal detecting unit for detecting an electrical characteristic signal between the probe and the sample; a control unit for controlling an interaction between the probe and the sample so that the interaction is brought close to a predetermined definite level; and a voltage applying unit for applying an AC/DC voltage to the sample.
The present invention will be more clearly understood from the description set forth below, as compared with the prior art, with reference to the accompanying drawings, wherein:
Before the description of the preferred embodiments, a prior art scanning probe microscope will be explained with reference to
In
As illustrated in
As illustrated in
In the scanning probe microscope of
In the scanning probe microscope of
Also, since the cantilever 1031 has a larger surface of the metal layer 202 than that of the metal layer 202 of the probe 1031a to create a large stray capacitance between the cantilever 1031 and the sample 101, a capacitance signal generated from the probe 1031a is suppressed by the large stray capacitance. Thus, the signal to noise (S/N) ratio of the capacitance signal of the capacitance sensor 105 is deteriorated.
Further, since the radius of curvature of the tip portion of the probe 1031a is large, the spatial resolution cannot be increased. In order to increase the spatial resolution, the metal layer 202 has to be made thinner to decrease the radius of curvature of the tip portion thereof; however, this further increases the impedance of the metal layer 202.
In addition, since the metal layer 202 is coated on the monocrystalline silicon substrate 201, the metal layer 202 is easily peeled off by the friction between the metal layer 202 and the sample 101.
Further, when a DC current flows between the probe 1031a and the sample 101, Joule heat is generated and stays at the tip portion of the probe 1031a to dissolve the metal layer 202 at the tip portion of the probe 1031a. Thus, the conductivity of the metal layer 202 is decreased.
In
A conductive probe 3 is provided to be in proximity to the surface of the sample 1, The conductive probe 3 is constructed by about 20 to 100 μm-diameter metal wire made of W, Pt/Ir, Ni, Au or Ag and has a sharp end 3a. The sharp end 3a is formed by performing an electropolishing process upon the metal wire. In this case, the radius of curvature of the sharp end 3a is adjusted by the concentration of electrolysis, the applied voltage or the time period during which the metal wire is immersed into the electrolysis, so that the radius of curvature of the sharp end 3a is reproducibly realized. Note that an electrical discharge machining process can be used instead of the electropolishing process.
The conductive probe 3 is vibrated along the X-direction by a piezoelectric element 4 which is driven by an oscillator 5 whose frequency f0 is 30 to 60 kHz. In this case, the piezoelectric element 4 is electrically isolated from the conductive probe 3. When the conductive probe 3 is vibrated by the piezoelectric element 4, the conductive probe 3 is vibrated approximately at a resonant state thereof. Simultaneously, the conductive probe 3 generates a current signal due to the piezoelectric effect of the piezoelectric element 4 caused by the vibration of the conductive probe 3.
Also, a detector 6 is provided to detect the vibration state of the conductive probe 3, to generate a detection signal in response to the amplitude of the vibration of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f0 of the oscillator 5. The detector 6 is preferably in proximity to the piezoelectric element 4 or within the piezoelectric element 4. In order to effectively induce a resonant state on the conductive probe 3, the mass of the conductive probe 3 is preferably equivalent to that of the piezoelectric element 4. Also, if the piezoelectric element 4 has a natural resonant frequency as in a crystal oscillator, the conductive probe 3 is vibrated at this natural resonant frequency. In this case, in order not to deteriorate the resonance characteristics of the piezoelectric element 4, the mass of the conductive probe 3 is preferably as small as possible. A feedback control unit 9 is provided to receive the detection signal of the detector 6 and control the location Z of the sample 1 in accordance with the output signal of the detector 6, so that the amplitude of the vibration of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f0 of the oscillator 5 is brought close to a predetermined definite value. Thus, a feedback control using the detector 6 and the feedback control unit 9 is performed upon the distance between the sample 1 and the conductive probe 3.
Further, an AC voltage V whose frequency f1(>f0) is 20 kHz to 10 MHz is applied by a voltage modulation circuit 7 to the sample 1. In this case, the frequencies f0 and f1 are preset so as not to interfere with each other. Note that the voltage modulation circuit 7 can apply a DC voltage to the sample 1.
Additionally, a sensor 8, which is a capacitance sensor or a current sensor, is connected to the conductive probe 3 to detect a capacitance between the conductive probe 3 and the sample 1 or a current flowing therethrough.
In the scanning probe microscope of
Also, since the conductive probe 3 has a small surface against the sample 1 to create only a small stray capacitance between the conductive probe 3 and the sample 1, a signal generated from the sharp end 3a is hardly suppressed by the small stray capacitance. Thus, the S/N ratio of the sensor signal is not deteriorated.
Further, since the radius of curvature of the sharp end 3a is small, the spatial resolution can be increased.
