Simulation of the Impedance Response of Thin Films As a Function of Film Conductivity and Thickness

Using parametric finite element simulations, film conductivities were varied in order to understand the role of film properties and geometry on nanoscale dielectric and spectroscopy measurements. The quasi-static forms of Maxwell’s electromagnetic equations in time harmonic mode were solved using COMSOL Multiphysics 4.4. The calculations were performed for a wide range of electrode size, film thickness and film conductivities to understand the interaction among these important parameters. Film and substrate interactions occurred in some cases. It is shown that equivalent circuit modelling can be used to describe the trends seen. This work highlights some of the factors that become important in the measurement and correct interpretation of dielectric properties of thin films and / or micro/nanoscale structures.

[1]  Francesco Ciucci,et al.  Modeling the impedance response of mixed-conducting thin film electrodes. , 2014, Physical chemistry chemical physics : PCCP.

[2]  G. Gomila,et al.  Calibrated complex impedance and permittivity measurements with scanning microwave microscopy , 2014, Nanotechnology.

[3]  G. Gomila,et al.  Label-free identification of single dielectric nanoparticles and viruses with ultraweak polarization forces. , 2012, Nature materials.

[4]  R. Gerhardt,et al.  Role of geometric parameters in electrical measurements of insulating thin films deposited on a conductive substrate , 2012 .

[5]  Detection of percolating paths in polyhedral segregated network composites using electrostatic force microscopy and conductive atomic force microscopy , 2009 .

[6]  F. Kienberger,et al.  Nanoscale materials and device characterization via a scanning microwave microscope , 2009, 2009 IEEE International Conference on Microwaves, Communications, Antennas and Electronics Systems.

[7]  Surajit Kumar,et al.  Electrical Characterization of Thin Films at the Nanoscale , 2009 .

[8]  Giorgio Ferrari,et al.  Quantitative nanoscale dielectric microscopy of single-layer supported biomembranes. , 2009, Nano letters.

[9]  Numerical Study of the Electrical Properties of Insulating Thin Films Deposited on a Conductive Substrate , 2009 .

[10]  Giorgio Ferrari,et al.  Dielectric-constant measurement of thin insulating films at low-frequency by nanoscale capacitance microscopy , 2007 .

[11]  P. Chrétien,et al.  Capacitance measurements on small parallel plate capacitors using nanoscale impedance microscopy , 2007 .

[12]  G. Ferrari,et al.  Nanoscale capacitance imaging with attofarad resolution using ac current sensing atomic force microscopy. , 2006, Nanotechnology.

[13]  E. Barsoukov,et al.  Impedance spectroscopy : theory, experiment, and applications , 2005 .

[14]  Timothy A. Davis,et al.  Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method , 2004, TOMS.

[15]  V. Jović,et al.  Fractal Approach to ac Impedance Spectroscopy Studies of Ceramic Materials , 2001 .

[16]  P. Pickup,et al.  Simulation and analysis of the impedance behaviour of electroactive layers with non-uniform conductivity and capacitance profiles , 2001 .

[17]  J. Maier,et al.  The impedance of ceramics with highly resistive grain boundaries: validity and limits of the brick layer model , 1999 .

[18]  James S. Speck,et al.  Scanning capacitance microscopy imaging of threading dislocations in GaN films grown on (0001) sapphire by metalorganic chemical vapor deposition , 1998 .

[19]  Jürgen Fleig,et al.  The Influence of Laterally Inhomogeneous Contacts on the Impedance of Solid Materials: A Three-Dimensional Finite-Element Study , 1997 .

[20]  J. Maier,et al.  Finite element calculations of impedance effects at point contacts , 1996 .

[21]  A. Lichtenberg The quasi-static approximation for moving and finite temperature plasmas , 1964 .