Contact-free sheet resistance determination of large area graphene layers by an open dielectric loaded microwave cavity

A method for contact-free determination of the sheet resistance of large-area and arbitrary shaped wafers or sheets coated with graphene and other (semi) conducting ultrathin layers is described, which is based on an open dielectric loaded microwave cavity. The sample under test is exposed to the evanescent resonant field outside the cavity. A comparison with a closed cavity configuration revealed that radiation losses have no significant influence of the experimental results. Moreover, the microwave sheet resistance results show good agreement with the dc conductivity determined by four-probe van der Pauw measurements on a set of CVD samples transferred on quartz. As an example of a practical application, correlations between the sheet resistance and deposition conditions for CVD graphene transferred on quartz wafers are described. Our method has a high potential as measurement standard for contact-free sheet resistance measurement and mapping of large area graphene samples.

[1]  R. Ruoff,et al.  Broadband microwave and time-domain terahertz spectroscopy of chemical vapor deposition grown graphene , 2011, 1106.2472.

[2]  M. Chhowalla,et al.  A review of chemical vapour deposition of graphene on copper , 2011 .

[3]  J. Krupka,et al.  Microwave conductivity of very thin graphene and metal films. , 2011, Journal of nanoscience and nanotechnology.

[4]  J. Krupka,et al.  Invited article: Dielectric material characterization techniques and designs of high-Q resonators for applications from micro to millimeter-waves frequencies applicable at room and cryogenic temperatures. , 2014, The Review of scientific instruments.

[5]  Jerzy Krupka,et al.  Precise measurements of the complex permittivity of dielectric materials at microwave frequencies , 2003 .

[6]  M. Cassettari,et al.  Dielectric properties of materials using whispering gallery dielectric resonators: Experiments and perspectives of ultra-wideband characterization , 2000 .

[7]  J. Krupka,et al.  Measurements of Permittivity, Dielectric Loss Tangent, and Resistivity of Float-Zone Silicon at Microwave Frequencies , 2006, IEEE Transactions on Microwave Theory and Techniques.

[8]  J. Perruisseau-Carrier,et al.  Design of tunable biperiodic graphene metasurfaces , 2012, 1210.5611.

[9]  N. Cherpak,et al.  Two-layered disc quasi-optical dielectric resonators: electrodynamics and application perspectives for complex permittivity measurements of lossy liquids , 2007 .

[10]  E. Saiz,et al.  Activation energy paths for graphene nucleation and growth on Cu. , 2012, ACS nano.

[11]  M. Peiniger,et al.  The effective microwave surface impedance of high Tc thin films , 1990 .

[12]  F. Smits Measurement of sheet resistivities with the four-point probe , 1958 .

[13]  Jong-Hyun Ahn,et al.  Towards industrial applications of graphene electrodes , 2010 .

[14]  A. Plößl Wafer direct bonding: tailoring adhesion between brittle materials , 1999 .

[15]  R. Piner,et al.  Transfer of large-area graphene films for high-performance transparent conductive electrodes. , 2009, Nano letters.

[16]  Hongyu Yu,et al.  A Study on Graphene—Metal Contact , 2013 .

[17]  N. Klein,et al.  Microwave characterization of large area graphene using a TE01δ dielectric resonator , 2013, 2013 International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves.

[18]  J. Krupka,et al.  Measurements of the sheet resistance and conductivity of thin epitaxial graphene and SiC films , 2010 .

[19]  I. Ueda,et al.  Ba(Zn1/3Ta2/3)O3 Ceramics with Low Dielectric Loss at Microwave Frequencies , 1983 .

[20]  L. J. V. D. Pauw A METHOD OF MEASURING SPECIFIC RESISTIVITY AND HALL EFFECT OF DISCS OF ARBITRARY SHAPE , 1991 .

[21]  K. Novoselov,et al.  A roadmap for graphene , 2012, Nature.

[22]  J. Krupka,et al.  Complex permittivity measurements of lossy liquids at microwave frequencies , 2008, MIKON 2008 - 17th International Conference on Microwaves, Radar and Wireless Communications.

[23]  Michael E. Tobar,et al.  Complex permittivity of some ultralow loss dielectric crystals at cryogenic temperatures , 1999 .

[24]  J. Modelski,et al.  Surface resistance measurements of HTS films by means of sapphire dielectric resonators , 1993, IEEE Transactions on Applied Superconductivity.

[25]  Andreas Offenhäusser,et al.  Nanoliter liquid characterization by open whispering-gallery mode dielectric resonators at millimeter wave frequencies , 2008 .

[26]  U. Poppe,et al.  Microwave surface resistance of epitaxial YBa2Cu3O7 thin films at 18.7 GHz measured by a dielectric resonator technique , 1992 .

[27]  Thomas Gessner,et al.  Reactive Bonding and Low Temperature Bonding of Heterogeneous Materials , 2010 .

[28]  Janina Mazierska,et al.  Dielectric resonator as a possible standard for characterization of high temperature superconducting films for microwave applications , 1997 .

[29]  N Klein,et al.  Non-contact method for measurement of the microwave conductivity of graphene , 2013 .

[30]  R. A. Waldron,et al.  Perturbation theory of resonant cavities , 1960 .