In addition, since the conductive probe 3 associated with the sharp edge 3a is made of a single material such as W, Pt/Ir Ni, Au or Ag the sharp edge 3a is hardly peeled off from the conductive probe 3 by the friction between the sharp edge 3a and the sample 1.
Further, when a DC current flows between the sharp edge 3a and the sample 1, Joule heat is generated; however, this heat is immediately transferred to the body of the conductive probe 3. As a result, the sharp edge 3a is hardly dissolved. Thus, the conductivity of the conductive probe 3 is not decreased.
Embodiments of the present invention to which the principle of
In
In
In
Also, a computer 10 is provided for controlling the entire scanning probe microscope of
The capacitance sensor 8A generates a capacitance signal C relating to a capacitance between the conductive probe 3 and the sample 1. For example, if the sample 1 is constructed by a semiconductor device, the capacitance sensor 8A generates a capacitance signal C as shown in
A lock-in amplifier 14 detects a dC/dV signal from the capacitance signal C of the capacitance sensor 8A using the frequency f1 of the AC voltage of the voltage modulation circuit 7 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the conductive probe 3 using the scan circuit 11. Thus, the dC/dV signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a dC/dV image of the sample 1 is obtained by the computer 10 on a dC/dV display unit 15 as shown in FIG. 6B. In this case, if the sample 1 is a semiconductor device, the sign of the dC/dV signal indicates a polarity of dopants in a depletion region immediately below the conductive probe 3, and the absolute value of the dC/dV signal indicates the concentration of stationary charges in the above-mentioned depletion region.
As shown in
A lock-in amplifier 18 detects a d2C/dVdX signal from the signal dC/dX of the lock-in amplifier 16 using the frequency f1 of the AC voltage of the voltage modulation circuit 7 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the scan circuit 11. Thus, a d2C/dVdX signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a d2C/dVdX image of the sample 1 is obtained by the computer 10 on a d2C/dVdX display unit 19.
In
Note that the above-mentioned images can be simultaneously obtained by one scanning operation of the conductive probe 3 upon the sample 1.
In
Also, in
When the sample 1 is constructed by a monocrystalline silicon substrate 701 and a silicon oxide layer 702 formed thereon, as shown in
In a metal-oxide-semiconductor (MOS) structure as illustrated in
Ctotal=CaCo/(Ca+Co) (1)
Therefore,
dCtotal/dV=Co2/(Ca+Co)2·(dCs/dV) (2)
Since dCn/dV is dependent upon the concentration of majority carriers in equilibrium or the concentration of dopants, the concentration of majority carriers in equilibrium or the concentration of dopants can be estimated from a measured value of dCtotal/dV. However, since the formula (2) is complex and the capacitance Co of the silicon oxide layer 702 has to be obtained in advance, it is difficult to estimate the above-mentioned concentration from the formula (2).
The inventors have invented a technique for simply estimating the concentration of majority carriers in equilibrium or the concentration of dopants of the silicon substrate 701 of FIG. 7.
In
V=Vs+Vo (3)
Also, the capacitance Cs is dependent upon the concentration po of majority carriers in equilibrium and the voltage Va, i.e.,
Ca=Cs(Vs, po) (4)
Note that, if the silicon substrate 701 is of a p-type, po designates a hole concentration in equilibrium.
If Co is definite, from formulae (1) and (4),
∂Ctotal/∂V=(∂Ca(Vs, po)/∂V)·Co2/(Ca(Vs, po)+Co)2 (5)
∂Ctotal/∂X=(∂Ca(Vs, po)/∂X)·Co2/(Ca(Vs, po)+Co)2 (6)
In order to remove Co from formulae (5) and (6),
(∂Ctotal/∂X)/(∂Ctotal/∂V)=(∂Cs(Vs, po)/∂X)/(∂Cs(Vs, po)/∂V) (7)
Here, generally,
Cs(Vs, po)=|∂Qs/∂Vs| (8)
Qs=2εsεokT/eLD·((e−eVs/kT+eVs/kT−1)+no/po(eeVs/kT−eVs/kT−1))1/2 (9)
If the voltage V or Vs is small so as not to generate an inversion region in the silicon substrate 701,
Therefore, from formulae (8) and (9),
Cs(Vs, po)=(εaεo/LD)(kT/e)1/2Vs−1/2=εsεo(2εsεokT/poe2)−1/2(kT/e)1/2Vs−1/2 (10)
Also, the concentrations po and no in equilibrium are non-uniform along the X-direction, i.e.,
po=po(X) (11)
no=no(X) (12)
Therefore, from formulae (3), (7), (10), (11) and (12),
(∂Cs(Vs, po)/∂X)/(∂Cs(Va, po)/∂V)=(∂Cs(Vs, X)/∂X)/(∂Cs(Va, X)/∂Vs)=−Vnpo−1dpo/dX=−Vsd(ln po(X))/dX (13)
In the formula (13), Vs is definite while the conductive probe 3 is scanning. Therefore, information regarding the slope of concentration po of majority carriers in equilibrium with respect to the X-direction, i.e., information regarding po−1dpo/dX can be displayed as (dC/dX)/(dC/dV) by the computer 10 using a flowchart as shown in FIG. 8A. Also, information regarding ln po(X) can be displayed as an integration value of (dC/dX)/(dC/dV) with respect to the coordinate X by the computer 10 using a flowchart as shown in FIG. 8B.
On the other hand, the voltage V or Va is large so as to generate an inversion region in the silicon substrate 701,
Ca(Vs, X)=(e NA(X)εaεo/2)1/2Va− (14)
Even in the formula (15), Vs is definite while the conductive probe 3 is scanning. Therefore, information regarding the slope of concentration NA(X) of ionized acceptor impurities with respect to the X-direction, i.e., information regarding NA−1dNA(X)/dX can be displayed as (dC/dX)/(dC/dV) with respect to the coordinate X by the computer 10 using a flowchart as shown in FIG. 8A. Also, information lnNA(X) can be displayed by the computer 10 using a flowchart as shown in FIG. 8B.
In
In
In
Also, a computer 10 is provided for controlling the entire scanning probe microscope of
The current sensor 8B generates a current signal I relating to a current flowing through between the conductive probe 3 and the sample 1. Thus, the current signal I is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, the current flowing through the sample 1 using the current signal I is obtained by the computer 10 on the “I” display unit 13.
A lock-in amplifier 14′ detects a dI/dV signal from the current signal I of the current sensor 8B using the frequency f1 of the AC voltage of the voltage modulation circuit 7 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the conductive probe 3 using the scan circuit 11. Thus, the dI/dV signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a dI/dV image of the sample 1 is obtained by the computer 10 on a dI/dV display unit 15.
As shown in
A lock-in amplifier 18′ detects a d2I/dVdX signal from the signal dI/dX of the lock-in amplifier 16′ using the frequency f1 of the AC voltage of the voltage modulation circuit 7 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the scan circuit 11. Thus, a d2I/dVdX signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a d2I/dVdX image of the sample 1 is obtained by the computer 10 on a d2I/dVdX display unit 19.
In
Note that the above-mentioned images can be simultaneously obtained by one scanning operation of the conductive probe 3 upon the sample 1.
In
Also, in
In
In the above-described embodiments, the conductive probe 3 is made of metal, the conductive probe 3 can be made of silicon into which dopants are highly doped. In this case, the microscope can detect a change of the Q-value of the vibration of the conductive probe 3 due to the electrical interaction between the conductive probe 3 and the sample 1. Also, the above-mentioned images obtained by changing the temperature of the conductive probe 3 and the sample 1.
As explained hereinabove, according to the present invention, since the conductive probe has a low impedance, the sensitivity of the sensor is substantially decreased. Also, since the conductive probe has a small surface against the sample, the S/N ratio of the sensor signal is not deteriorated. Further, since the radius of curvature of the sharp end of the conductive probe is small, the spatial resolution can be increased. In addition, since the conductive probe associated with its sharp edge is formed by a single material, the sharp edge is hardly peeled off from the conductive probe by the friction between the sharp edge and the sample.
Further, since Joule heat is immediately transferred to the conductive probe, the sharp edge thereof is hardly dissolved, and thus, the conductivity of the conductive probe is not decreased.
Additionally, for the sample and the conductive probe can be easily accommodated in a small vacuum chamber or cryostat.
Also, in a scanning probe microscope according to the present invention, the conductive probe is vibrated in parallel with the surface of a sample at a frequency f0 and a detection system such as a capacitance sensor or a current sensor is connected to the conductive probe. Then, the output signal of the detection system is detected by using the frequency f0 or the like, various kinds of images showing the electrical characteristics of the sample can be obtained.
Further, if the sample is formed by a semiconductor device information regarding the concentration of majority carriers in equilibrium and the concentration of ionized dopants can be easily obtained.
Number | Date | Country | Kind |
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2000-317368 | Oct 2000 | JP | national |
Number | Name | Date | Kind |
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5990477 | Tomita | Nov 1999 | A |
6172506 | Adderton et al. | Jan 2001 | B1 |
6210982 | Williams et al. | Apr 2001 | B1 |
6257053 | Tomita et al. | Jul 2001 | B1 |
Number | Date | Country |
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04-238203 | Aug 1992 | JP |
07-229908 | Aug 1995 | JP |
A 8-54403 | Feb 1996 | JP |
08-248043 | Sep 1996 | JP |
09-329606 | Dec 1997 | JP |
10-064965 | Mar 1998 | JP |
10-082790 | Mar 1998 | JP |
10-282121 | Oct 1998 | JP |
11-038029 | Feb 1999 | JP |
2000-065716 | Mar 2000 | JP |
Number | Date | Country | |
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20020043101 A1 | Apr 2002 | US |